Damage Calculations

Introduction

This page lists all the applicable damage formulas for a single fleet. Special cases like Combined Fleets and Land-Based Air Squadrons have their own adjustments to the standard damage formulas. Please see those pages for further details.

Please note that all formulas between [math]\displaystyle{ \lfloor \ \rfloor }[/math] or marked with [math]\displaystyle{ \downarrow }[/math] are rounded down.

• For example, [math]\displaystyle{ \lfloor 4.2 \rfloor = 4 }[/math].
• [math]\displaystyle{ 4.2 \times_\downarrow 1.5 = \lfloor 4.2 \times 1.5 \rfloor = \lfloor 6.3 \rfloor = 6 }[/math], but [math]\displaystyle{ 4.2 \times_\downarrow 1 = 4.2 }[/math] (by definition, [math]\displaystyle{ \times_\downarrow }[/math] is then a non-commutative non-associative operator, it is assumed to be left-associative with lower priority than the usual multiplication operator).

Damage Formula

[math]\displaystyle{ \text{Damage} = \biggl \lfloor \biggl ( \lfloor \text{Atk}_\text{cap} \rfloor \times \text{Mod}_\text{spotting} \times_\downarrow \text{Mod}_\text{AP} \times \text{Mod}_\text{CVCI} \times_\downarrow \text{Crit} \times \text{Mod}_\text{post} - \text{DEF} \biggr ) \times \text{Ammo} \biggr \rfloor }[/math]

• [math]\displaystyle{ \text{Atk}_\text{cap} }[/math] is the Cap Adjusted Attack Power
• [math]\displaystyle{ \text{Mod}_\text{spotting} }[/math] is the bonus from artillery spotting.
• [math]\displaystyle{ \text{Mod}_\text{CVCI} }[/math] is the bonus from carrier cut-ins.
• [math]\displaystyle{ \text{Mod}_\text{AP} }[/math] is the bonus from having an AP shell equipped, if applicable.
• [math]\displaystyle{ \text{Mod}_\text{post} }[/math] is any remaining post-cap modifiers that are applicable.
• [math]\displaystyle{ \text{Crit} }[/math] is the critical strike modifier.
• [math]\displaystyle{ \text{Ammo} }[/math] is the remaining ammunition modifier.
• [math]\displaystyle{ \text{DEF} }[/math] is the defensive power of the target.

Where, Cap Adjusted Attack Power is Basic Attack Power that has been adjusted by applying the damage cap. This only applies if the calculated pre-cap attack power is above the damage cap.

[math]\displaystyle{ \text{Atk}_\text{cap} = \text{Cap} + \sqrt{\left ( \text{Atk}_\text{basic} \times \text{Mod}_\text{pre}\right)-\text{Cap}} }[/math]

• [math]\displaystyle{ \text{Cap} }[/math] is the damage cap relevant to the phase.
• [math]\displaystyle{ \text{Atk}_\text{basic} }[/math] is the basic attack power of the relevant attack.
• [math]\displaystyle{ \text{Mod}_\text{pre} }[/math] is any pre-cap modifiers that are applicable.

Defense Power

[math]\displaystyle{ \text{DEF} = \left( \text{Armour} \times 0.7 + \text{Armour}_\text{rand} \times 0.6 \right) - \text{Pen} }[/math]

• [math]\displaystyle{ \text{Armour} }[/math] is the armour of the target including all equipment and upgrade bonuses.
• [math]\displaystyle{ \text{Armour}_\text{rand} }[/math] is a random number between [math]\displaystyle{ 0 }[/math] and [math]\displaystyle{ \lfloor\text{Armour}\rfloor - 1 }[/math]
  • Note that it is inclusive, meaning it can also output [math]\displaystyle{ 0 }[/math] and [math]\displaystyle{ \lfloor\text{Armour}\rfloor - 1 }[/math]
• [math]\displaystyle{ \text{Pen} }[/math] is any applicable armour penetration mechanic like debuffs or the depth charge penetration for ASW.
  • Type 95 Depth Charge: [math]\displaystyle{ -1 }[/math]
  • Type 2 Depth Charge: [math]\displaystyle{ -2 }[/math]
  • There is an additional 1 penetration if the depth charge is equipped on a destroyer escort.
  • The formula is [math]\displaystyle{ \text{Pen}_\text{DC} = \sqrt{\text{ASW}_\text{equip}-2} + \text{Mod}_\text{ship} }[/math]

Therefore, the maximum armour value [math]\displaystyle{ \text{Armour} \times 1.3 - 0.6 }[/math] and the minimum armour value is [math]\displaystyle{ \text{Armour} \times 0.7 }[/math]. This makes the maximum defensive power a target can have is 1.3x armour and the lowest is 0.7x armour.

Important Notes

• The range of armour values is uniformly distributed, every armour roll has the same chance of occurring.

Basic Attack Power Formulas

The following formulas only apply to single fleets. Please see Combined Fleet, Land-Based Air Squadron and Support Expeditions for more details.

Important Notes

• Please see Akashi List for upgrade bonus values.
• [math]\displaystyle{ \text{FP} }[/math] is the firepower of the ship including equipment.
• [math]\displaystyle{ \text{TP} }[/math] is the torpedo of the ship including equipment or the torpedo of a plane.
• [math]\displaystyle{ \text{ASW} }[/math] is the anti-submarine of the ship or equipment.
• [math]\displaystyle{ \text{DB} }[/math] is the dive bombing of the plane.
• [math]\displaystyle{ \bigstar }[/math] is the upgrade bonus of the equipment.

Airstrike

This applies to both jet assaults, airstrikes and LBAS.

[math]\displaystyle{ \text{Airstrike Power} = \text{Type} \times \biggl( \left( \text{DB or TP} + \bigstar \right) \times \sqrt{\text{Count}_\text{Plane}} + 25 \biggr) }[/math]

• [math]\displaystyle{ \text{Type} }[/math] is a multiplier based on the type of the plane. See below for details.
• [math]\displaystyle{ \text{Count}_\text{Plane} }[/math] is the number of planes performing the attack.

Type	Multiplier	Notes
Torpedo Bombers	0.8x or 1.5x	The multiplier is chosen randomly. The chance is roughly 50%.
Dive Bombers Seaplane Bombers Fighter Bombers	1.0x
Jets (During jet assault)	1.0x
Jets (During normal bombing)	0.7071x

Important Notes

• Airstrike power is calculated independently for each equipment slot on the carrier.
• The firepower of the carrier does not affect airstrike power.
• Torpedo Stat from fit does not contribute to airstrike damage
• The power is calculated after the air combat and anti-air fire phases which means bombers getting shot down will affect the final calculation.
• It is not affected by engagement, formation or damage states.
• It is affected by contact.
• For LBAS, the stat used when calculating attack power varies based on the target. Please see LBAS for more details.

Surface Shelling

[math]\displaystyle{ \text{Shelling Power} = \text{FP} + \bigstar + 5 }[/math]

Important Notes

• The caliber of the gun does not affect damage.
• Abyssal installations that are not equipped with a plane that has a torpedo or dive bombing stat will use the surface shelling formula for calculating damage.

Carrier Attacks

[math]\displaystyle{ \text{Power}_\text{carrier} = \bigl\lfloor \left( \text{FP} + \left(\text{TP} + \bigstar \right) + \lfloor \text{DB} \times 1.3 \rfloor + \bigstar \right) \times 1.5 \bigr\rfloor + 55 }[/math]

Important Notes

• Dive and Torpedo groups contribute, respectively, twice (1.95) and 1.5 times their dive bomb and torpedo stats towards shelling power
• Torpedo Stat from fit does not contribute to shelling damage
• If a carrier is not equipped with any torpedo or dive bombers, she will not participate in shelling.
  • This also applies if they have lost all bombers during the aerial combat phase.
  • But even if an air group has had all its planes shot down, it will still contribute towards carrier shelling power (if the CV is still capable of attacking).
• Remember that there are potentially two sources of [math]\displaystyle{ \bigstar }[/math] bonuses.
  • Torpedo bomber upgrades to the torpedo stat.
  • Secondary and machine gun upgrades to the firepower stat.
• Slot sizes and the number of remaining aircraft do not affect carrier attack power during shelling.
• Carriers have the easiest time hitting the damage cap. This makes them very powerful assets for the fleet.
• Abyssal installations equipped with a plane that has a torpedo or dive bombing stat will use the carrier formula for determining shelling damage.
• Planes are not shot down when a carrier participates in shelling

Torpedo Attacks

[math]\displaystyle{ \text{Torpedo Power} = \text{TRP} + \bigstar + 5 }[/math]

Important Notes

• Submarines and Abyssal installations cannot be targeted by torpedoes.
  • If the only available targets are submarines or installations, the attack will trigger but always miss.
• A ship must have a base torpedo stat of more than 0 to perform torpedo attacks.

Anti-Submarine Warfare

[math]\displaystyle{ \text{ASW Power} = \left( 2\sqrt{\text{ASW}_\text{ship}} + 1.5\text{ASW}_\text{equip} + \bigstar + \text{Type}_\text{ship} \right) \times \text{Mod}_\text{synergy} }[/math]

• [math]\displaystyle{ \text{Type}_\text{ship} }[/math] is a constant depending on the type of the ship performing the attack. See below for details.
• [math]\displaystyle{ \text{Mod}_\text{synergy} }[/math] is the synergy multiplier bonus from using certain combinations of ASW equips. See below for details.

Ship Type Constant

Constant	Ship Types
13	Destroyer Escorts, Destroyers, Light Cruisers, Oilers (without seaplane bombers, torpedo bombers or rotary-wing aircraft equiped)
8	Aviation Cruisers, Aviation Battleships, Seaplane Tenders, Light Carriers, Landing Ships, Oilers (with seaplane bombers, torpedo bombers or rotary-wing aircraft equiped)

ASW Synergy Bonus

Equipment Combination	Bonus
Depth Charge + Depth Charge Projector + Sonar	1.4375x
Depth Charge Projector + Sonar	1.15x
Depth Charge + Sonar	1.15x
Depth Charge + Depth Charge Projector	1.1x

• The bonuses do not stack.
  • The exception is when using the special depth charge projectors detailed below.
• Multiple equipment of the same type still only apply the bonus once.
• There is an accuracy bonus as well but it is small. Stacking sonars will give a bigger accuracy bonus.
• The breakdown of equipment types are:
  • Sonars: Type 93 SONAR, Type 3 SONAR, Type 0 Passive SONAR, Type 4 SONAR, Type124 ASDIC, Type144/147 ASDIC, HF/DF + Type144/147 ASDIC
  • Depth Charge Projectors: Type 94 Depth Charge Launcher, Type 3 Depth Charge Launcher
  • Depth Charges: Type 95 Depth Charge, Type 2 Depth Charge
• The Type 3 Depth Charge Launcher (Concentrated Deployment), Prototype 15cm Nonuple ASW Rocket Launcher, Type 2 12cm Mortar Kai and Type 2 12cm Mortar Kai (Concentrated Deployment) do not count as depth charge projectors for the DC+DCP+Sonar synergy bonus.
  • They do still count for the DCP+Sonar synergy bonus.
  • Because they do not count, the DCP+Sonar bonus with these equips stack with the other DC+DCP+Sonar bonus.
  • This is only possible with a ship that has 4 equipment slots.

Important Notes

• When contributing to ASW power, Base ASW is square rooted, while equipment ASW is multiplied by 1.5
  • ASW equipment is therefore the primary source of ASW damage, with base ASW playing a very minor role
  • However, base ASW is the primary determinant of whether a ship can reach 100 total ASW to perform opening ASW attacks
• Submarines cannot take more than scratch damage at night (and therefore cannot be sunk)
  • The exception to this rule is when a battle starts at night, or when in a combined fleet
• It is possible to perform opening ASW attacks when certain conditions are achieved. For more details, please see Opening Anti-Submarine Warfare.
  • As performing an opening attack effectively doubles your damage output, reaching this OASW threshold is in general more important than tacking on additional synergy

Surface Night Battle

[math]\displaystyle{ \text{Night Battle Power} = \text{FP} + \text{TP} + \bigstar + \text{Mod}_\text{contact} }[/math]

• [math]\displaystyle{ \text{Mod}_\text{contact} }[/math] is the Night Battle Contact constant of +5 if triggered.

Important Notes

• Night battle is unaffected by engagement.
  • Exceptions are ASW for night battle nodes and Nelson Touch.
• If a night battle special attack is evaded, chip damage is applied instead.
• Graf Zeppelin, Base Saratoga, Taiyou Kai Ni, Ark Royal (with Swordfish use the surface night battle formula if they are not performing a carrier night attack.
• In night battle versus Abyssal installations, the torpedo stat is ignored.
  • This also means any upgrade bonuses to torpedo power is ignored.

Carrier Night Cut-In

[math]\displaystyle{ \text{Night Battle Power}_\text{carrier} = \text{FP}_\text{ship} + \sum_\text{All Night Planes} \text{FP}_\text{night plane} + \text{TP}_\text{night plane} + \text{DB}_\text{night plane} + \text{Night Plane Bonus} }[/math]

Where:

[math]\displaystyle{ \text{Night Plane Bonus} = \mathrm{A} \times \text{Count}_\text{plane} + \mathrm{B} \times \left( \text{FP}_\text{night plane} + \text{TP}_\text{night plane} + \text{DB}_\text{night plane} + \text{ASW}_\text{night plane} \right) \times \sqrt{\text{Count}_\text{plane}} + \sqrt{\bigstar} }[/math]

• [math]\displaystyle{ \mathrm{A} }[/math] is 3 for night planes; and 0 for Swordfish, Zero Fighter Type 62 (Fighter-bomber/Iwai Squadron) and Suisei Model 12 (w/ Type 31 Photoelectric Fuze Bombs)
• [math]\displaystyle{ \mathrm{B} }[/math] is 0.45 for night planes and 0.3 for Swordfish, Type 62 Iwai and Photobomb Suisei.

Important Notes

• Carriers must be equipped with a Night Operation Aviation Personnel or Night Operation Aviation Personnel + Skilled Deckhands in addition to night attack capable planes in order to perform carrier night attacks.
  • Exceptions to this are Saratoga Mk.II and Akagi Kai Ni E that only need night attack capable planes.
• If the carrier night attack is evaded, it deals chip damage instead.
• Unlike daytime carrier attacks, it is possible to attack even if no bombers are equipped.
  • You still need night fighters to trigger the attack.
• Like daytime carrier attacks, carriers are unable to attack if moderately damaged or worse.
  • Armoured carriers are only disabled at heavy damage.
  • Carriers that can use the night battle shelling formula will use that instead if moderately damaged.
• The formula only takes into account the base stats of the carrier and night attack capable planes equipped.
  • The hidden upgrade bonus to stats is not taken into account.
  • This means any other stats and upgrade bonuses from equipment like guns and non-night capable planes are ignored.
  • This also means that visible Torpedo Stat Fit Bonus from Planes is also ignored
• Certain carriers like Graf Zeppelin, Taiyou Kai Ni, Shinyou Kai Ni, base Saratoga and Ark Royal are capable of performing night attacks but they are not carrier night cut-ins and are just normal carrier attacks. Please see Carrier Night Attacks for more details.

Anti-Installation Attacks

[math]\displaystyle{ \text{Anti-Installation Power} = \text{Atk} \times \text{Mod}_\text{A} + \text{Mod}_\text{B} }[/math]

• [math]\displaystyle{ \text{Atk} }[/math] is the basic attack power of shelling, carrier attacks, night battle or carrier night attacks with the torpedo stat ignored.
• [math]\displaystyle{ \text{Mod}_\text{A} }[/math] are the multiplicative anti-installation bonuses. See below for details.
• [math]\displaystyle{ \text{Mod}_\text{B} }[/math] are the additive anti-installation bonuses. See below for details

Multiplicative Bonuses

Equipment Name	Artillery Imp		Isolated Island Demon		Soft-Skinned		Harbour Summer Princess
	Single	Multiple	Single	Multiple	Single	Multiple	Single	Multiple
Anti-Aircraft Shells	-		1.75		2.5		1.75
Armour-Piercing Shells	1.85		-		-		1.3
WG42 (Wurfgerät 42)	1.6	2.72	1.4	2.1	1.3	1.82	1.4	1.68
Shipborne Model Type 4 20cm Anti-ground Rocket Launcher	1.5	2.7	1.3	2.145	1.25	1.875	1.25	1.75
Mortars	1.3	1.95	1.2	1.68	1.2	1.56	1.1	1.265
Landing Crafts	1.8		1.8		1.4		1.7
Toku Daihatsu-class Landing Craft	1.15		1.15		1.15		1.2
Daihatsu-class Landing Craft (Type 89 Medium Tanks & Marines)	1.5	2.1	1.2	1.68	1.5	1.95	1.6	2.4
Toku Daihatsu Landing Craft + 11th Tank Regiment	1.8		1.8		1.8		1.8
M4A1 DD	1.1		??		1.1		2.0
M4A1 DD	1.4
Landing Craft Upgrade Bonus	[math]\displaystyle{ 1 + \dfrac{\left( \text{Average Landing Craft}\ \bigstar \right)}{50} }[/math]
Type 2 Ka-Mi Tank	2.4	3.24	2.4	3.24	1.5	1.8	2.8	4.2
Tank Upgrade Bonus	[math]\displaystyle{ 1 + \dfrac{\left( \text{Average Landing Craft}\ \bigstar \right)}{30} }[/math]
Dive Bombers	1.5	??	1.4	??	-		1.3	??
Seaplane Bombers Seaplane Fighters	1.5		-		1.2		1.3
Destroyers Light Cruisers	1.4		-		-		-
Land-Based Air Squadron	1.6		1.18		-		-

Additive Bonuses

Equipment Name	Number Equipped
	1	2	3	4
WG42 (Wurfgerät 42)	75	110	140	160
Shipborne Model Type 4 20cm Anti-ground Rocket Launcher	55	115	160	190
Type 4 20cm Anti-ground Rocket Launcher (Concentrated Deployment)	80	170	??	??
Type 2 12cm Mortar Kai	30	55	75	90
Type 2 12cm Mortar Kai (Concentrated Deployment)	60	110	150	??
Toku Daihatsu Landing Craft + 11th Tank Regiment	25
M4A1 DD	25
Submarines	30

• Question marks indicate values that haven't been tested.

Important Notes

• For the Toku Daihatsu, T98+Marines, and 11th Tank Regiment, they get both the regular Daihatsu bonus and their own special bonus.
• All multipliers of different types are multiplicative.
  • The exception is that bombers don't get the carrier attack multiplier and the airstrike multiplier during airstrikes.
• Excepting Supply Depot Princess and LBAS, all anti-installation multipliers are pre-cap.
• The amount of multipliers available make even low firepower ships like destroyers capable of hitting the daytime damage cap.

Attack Power Corrections

After calculating the basic attack power of the attack being made, it is then adjusted based on various factors. Attack power modifiers can be split into pre- and post-cap modifiers. Post-cap modifiers are more powerful to have because they aren't reduced by the cap.

Attack Power Cap

The attack power cap varies depending on the phase of combat it is in.

• Support, ASW, Air Attack power - 170
• Day shelling - 220
• opening and closing torpedo - 180
• Night battle - 360

Important Notes

• Any excess firepower above this cap is square rooted. Please see the damage formula for how it is applied.
• It is still worth aiming to go above the attack power cap because some pre-cap modifiers can severely reduce your attack power.

Pre-cap Modifiers

Engagement

For more details on engagement, please see Engagement Form.

Form	Damage Modifier	Chance	Chance with Saiun
Parallel Engagement 同航戦 (Doukousen, 同航戦?)	100%	45%	45%
Head-on Engagement 反航戦 (Hankousen, 反航戦?)	80%	30%	40%
Crossing the T (Advantage) T字戦有利 (T Ji-sen Yuuri, T字戦有利?)	120%	15%	15%
Crossing the T (Disadvantage) T字戦不利 (T Ji-sen Furi, T字戦不利?)	60%	10%	0%

• All engagement forms affect both sides equally, including crossing the T (Advantage or Disadvantage).
• Night battle and aerial combat are not affected by engagement.
  • The exception to this are ASW and Nelson Touch.
• OASW and opening torpedoes are affected by engagement even though it is only displayed after those phases.
• Equipping a Saiun effectively makes what would have been Crossing the T (Disadvantage) become Head-on engagement.

Important Notes

• It is useful in some situations to not take the Saiun in order to get Crossing the T (Disadvantage). This is because it can hamper the enemy from damaging your fleet as much as it hampers yours.

Formation

For more details on formation, please see Formation Selection.

Formation Attack Power Modifiers

Formation	Shelling	Torpedo	Anti-Submarine	Night Battle
Line Ahead 単縦陣 (Tanjuu-jin, 単縦陣?)	100%	100%	60%	100%
Double Line 複縦陣 (Fukujuu-jin, 複縦陣?)	80%	80%	80%	100%
Diamond 輪形陣 (Rinkei-jin, 輪形陣?)	70%	70%	120%	100%
Echelon 梯形陣 (Teikei-jin, 梯形陣?)	75%	60%	110%	100%
Line Abreast 単横陣 (Tan'ou-jin, 単横陣?)	60%	60%	130%	100%
Vanguard 警戒陣 (Keikai-jin, 警戒陣?)	50%	100%	100%	50%
	100%	100%	60%	100%

Damage State

Damage State	Shelling	Torpedo	Anti-Submarine
Lightly Damaged (小破)	100%	100%	100%
Moderately Damaged (中破)	70%	80%	70%
Heavily Damaged (大破)	40%	0%	40%

Important Notes

• Damage state does not affect aerial combat.
  • It will affect carrier attacks in the shelling phase.

Night Battle Special Attacks

For more details please see Night Battle Special Attacks.

Attack Type		Number of Equipment						Multiplier	No. of Attacks	Notes
		Main Gun	Secondary Gun	Torpedo	RADAR	Skilled Lookout	Submarine Radar
Cut-In	Torpedo/Lookout/RADAR Destroyer Lookout	-	-	1	1	1	-	120%	1	Destroyers only.
	Main/Torpedo/RADAR Destroyer Mixed	1	-	1	1	-	-	130%	1	Destroyers only
	Main/Torpedo/Radar Special Destroyer Mixed	1	-	1	1	-	-	162.5%	1	Destroyers only
	Main/Torpedo/Radar Special Destroyer Mixed	1	-	1	1	-	-	170.6%	1	Destroyers only
	Torpedo/Torpedo/Torpedo Submarine Torpedo	-	-	2	-	-	-	160%	2	Submarines only
	Torpedo/Torpedo/Sub RADAR Submarine Radar	-	-	1	-	-	1	175%	2	Submarines only
	Torpedo/Torpedo/Torpedo Torpedo	-	-	2	-	-	-	150%	2
	Main/Main/Main Gun	3	-	-	-	-	-	200%	1
	Main/Main/Secondary Mixed Gun	2	1	-	-	-	-	175%	1
Main/Torpedo/Torpedo Mixed Torpedo	1	-	1	-	-	-	130%	2
Double Attack		2		-	-	-	-	120%	2

Carrier Night Attacks

For more details please see Carrier Night Attacks.

Type		Modifier	Notes
Cut-In	2x Night Fighter 1x Night Bomber	1.25
	1x Night Fighter 1x Night Bomber	1.2
	3x Night Fighter	1.18
	2x Night Fighter Other
	Night Fighter Night Bomber Other
	Night Fighter 2x Other
Normal Attack		1.0

• "Other" referrs to Swordfish, Zero Fighter Type 62 (Fighter-bomber/Iwai Squadron) and Suisei Model 12 (w/ Type 31 Photoelectric Fuze Bombs).

Gun Fit Bonuses

Unlike the other pre-cap bonuses, this is just an additive firepower bonus added for light cruisers and Italian heavy cruisers when equipped with certain guns. The bonus is minor, please refer to the gun fit bonuses for more details.

Post-cap Modifiers

Aerial Contact

For more details please see Aerial Combat.

During aerial combat, there is a chance for your ships to trigger Contact. When it is triggered, the is a bonus multiplier applied to airstrike damage depending on the accuracy of the plane that triggered contact.

Accuracy	Damage Bonus
0	112%
1	112%
2	117%
3	120%

Artillery Spotting

For more details, please see Artillery Spotting

Type		Modifier	Notes
Cut-In	2x Main Gun Armour-Piercing Shell	1.5
	Main Gun Secondary Gun Armour-Piercing Shell	1.3
	Main Gun Secondary Gun RADAR	1.2
	Main Gun Secondary Gun	1.1
Double Attack		1.2x2
Normal Attack		1.0

Carrier Cut-In Attacks

For more details, please see Carrier Cut-In Attacks.

Type		Modifier	Notes
Cut-In	Fighter Dive Bomber Torpedo Bomber	1.25
	2x Dive Bomber Torpedo Bomber	1.2
	Dive Bomber Torpedo Bomber	1.15
Normal Attack		1.0

Armour-Piercing Modifier

During day combat, certain enemy ships take extra damage from armour-piercing shells.

Type	Modifier
Main Gun Armour-Piercing Shell	1.08
Main Gun Armour-Piercing Shell RADAR	1.10
Main Gun Secondary Gun Armour-Piercing Shell	1.15
Main Gun Secondary Gun Armour-Piercing Shell RADAR	1.15

• It is inadvisable to run any of the other setups beyond the most basic Gun+AP. This is because the other setups will interfere with artillery spotting and cost you better attack bonuses.
• The bonus applies when attacking battleships (including aviation), heavy cruisers (including aviation), carriers, and installations.
  • It also applies to demon, princess, water demon and imp enemies that are classified as one of the above. This means that destroyer, light cruiser seaplane tender and air-defense bosses are exempt.

Anti-Installation Equipment Modifiers

Multiplicative Bonuses

Equipment Name	Supply Depot Princess
	Single	Multiple
Anti-Aircraft Shells	-
Armour-Piercing Shells	-
WG42 (Wurfgerät 42)	1.25	1.625
Shipborne Model Type 4 20cm Anti-ground Rocket Launcher	1.2	1.68
Mortars	1.15	1.38
Landing Crafts	1.7
Toku Daihatsu-class Landing Craft	1.2
Daihatsu-class Landing Craft (Type 89 Medium Tanks & Marines)	1.3	2.08
Toku Daihatsu Landing Craft + 11th Tank Regiment	-
M4A1 DD	1.2
Landing Craft Upgrade Bonus	[math]\displaystyle{ 1 + \dfrac{\left( \text{Average Landing Craft}\ \bigstar \right)}{50} }[/math]
Type 2 Ka-Mi Tank	1.7	2.55
Tank Upgrade Bonus	[math]\displaystyle{ 1 + \dfrac{\left( \text{Average Landing Craft}\ \bigstar \right)}{30} }[/math]
Dive Bombers	-
Seaplane Bombers Seaplane Fighters	-
Destroyers Light Cruisers	-
Land-Based Air Squadron	2.1

Important Notes

• Carrier-based dive bombers, seaplane bombers and land-based attack aircraft have further multiplicative and additive post-cap bonuses versus certain installations during airstrikes.
  • Artillery Imp - 1.55x
  • Isolated Island Demon - 1.7x
  • Supply Depot Princess - +100
• For the Toku Daihatsu, T98+Marines, and 11th Tank Regiment, they get both the regular Daihatsu bonus and their own special bonus.
  • T89+Marines gets double the bonus from upgrades. Unlike the normal upgrade multiplier, the bonus only takes into account the T89's upgrade value instead of the average upgrade value of all landing craft.
• The amount of multipliers available make even low firepower ships like destroyers viable anti-installation ships.

Critical Strikes

For more details on how critical chance is calculated, please see Accuracy, Evasion and Criticals.

Normal Criticals

Attack Type	Modifier
Normal	100%
Critical	150%

Plane Proficiency Critical Modifier

Carriers get a bonus critical modifier when equipped with high proficiency planes. This modifier is multiplicative with the normal critical modifier. For more details, please see Plane Proficiency

• For Carrier Attacks, they gain a [math]\displaystyle{ 1.2 }[/math] critical bonus multiplier for a >> plane in the top slot and an additional [math]\displaystyle{ +0.1 }[/math] for every other >> plane.
  • For example, a carrier with two max proficiency planes (with one in the top slot) would get a critical bonus of: (1.2+0.1) x 1.5 = 1.95.
• For Carrier Cut-In Attacks, they gain a [math]\displaystyle{ 1.106 }[/math] bonus when a >> plane is selected to participate in the attack and an additional [math]\displaystyle{ +0.15 }[/math] if one of the selected planes is in the top slot.

Ammunition Modifier

The damage of your fleet is reduced once their ammunition falls below 50%. This modifier cannot go above 1. The formula use to determine this is:

[math]\displaystyle{ \text{Ammo} = \dfrac{\text{Remaining Ammo %}}{50} }[/math]

Remaining Ammo	Ammo Modifier	Notes
>50%	100%
40~49%	80%	4th Battle
30~39%	60%
20~29%	40%	5th Battle
10-19%	20%
0%	0%	6th Battle

• The battle number indicated in the notes assumes only normal surface engagements. Engaging in night battle and other special engagements can change that number.
• Whatever ammunition modifier applies in day battle carries over to night battle.
• Maelstroms that reduce ammunition also count towards this modifier.
• The low ammo penalty can be counteracted with the Maritime Resupply item. Please see the page for more details.
• The ammunition modifier affects aerial battle.
• Once you hit 0% ammo, all attacks become chip damage.
• Chip damage is unaffected by the ammunition modifier.
• Debuffs are affected by the ammunition modifier.

Miscellaneous Damage Modifiers

Chip Damage

In the event that a special attack is evaded, you are unable to penetrate the target's armour, or your ammunition hits 0; attacks will deal chip damage instead. Chip damage is dealt as a percentage of remaining HP calculated using the following formula:

[math]\displaystyle{ \text{Chip} = \text{HP}_\text{current} \times 0.06 + \text{HP}_\text{rand} \times 0.08 }[/math]

• [math]\displaystyle{ \text{HP}_\text{current} }[/math] is the current HP of the target.
• [math]\displaystyle{ \text{HP}_\text{rand} }[/math] is a random HP number between 0 and [math]\displaystyle{ \text{HP}_\text{current} - 1 }[/math]

Therefore the maximum possible chip damage [math]\displaystyle{ \text{HP}_\text{current} \times 0.14 - 0.08 }[/math] and the minimum damage is [math]\displaystyle{ \text{HP}_\text{current} \times 0.06 }[/math]. Meaning chip damage is generally between 6-14% of current HP.

• If the target's HP is low, it is possible for the result of the formula to return a result of 0. Remember that all formulas are rounded down.
  • This means the target's HP cannot be reduced to 0 by chip damage.

Debuffs

Debuffs are a special case that only apply during events. Certain event maps have debuff mechanics that require you to meet certain conditions to trigger them. Debuffs can be either a reduction to the enemy's armour or a post-cap damage modifier for your fleet.

Important Notes

• Debuffs are affected by the remaining ammo modifier.

Overkill Protection

When a ship in your fleet takes more damage than her current HP, she will take a percentage of her current HP in damage instead.

• The ship must be the flagship OR
• The ship must not be heavily damaged nor red morale at the start of the battle.
  • If the ship has red morale, she will just have her HP reduced to 1.

[math]\displaystyle{ \text{Overkill} = \text{HP}_\text{current} \times 0.5 + \text{HP}_\text{rand} \times 0.3 }[/math]

• [math]\displaystyle{ \text{HP}_\text{current} }[/math] is the current HP of your ship.
• [math]\displaystyle{ \text{HP}_\text{rand} }[/math] is a random HP number between 0 and [math]\displaystyle{ \text{HP}_\text{current} - 1 }[/math]

Therefore, the maximum damage from overkill protection is [math]\displaystyle{ \text{HP}_\text{current} \times 0.8 - 0.3 }[/math] and the minimum damage is [math]\displaystyle{ \text{HP}_\text{current} \times 0.5 }[/math]. Meaning overkill protection will take off between 50-80% of your ship's current HP.

Important Information

• In general:
  • Overkill protection is most applicable to DDs.
    • The most pronounced effects of overkill protection occur at low HP
    • It is also the primary means of surviving a hit they fail to evade
    • For example, a 32HP DD has a 15.5% chance of being heavily damage by a BB hime, while a 31 HP DD has just a 6.5% chance
    • This has great implications when marrying ships, 36 HP has one of the highest chances of a taiha
  • Odd numbered HP is better when overkill protection is triggered. This is because the damage calculations round down, reducing the likelihood of being knocked down to heavy damage.
  • This mechanism is most applicable to ships at full HP. Once a ship starts taking damage, the utility of overkill protection diminishes
• As a rule, ships with HP that is divisible by 4 have worse survivability.