Damage Formula/Examples and Guidelines

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Attack Types: Normal Attack | Critical Attack | Charge Attack
Other Damage Types: Plain Damage | Bonus Damage | Supplemental Damage
Damage Formula: Basic Concepts | Detailed Formula | Damage Cap | Examples and Guidelines


This page provides an illustration of the use of the Damage formula, along with some recommandations for the choice of Main and Support summons.

Since 2019 the Party screen can estimate a Support summon's Aura as well as account for which turn it is, how much HP you currently have left, and passive effects from other characters. This is often faster to do than to calculate these values yourself and is recommended in most cases.

In the Party screen, Estimated DMG is how much damage your Main Character would cause to a foe accounting for standard Defense values, which can vary depending on the content you're doing. The value to the right, under WEAK POINT! is the damage against foes of an Element you have advantage against.

Estimates do not account for Double Attacks, Triple Attacks or Critical Hits.

Example of damage calculation[edit]

Let's make up a weapon grid: For the sake of variety, we will use 1 Blushing Blossom Pin (Big Normal), 3 Colossus Cane Omegas (Big Omega), 3 Colossus Breakers (Medium Omega), 1 Balanced Blade (Big EX), and 2 Ifrit Blades (Medium Normal). We'll assume everything is at Skill Level 5.

The ATK up modifier table shows that our weapons have the following modifiers:

We'll add these values together within their categories. In this example: Normal mods = +24%, Omega mods = +51%, EX mods = +10%.

Now, to estimate the Base Damage of this setup, we need to define which are the Main and Support summons. Earlier game grids benefit the most from two high intensity Elemental summons. Later in the game grids tend to switch to a combination of Omega and Elemental summon. We'll consider both options for our example.

Assuming that:

  • Our character's total ATK stat is 5000.
  • We have a 0★ Shiva available in the pool of support summons. (+120% Fire ATK.)
  • Our two options for main summon are an Ifrit 3★ (+60% Elemental (Fire)) or a Colossus Omega 3★ (Omega Fire Weapon Skills × 200%).
  • We are fighting a Wind foe, so we have a +50% Elemental ATK bonus from elemental superiority.
  • We have no buffs in effect.
While using Ifrit + Shiva:
Normal Boost is 100%Static Value + 24%Weapon Skills = 124%.
Omega Boost is 100%Static Value + 51%Weapon Skills = 151%.
EX Boost is 100%Static Value + 10%Weapon Skills = 110%.
Elemental Boost is 100%Static Value + 50%On-element advantage + 120%Shiva's Aura + 60%Ifrit's Aura = 330%.
Base Damage is 5000ATK × 124%Total Normal Boost × 151%Total Omega Boost × 110%Total EX Boost × 330%Total Elemental Boost = 33984.06
While using Colossus + Shiva:
Normal Boost is 100%Static Value + 24%Weapon Skills = 124%.
Omega Boost is 100%Static Value + (51%Weapon Skills × 200%Colossus' Aura) = 202%.
EX Boost is 100%Static Value + 10%Weapon Skills = 110%.
Elemental Boost is 100%Static Value + 50%On-element advantage + 120%Shiva's Aura = 270%.
Base Damage is 5000ATK × 124%Total Normal Boost × 202%Total Omega Boost × 110%Total EX Boost × 270%Total Elemental Boost = 37196.28

Comparing 33984 ATK to 37196 ATK, using Colossus Omega would be much more effective!

We can estimate what damage we can cause per hit, against a standard enemy whose innate Defense is assumed to be 10). To debuff the enemy we'll use Template:ClassSkill=Miserable Mist and Template:ClassSkill=Defense Breach, which stack with each other, providing a total of 45% Defense reduction.

The foe's Defense is lowered to 10 × (1 - 45%) = 5.5, therefore our damage per hit should be

37196 / 5.5 = 6762 DMG!

That's it! If you want to go further, you can factor the critical hits, the different buffs you will be using, the debuffs on your target, and other effects that might be present. Refer to the detailed damage formula article for details.

The popular question: When/why should I switch from two Elemental summons to Omega + Elemental?[edit]

While early on it is advantageous to use the static values of the Elemental summons, there comes a time where you will benefit more from combining a 3★/4★ Omega summon with an Elemental summon. What defines this is the total Omega Weapon Skill you have in your grid and which Elemental summons you have available. To determine when's the time to change strategy, calculate your total Omega Weapon Skills' modifier, ignoring the summon's Aura, then define which Elemental Support summon you know you are likely to find, and what is its Aura's intensity. 120% and 140% are common numbers for Fire (Shiva (Summon) 3★), Water (Europa (Summon)) 3★, Earth (Godsworn Alexiel 3★), and Wind (Grimnir (Summon) 3★). 150% is common in Light (Lucifer 5★)and Dark (Bahamut 5★). Then find in the table below the cell that intersects your Main and Support summons' intensities.

If your Omega Weapon Skills' value is higher than the value in that cell, you should switch to a 3★ Omega summon.

3★ Omega with element advantage
Main Elemental
Summon
Support Elemental Summon
100%Primarch Series, Sylph, Flutterspirit of Purity and similar. 120%Primarch Series 3★, Genesis Series . 130%Conditional summons such as Bonito 4★, Tezcatlipoca 4★ and similar. 140%Shiva (Summon) 3★, Europa (Summon) 3★, Godsworn Alexiel 3★, Grimnir (Summon) 3★. 150%Lucifer 5★, Bahamut 5★.
40%Dark Flame Scion 3★. 19% 17% 17% 16% 15%
50% 25% 23% 22% 21% 20%
60%Normal Showdown such as Ifrit 4★. 32% 29% 27% 26% 25%
70%Sandalphon (Summon) 3★, The Eternal Defenders 3★, Anat 3★. 39% 35% 33% 31% 30%
80% 47% 42% 40% 38% 36%
90% 56% 50% 47% 45% 43%
100% 67% 59% 56% 53% 50%
110% 78% 68% 65% 61% 60%
120%Shiva (Summon), Europa (Summon), Godsworn Alexiel, Grimnir (Summon). 92% 80% 75% 71% 66%
130% 108% 93% 87% 81% 76%
140%Shiva (Summon) 3★, Europa (Summon) 3★, Godsworn Alexiel 3★, Grimnir (Summon) 3★. 127% 108% 100% 93% 87%
150%Lucifer 5★, Bahamut 5★. 150% 125% 115% 107% 100%
3★ Omega without element advantage
Main Elemental
Summon
Support Elemental Summon
100%Primarch Series, Sylph, Flutterspirit of Purity and similar. 120%Primarch Series 3★, Genesis Series . 130%Conditional summons such as Bonito 4★, Tezcatlipoca 4★ and similar. 140%Shiva (Summon) 3★, Europa (Summon) 3★, Godsworn Alexiel 3★, Grimnir (Summon) 3★. 150%Lucifer 5★, Bahamut 5★.
40%Dark Flame Scion 3★. 25% 22% 21% 20% 19%
50% 33% 29% 28% 26% 25%
60%Normal Showdown such as Ifrit 4★. 43% 38% 35% 33% 31%
70%Sandalphon (Summon) 3★, The Eternal Defenders 3★, Anat 3★. 54% 46% 44% 41% 39%
80% 67% 57% 53% 50% 47%
90% 81% 69% 64% 60% 56%
100% 100% 83% 77% 71% 67%
110% 122% 100% 91% 84% 78%
120%Shiva (Summon), Europa (Summon), Godsworn Alexiel, Grimnir (Summon). 150% 120% 109% 100% 92%
130% 186% 144% 130% 118% 108%
140%Shiva (Summon) 3★, Europa (Summon) 3★, Godsworn Alexiel 3★, Grimnir (Summon) 3★. 233% 175% 156% 140% 127%
150%Lucifer 5★, Bahamut 5★. 300% 214% 187% 166% 150%

Notes:

  • This is a simple approach to the problem. In practice, any skill that provides an Elemental ATK up effect will factor into this break point, effectively going in the direction of using the 3★ Omega summon earlier.
  • There also exist summons with Auras that add or multiply to the Normal Boost as well. These are beyond the scope of this page and require different weapon setups.

If you want to account for buffs, consider that the Elemental ATK skill effect can be added directly to your summon's total. A 100% Dark summon plus Status DarkAtkUp.png20% Dark ATK UpDark ATK is boosted
Strength: 20%
is 100% + 20% = 120% Dark ATK Up.

You can also find the break point either by solving the equation: (100% + OmegaBoost%) × (100% + MyElem% + SupElem% + CharElem%) / (100% + X × OmegaSummon%) × (100% + SupElem% + CharElem%), where:

  • OmegaBoost% is the total of Omega Weapon Skills before taking an Omega summon into account.
  • OmegaSummon% is 150% for up to 2★, 200% for 3★, and 220% for 4★ Omega summons.
  • MyElem% is the Aura of your Elemental summon.
  • SupElem% is the Aura of your support Elemental summon.
  • CharElem% is the total Elemental ATK Up bonus provided by the character skills and the element superiority of 50% when applicable.
  • If the result is higher than 1, you benefit more from your current combination of Elemental summons.
  • If the result is equal or lower to 1, you would benefit from the Omega summon instead.