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).

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\frac {5}{3}}*{\frac {(100-{Damage\ Resistance})\%*{Attacker's\ Strength}*{Attack\ Modifier\ \%}*{Crit\ Modifier}*{Skill\ Damage\ \%\ or\ Force\ Damage\ \%}*{Punisher\ Modifier\ \%}*{Elemental\ Modifier}*{Dragon\ Damage}*Damage\ Spread}{{Defender's\ Defense}*{Defender's\ Defense\ Change}}}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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\ %\ or\ Force\ 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. MUB with and gives a total resistance multiplier of 1-(75% x 95%) = 28.75% against High Midgardsormr (Enemy) MUB with and 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 + Strength Co-ability) For the majority of adventurers that have optimal performance at high or full HP, and no Flurry Strength abilities are in play, this may be further simplified as Total Strength = Displayed Strength x (1 + Sum of all Strength buffs) x (1 + Strength Co-ability) as long as all conditions are met. Displayed Strength is the strength number seen on an adventurer's information page in-game. This includes the sum of all base stats that apply to the adventurer, weapon, dragon, wyrmprints, halidom bonuses, and augments, as well as same element bonuses on the equipped weapon and dragon. Displayed Strength from Ability is found by clicking the Details button when looking at an adventurer's individual page. This part contains the additional stats granted from a matching element dragon's strength abilities, if any, , , and other strength-boosting abilities found on the adventurer and/or wyrmprints that are not considered buffs. Strength chain co-abilities provide buff strength, and do not occupy the same bracket as strength co-abilities.
Attack Modifier	If using a basic attack or dragon basic attack, this is equal to the attack modifier(s) at the given point of the combo string. If using a force strike, this is equal to the force strike's attack modifier(s). Refer to Combat Mechanics or the dragon's page for the relevant numbers. If using a damaging skill, then this is the skill's individual multiplier(s). Refer to specific skill pages for the numbers.
Crit Modifier	If a unit lands a critical hit, the damage will have a base of 1.70x modifier, plus the sum of all critical damage modifiers from all sources.
Skill Damage or Force Damage	Basic attacks, including those done with a dragon, do not receive boosts from skill or force damage, so this is equal to 100% (has no effect) for basic attacks. For damaging skills and damaging afflictions from skills, this is equal to the sum of your passive (from the adventurer's, wyrmprints', and/or dragon's abilities, plus the effects of being energized) skill damage boosts, multiplied by highest Skill Damage co-ability (if present), multiplied by any active Skill Damage buffs (such as Striker's Skill, Dragon's Skill, Skill Damage buff zones, among others). For force strikes and damaging afflictions from enhanced force strikes, this is equal to the sum of your passive (from the adventurer's, wyrmprints', and/or dragon's abilities) force damage boosts instead, multiplied by highest Force Strike co-ability (if present), multiplied by any active Force Damage buffs. Skill Damage Modifier = (1 + Sum of all Skill Damage abilities, including Energized) * (1 + Skill Damage Co-ability) * (1 + Sum of all Skill Damage buffs) Force Damage Modifier = (1 + Sum of all Force Damage abilities) * (1 + Force Strike Co-ability) * (1 + Sum of all Force Damage buffs) Skill Damage examples: 's at level 3, inflicts 2 hits of 492% skill damage. With MUB (30% Skill Damage) and 5% Skill Damage co-ability, the total skill damage boost is +36.5% (modifier of 136.5%), and increases the damage of Empyreal Levin to 2 hits of 671.58%. 's energized at level 3, inflicts 3 hits of 322% skill damage. Being energized provides a +50% modifier to Skill Damage, and with MUB (40% skill damage on wand wielders) and 15% skill damage co-ability, the total skill damage boost is +118.5% (modifier of 218.5%), and increases the damage of Empowering Triplet to 3 hits of 703.57%. 's at level 2, inflicts 4 hits of either 207% or 311%, depending on if Gala Mym has shapeshifted at least once beforehand. With MUB (30% Skill Damage) and MUB (24% buff Skill Damage) and 15% Skill Damage co-ability from a different adventurer, and is the equipped dragon, if Gala Mym has shapeshifted at least three times, the total skill damage boost is +213.72% (modifier of 313.72%), and increases the damage of Flames of Passion to 4 hits of 975.6692%.
Punisher Modifier	Add up all punisher and bane modifiers, except Broken Punisher. + , produces 33% total punisher on a thaumian enemy in overdrive state. + , produces 28% total punisher on a sleeping enemy in overdrive state. + , produces 16% total punisher on a bleeding enemy in overdrive state. + , produces 16% total punisher on an enemy in overdrive state. Add up all Broken Punisher modifers, and multiply it by the sum of all other punishers, as calculated above. + - using 0UB, produces a total of +45% Broken Punisher (145% of normal damage) on an enemy in break state. Then multiply them to get the total punisher modifier x ( + ) - using MUB and MUB, produces +147% total punisher (247% of normal damage) on a poisoned and blinded enemy in break state. x - using MUB, produces +75.5% total punisher (175.5% of normal damage) on a thaumian enemy in break state.
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 Dragon Damage modifier is 1.20x. Wind Dracolith at level 10 gives a total Dragon Damage modifier of 20% + 10% = 30%. Water Dracolith at level 15 and 0UB gives a total Dragon Damage modifier of 20% + 15% + 6% = 41%. Flame Dracolith at level 30, MUB, and from on with her "Dream Boost" effect active gives a total Dragon Damage modifier of 20% + 50% + 18% + 10% + 20%= 118%.
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 (changes from player debuffs are capped at -50%). 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 elemental advantage or disadvantage. See Elements for more information.

By default, the elemental bonuses are as follows:

Elemental Bonus	Value
Neutral	1
Advantage	1.5
Disadvantage	0.5

The Elemental Damage co-abilities (such as

) adds to the elemental bonus, up to +20%.
For example: if

is in the player's own team, her co-ability will cause the modifiers of all Light elemental damage to become the following:

Boosted Elemental Bonus	Value	Relative Boost
Neutral	1.2	+20.00%
Advantage	1.7	+13.33%
Disadvantage	0.7	+40.00%

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

Partial List of High HP Enemies with Unique Break Defense

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