# 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).
• A minimum damage of 1 is enforced on all successful hits (i.e. a final calculation of 0.76 will deal 1 damage).
• Most damage-over-time effects such as damaging afflictions and cannot deal lethal damage.
• Against a target with less HP than the resulting damage, they will reduce the target's HP to 1.
• Against a target with 1 HP remaining, they will deal 0 damage.
• does not adhere to the above rules, and may deal lethal damage.

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

${\displaystyle {\frac {5}{3}}*{\frac {(100-{\color {NavyBlue}Damage\ Resistance})\%*{\color {BrickRed}Attacker's\ Strength}*{\color {BrickRed}Attack\ Modifier\ \%}*{\color {BurntOrange}Crit\ Modifier}*{\color {BurntOrange}Ability\ Modifier\ \%}*{\color {BurntOrange}Punisher\ Modifier\ \%}*{\color {ForestGreen}Elemental\ Modifier}*{\color {Purple}Dragon\ Damage}*Damage\ Spread}{{\color {NavyBlue}Defender's\ Defense}*{\color {NavyBlue}Defender's\ Defense\ Change}}}}$

For damage to overdrive gauges (not to be confused with Overdrive Punisher, which applies on standard damage), the result from the above formula is taken, then additional calculations are performed:

${\displaystyle {Calculated\ Damage}*{Overdrive\ Bonus\ Damage}*{Gauge\ Ability\ Modifier}*{Overdrive\ Damage\ Spread}}$

${\displaystyle {\color {NavyBlue}Calculated\ Damage}*{\color {BurntOrange}Overdrive\ Bonus\ Damage}*{\color {BurntOrange}Gauge\ Ability\ Modifier}*{Overdrive\ Damage\ Spread}}$

### Variables

Variable Description
Damage Resistance To obtain the final multiplier, the value of 1 is subtracted by the sum of resistances. To get the sum of resistances, sum all resistances of the same type together and then multiply them by the other types.
• The sum of resistances can be negative; in this case, damage will be increased.

Positive resistance examples:

• MUB with and MUB with gives a total resistance multiplier of 1-(75% x 90%) = -32.5% against High Midgardsormr (Enemy), reducing damage received by 32.5%.
• MUB with and MUB with gives a total resistance multiplier of 1-(80% x 90%) = -28% against Brunhilda (Enemy), reducing damage received by 28%.
• MUB with , MUB with on , with , , and as co-ability backlines, gives a total resistance multiplier of 1-(75% x 52%) = -61% against High Zodiark (Enemy), reducing damage received by 61% while Mordecai is at 80% or more HP, ignoring boosts in defense from Julietta's co-ability.

Negative resistance example:

• An enemy struck by 's level 2 will have a total resistance multiplier of 1-(-10%) = +10% against wind-elemental attacks from any source, increasing damage received by 10%.

In addition, there are additional damage resistance types that apply equally to all damage, irrespective of their element or source:

• Computer-controlled adventurers take 30% less damage from all sources.
• However, the controlled unit in auto-play mode will still take full damage.
• Adventurers with hybrid transformation take 50% less damage from all sources, while in their shapeshifted form.
• Adventurers that can summon a partner take 40% less damage from all sources, while their partner is summoned.
• takes 10% to 20% less damage from all sources, while his Draconian Grace buff is active.
• takes 1% to 20% less damage from all sources, depending on the amount of Royal Pride buffs active, and whether her personal Damage Reduction buff zone is active.
• The buff zone's damage reduction effect can stack with other identical buff zones' damage reduction effect, and other adventurers can also take advantage of them.
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.
• In the Enter the Kaleidoscape game mode, the instanteneous Strength value can be seen from the pause menu.
• 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, Full HP = Strength, HP 70 = Strength, and other strength-boosting abilities found on the adventurer and/or wyrmprints that are not considered buffs.
• In case of , HP-boosting abilities from dragons and are also added as if they were additional Strength abilities. This is done on a 1:1 ratio if Gala Zena is at full HP, with it scaling downwards as she loses HP relative to her max HP.
• This scaling is based on Gala Zena's current max HP, so buffs will not increase effective Strength.
• Strength chain co-abilities provide buff strength, and do not occupy the same bracket as strength co-abilities.
Attack Modifier If using a standard attack or dragon standard 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.
Ability Modifier Standard 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 standard attacks, but may be multiplied by the highest Standard Attack Damage co-ability (if present).
• Standard Attack Damage Modifier = (1 + Standard Attack Damage Co-ability)

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).

• In the Enter the Kaleidoscape game mode, all skill damage is reduced to 40% of their original value in non-boss floors.
• Shared Skills have their non-damage-over-time skill damage reduced to 70% of their original value.
• These penalties stack with each other.
• Skill Damage Modifier = (1 + Sum of all Skill Damage abilities, including Energized) * (1 + Skill Damage Co-ability) * (1 + Sum of all Skill Damage buffs)

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.

• 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 885.6% skill damage. With MUB (30% skill damage) and her base 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 1208.844%.
• 's energized at level 4, inflicts 3 hits of 622% skill damage. Being energized provides a +50% modifier to Skill Damage, and with MUB (40% skill damage on wand wielders) and her fully-upgraded 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 1359.07%.
• 's at level 2, inflicts 4 hits of either 517.5% or 622%, depending on if Gala Mym has shapeshifted at least once beforehand. With MUB (40% skill damage on lance wielders), MUB (24% buff skill damage), a co-ability from a different adventurer, 5 stacks of from hitting 100-hit combo with as a backline adventurer, and is the equipped dragon, if Gala Mym has shapeshifted at least three times, the total skill damage boost is +299.28% (modifier of 399.28%), and increases the damage of Flames of Passion to 4 hits of 2483.5216%.
• 's at level 2, inflicts 4 hits of 632% damage. With MUB (40% skill damage on lance wielders), MUB (20% buff skill damage due to capping), a co-ability from a different adventurer, 5 stacks of from 's skill on a different adventurer, and is the equipped dragon, if Forte has shapeshifted at least three times, the total skill damage boost is +555.5% (modifier of 655.5%), and increases the damage of Flawless Formation to 4 hits of 4142.76%.

Force Damage examples:

• 's level 2 force strike deals 1 hit of 115% damage. With MUB (40% force damage) and a co-ability from , the total force damage boost is +56.8% (modifier of 156.8%), and increases the damage of his force strike to 1 hit of 180.32%.
• 's level 2 enhanced force strike deals 3 hits of 57%, another 3 hits of 11%, and inflict poison that deals 300% damage every 2.9 seconds for 27 seconds, totaling 2904% damage overall. With MUB (50% force damage) and a co-ability from , the total force damage boost is +80.0% (modifier of 180.0%), and increases the damage of his force strike to 3 hits of 102.6%, another 3 hits of 19.8% and finally 540% poison damage every 2.9 seconds for 27 seconds, totaling 5227.2%.
• 's level 2 unique force strike deals up to 20 hits, totalling 1617.77352%. With (30% force damage), (25% force damage), MUB (50% force damage) as well as three additional Lance's Boon affinity wyrmprints (15% force damage), and a co-ability from , if Hunter Sarisse had just used level 3 (100% buff force damage on next force strike), the total force damage boost is +428% (modifier of 528%), and increases the maximum damage of her next force strike to 8541.8441856%.
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 +50% Broken Punisher (150% of normal damage) on an enemy in break state.

Then multiply them to get the total punisher modifier

• x ( + ) - using MUB and MUB, produces +153.5% total punisher (253.5% 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.
• at level 10 gives a total Dragon Damage modifier of 20% + 10% = 30%.
• at level 15 and 0UB gives a total Dragon Damage modifier of 20% + 15% + 6% = 41%.
• at level 30, MUB as well as three additional Dragon's Boon affinity wyrmprints, and from on with her "Dream Boost" effect active gives a total Dragon Damage modifier of 20% + 50% + 18% + 30% + 10% + 20% = +148%, or 248% of normal dragon damage.

also receives Dragon Damage boosts to his and skills for portions of the skill done in shapeshifted form. This boost only excludes bonuses from Dracoliths.

• 0UB and gives a total Dragon Damage modifier of 20% + 6% + 6% = +32%, or 132% of normal skill damage for portions of the skill done in shapeshifted form.
• MUB as well as three additional Dragon's Boon affinity wyrmprints, , from gives a total Dragon Damage modifier of 20% + 18% + 30% + 12% + 10% = +90%, or 190% of normal skill damage for portions of the skill done in shapeshifted form.
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/manacasters) 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.
Overdrive Bonus Damage

Damage against bosses in overdrive state also causes damage to the Overdrive gauge in addition to HP.

• The base overdrive damage is numerically identical to the damage dealt at the end of the standard formula (after Defense Change is calculated).

Most forms of damage do not produce extra damage to the Overdrive gauge, so this is equal to 100% (has no effect). However, there are exceptions:

• Damage-over-time effects such as damaging afflictions and , as well as damage generated from overdamage, do not deal overdrive damage, so this is equal to 0% for these cases.
• Most (but not all) force strikes have a bonus multiplier in damage dealt to the overdrive gauge. In these cases, the base Overdrive damage is further multiplied by this effect.
• It is possible for this multiplier to be below 100%; in this case, the effective damage is reduced.
• Against The Agito Uprising bosses, force strikes receive an additional multiplier on top of the existing bonus multiplier. The values are as follows:
• 10x in solo mode
• 5x in co-op mode
Gauge Ability Modifier The base overdrive damage is then multiplied further by Gauge Accelerator, Gauge Decelerator, or Inhibitor bonuses or penalties.

Against bosses in Overdrive, the base Gauge Accelerator bonus is 100% (no change.)

• Sum all Gauge Accelerator bonuses, and subtract all Gauge Decelerator penalties, to get the final multiplier.
• This multiplier can be below 100%; in this case, there will be reduction in damage to the Overdrive gauge.

Against bosses in neither Overdrive nor Break, the base overdrive gauge build-up is 100% (no change.)

• Subtract all Gauge Inhibitor bonuses to get the final multiplier.
• This will reduce the build-up towards Overdrive gauge.
Overdrive Damage Spread This is the inherent RNG variance of the damage formula on damage to Overdrive gauges. This ranges from 80% to 120% (higher than standard variance), but for simple calculations, assuming 100% is sufficient.
• Note that this is applied on top of standard variance, as the Overdrive damage calculation is done on final damage.

## Elemental Modifier

By default, the elemental bonuses are as follows:

Elemental Bonus Value
Neutral 1

Various effects, such as Elemental Damage co-abilities (such as ), or effects obtained from certain dragons or adventurer buff effects, add to the elemental bonus.

• 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%

subtracts from the elemental bonus value of the foe, if the foe at a disadvantage or has no element. It does not apply if the foe is at an advantage, or if the foe is at a neutral standing while having an element.

• For example: If 's is used against a foe, this will cause the foe's elemental damage to become the following:
Foe's Reduced Elemental Bonus Value Relative Reduction
Neutral (Foe is non-elemental) 0.95 -5.00%
Neutral (Foe is elemental) 1.0 N/A (Adaptive Suppression does not apply)

## 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

Name Element Class HP Str Def OD Str Rate OD Def Rate Break Str Rate Break Def Rate Quest
Jinlorda Dragon 999,999,999 1,000 10 1.2 1.0 0.7 0.8
Jinlorda Dragon 999,999,999 1,000 10 1.2 1.0 0.7 0.8
Jinlorda Dragon 999,999,999 1,000 10 1.2 1.0 0.7 0.8
Satan Demon 708,000,000 2,000 10 1.2 1.0 0.7 0.8 Satan Clash: Nightmare
Asura Demon 387,962,500 1,000 10 1.2 1.0 0.7 0.8 Asura Clash: Omega Level 3 (Raid)
Asura Demon 222,172,500 1,000 10 1.2 1.0 0.7 0.8 Asura Clash: Omega Level 2 (Raid)
Kanaloa Demihuman 201,825,823 8,373 10 1.2 1.0 0.7 0.8 Kanaloa Clash: Omega Level 3 (Raid)
Ebisu Therion 193,537,315 5,000 10 1.2 1.0 0.7 0.8 Ebisu Showdown: Omega Level 3 (Raid)
Asura Demon 162,151,357 1,000 10 1.2 1.0 0.7 0.8 Asura's Trial (Light): Master (Co-op)
Asura Demon 162,151,357 1,000 10 1.2 1.0 0.7 0.8 Asura's Trial (Wind): Master (Co-op)
Aspidochelone Thaumian 152,023,846 19,773 10 1.2 1.0 0.7 0.8 Aspidochelone Clash: Omega Level 3 (Raid)
Morsayati Demon 143,840,444 3,410 10 1.2 1.0 0.7 0.75 Morsayati Clash: Omega Level 3 (Raid)
Elysium Dragon 143,640,000 1,000 10 1.2 1.0 0.7 0.8 Elysium Clash: Omega Level 3 (Raid)
Mega Monarch Emile Demon 136,800,000 1,000 10 1.0 1.0 0.7 0.8 Monarch Emile Clash: Omega Level 3 (Raid)
Chronos Dragon 127,999,393 6,820 10 1.2 1.0 0.7 0.8 Chronos Clash: Omega Level 2 (Raid)
Tsukuyomi Dragon 123,640,000 1,000 10 1.2 1.0 0.7 0.75 Tsukuyomi Clash: Omega Level 3 (Raid)
Chronos Nyx Dragon 122,094,000 1,000 10 1.2 1.0 0.7 0.8 Chronos Nyx Clash: Omega Level 3 (Raid)
Demon 116,388,750 1,000 10 1.2 1.0 0.7 0.8 Asura Clash: Omega Level 3 (Raid)
Aether Dragon 113,258,037 6,820 10 1.2 1.0 0.7 0.8 Aether Clash: Omega Level 3 (Raid)
Ebisu Therion 101,492,140 3,800 10 1.2 1.0 0.7 0.8 Ebisu Showdown: Omega Level 2 (Raid)