Damage Formula

See: Combat Mechanics

General Damage Formula

This is the approximate formula to calculate adventurer and enemy damage. Some factors may not be accounted for. All damage is rounded down from its final value (i.e. a final calculation of 745.76 rounds down to 745 damage).

${\frac {5}{3}}*{\frac {(100-{Damage\ Resistance})\%*{Attacker's\ Strength}*{Attack\ Modifier\ \%}*{Crit\ Modifier}*{Skill\ Damage\ \%}*{Punisher\ Modifier\ \%}*{Elemental\ Modifier}*{Dragon\ Damage}*Damage\ Spread}{{Defender's\ Defense}*{Defender's\ Defense\ Change}}}$

Failed to parse (syntax error): {\displaystyle \frac{5}{3} * \frac{(100-{\color{Navy Blue}Damage\ Resistance})% * {\color{BrickRed}Attacker's\ Strength} * {\color{BrickRed}Attack\ Modifier\ %} * {\color{BurntOrange}Crit\ Modifier} * {\color{BurntOrange}Skill\ Damage\ %} * {\color{BurntOrange}Punisher\ Modifier\ %} * {\color{ForestGreen}Elemental\ Modifier} * {\color{Purple}Dragon\ Damage} * Damage\ Spread}{{\color{NavyBlue}Defender's\ Defense} * {\color{NavyBlue}Defender's\ Defense\ Change}}}

Variables

Variable	Description
Damage Resistance	Sum all resistances of the same type together and then multiply them by the other types. Glorious Tempest MUB with 25% High Midgardsormr Resistance and 5% Wind Resistance gives a total resistance multiplier of 1-(75% x 95%) = 28.75% against High Midgardsormr (Enemy) Volcanic Queen MUB with 20% Brunhilda Resistance and 5% Fire Resistance gives a total resistance multiplier of 1-(80% x 95%) = 24% against Brunhilda (Enemy)
Strength	Total Strength = (Displayed Strength - Displayed Strength from Ability) x (1 + Dragon STR Passive + Sum of all Abilities) x (1 + Sum of all Buffs) x (1 + Blade Unit Co-ability) Displayed Strength is the STR number seen on an adventurer's information page in-game. This includes the Dragon passives to HP/STR, or STR, as well as the 1.5x modifier to Dragon and Weapon base stats for same element boosts. Displayed Strength from Ability is found by clicking the Details button when looking at an Adventurer's individual page. This part contains the Dragon HP/STR and STR passives for matching elements, Full HP = Strength, HP 70% = Strength, etc.
Attack Modifier	If using a Normal Attack this is equal to the attack modifier. Refer to Combat Mechanics for the relevant numbers. If using a Skill, then this is the skill's individual multiplier. Refer to specific skill pages for the numbers.
Crit Modifier	When a unit lands a critical hit, the damage will have a 1.7 modifier + Sum of all Crit Damage modifiers.
Skill Damage	Normal attacks do not receive boosts from Skill Damage, so this is equal to 100% (has no effect) for Normal Attacks. For Skills this is equal to the sum of your passive (Abilities and Wyrmprints and Energize) Skill Damage boosts multiplied by highest Wand Co-ability (if present) multiplied by any active Skill Damage Buffs (such as Striker's Skill). Skill Damage Modifier = (1 + Sum of all Abilities) * (1 + Wand Unit Co-ability) * (1 + Sum of all Skill Damage Buff) Amane's Empyreal Levin Level 3 (2 hits of 492%) with Plunder Pals MUB (25% Skill Damage) and 5% Skill Damage Co-Ability. The total Skill Damage is 31.25% (Modifier of 131.25%), and increases the damage of Empyreal Levin to 2 hits of 645.75%. Lucretia's Energized Empowering Triplet (3 hits of 322%, with 50% Bonus Skill Damage) with Plunder Pals MUB (25% Skill Damage) and 8% Skill Damage Co-Ability. The total skill damage is 89% (Modifier of 189%), and increases the damage of Empowering Triplet to 3 hits of 608.58%.
Punisher Modifier	Add up all Punisher and Bane damage except Broken Punisher Ex. OD Punisher 8% + Thaumian's Bane 25%, for a 33% total Punisher on a OD enemy Ex. OD Punisher 8% + Sleep Punisher 20%, for a 28% total Punisher on a OD enemy Ex. OD Punisher 8% + Bleed Punisher 8%, for a 16% total Punisher on a OD enemy Ex. OD punisher 8% + OD Punisher 8%, for a 16% total Punisher on a OD enemy Add up all Broken Punisher and multiply it by any other Punisher Ex. Broken Punisher 10% + Broken Punisher 25%, Ezelith using One with the Shadows 0UB, for a total of 35% Broken Punisher) Then multiply them to get the total punisher modifier Ex. Broken Punisher 10% x Blinded Punisher 25%, Nefaria using One with the Shadows 0UB, for a 37.5% Total Punisher on a Blinded and Broken enemy) Ex. Broken Punisher 20% x Thaumian's Bane 25%, for a 50% total Punisher on a Broken enemy.)
Elemental Modifier	See Elemental Modifier below.
Dragon Damage	While shapeshifted, you receive a boost to all damage done. Total boost is the Sum of all Dragon Damage Modifiers, the base transformation Dragon Damage boost is 20%. Ex. Wind Dracolith level 10 gives a total Dragon Damage Modifier of 20% + 10% = 30% Ex. Water Dracolith level 15 and Entwined Flames 0UB gives a total Dragon Damage Modifier of 20% + 15% + 6% = 41%
Damage Spread	This is the inherent RNG Variance of the damage formula. This ranges from 95% to 105%, but for simple calculations, assuming 100% is sufficient.
Defense	Base Defense for most enemies is 10 while some Thaumians (golems/slimes) have a base Defense of 50. Rare enemies can have a defense range anywhere between 12 to 250. Melee adventurers (Sword/Blade/Dagger/Axe/Lance) have a base defense of 10, while Ranged adventurers (Bow/Wand/Staff) have a base defense of 8. To check the defense of a specific enemy or adventurer, refer to their individual Wiki pages.
Defense Change	Sum of all status changes which have an effect on defense. For Boss Mode Modifiers see below. Note that some Thaumians have unique Overdrive/Break modifiers.

Elemental Modifier

The elemental bonus value is one of the following, depending on element advantage / disadvantage. See Elements for more information.

Elemental Bonus	Value
Neutral	1
Advantage	1.5
Disadvantage	0.5

Boss Mode Modifiers

Note: Values of 0 are equal to a modifier of 1, as are values of 1, this is due to different styles of entering the data through different updates.

Regular Bosses

	Str Modifier	Def Modifier
Overdrive	1.2	1
Break	0.7	0.6

Sentinel Bosses

	Str Modifier	Def Modifier
Overdrive	1.2	1.2
Break	0.7	0.1

Golem Bosses

	Str Modifier	Def Modifier
Overdrive	1.2	1.2
Break	0.5	0.3