Here you will find damage calculation formula for FGO. Information on buff effects and special attacks is included.
Damage calculation basics
Various statuses affect damage
There are various factors that may influence damage in FGO besides servant affinity, such as Card Combination, Servant Attributes which are hidden in the game. Not to mention the impact of Craft Essences and Skill effects.
Remembering this will help a lot
Knowing how to count an amount of damage correctly, you will start using servants' skills more efficiently. It will also help you do quests more easily. So, let's figure it out once and forever.
Servant affinity/damage modifier
2 times more damage if effective, 0.5 if ineffective
Servants in FGO have a certain class (Saber, Archer and etc.) which determines affinity within relation to each other. In general, if a Servant is effective against a certain class he will do x2 damage to it and 0.5 times if not effective. Same implies to received damage.
There are some exceptions
As an exception, Berserker deals 1.5 damage to any class, except Shielder, but also takes double damage. Another exception is Alter Ego. This class deals 1.5 damage to Rider, Caster and Assassin and 0.5 to Saber, Archer, Lancer.
|If you can remind the class affinity of characters in Fate Stay Night, it should be easy for you to remember all this information. If not, you can always check it in the menu during a battle.|
Class Damage Correction
There is an ATK modifier which varies by a servant's class.
This information is hidden in the game. However, there is a damage modifier which varies by a servant's class. For that reason, the ATK information that written in the game might be slightly different from the actual amount of damage.
Class ATK Correction
Hidden Servant Status
「Attr」in FGO is Servant Attribute information which is hidden from the game. The Attr relation reminds a triangle, as a servant does 1.1 to an enemy he/she is strong against, and 0.9 to those the servant is weak to.
[Star] and [Beast] are exceptions
[Star] and [Beast] are not included into that Attr triangle. They both deal 1.1 times damage to each other and there are no Attrs they are weak to.
|[Heaven]||・strong against [Earth], weak to [Mankind]|
・A lot of them transformed from Divine Spirit to Heroic Spirit
・Ex.: Ozymandias, Gilgamesh
|[Earth]||・strong against [Mankind], weak to [Heaven]|
・A lot of them come from mythology or folklore
・Ex.: Artoria (lancer), Mordred
|[Mankind]||・strong against [Heaven], weak to [Earth]|
・A lot of them appear in history
・Ex.: Souji Okita, Oda Nobunaga
|[Star]||・strong against [Beast], no weaknesses|
・Only few servants have this attribute
・A lot of them brought meaningful achievements for Humanity.
・Ex.: Jeanne D'arc, Nikola Tesla
|[Beast]||・stong against [Star], no weaknesses|
・Characters from CCC collab
|Attr is the reason that on some Quests the same servant may cause less damage comparing with other Quests. |
Although there is not way to check it in the game, but you can somewhat come up with a logical option checking the information before a Quest.
Skill Effect Damage
There are roughly 4 groups of skills
Skills of the same image groups are summed, others are multiplied.
Servan Skills and Stats enhanced by CE are Roughly divided into 4「image」groups. If they are belongs to the same group ATK buff is going to be summed, otherwise calculated by multiplying.
Increase you damage by different Skill Buffs
Combine skills which background image is different, thus the damage will be multiplied instead of being summed. Skill mix can help you significantly raise your damage.
|As some enemies have Resistance, things are a bit more complicated in reality. But think about the overall. |
This way you should already be able to form a Party and choose right CEs to do a huge damage.
Images labeled「ATK UP」
Whenever you see「ATK UP」that means a Skill or a CE increase your attack.
Same goes for「DEF UP」
「DEF UP」label works the same way. For instance,「Enemy DEF 20% DOWN」means「Ally ATK 20% UP」in other words.
|・「ATK UP」Skills and CE|
・DEF also works the same way
Images labeled「Card effectiveness UP」
Whenever you see「Card effectiveness UP」it means that a skill or a CE is going to strengthen the effect of cards of the same type (Buster, Quick and etc.).
Servant Class Card Effect
The effects such as「Madness Enhancement」「Territory Creation」「Riding Skill」which are determined by a Servant Class are also calculated here, in this group.
「Card effectiveness」Group Summary
|・The effect depends on a card type.|
・The effect does not stuck if cards are of different type.
3.Labels other than ATK/Card effectiveness
Increase 「Critical Strength」,「NP Strength」
Mainly they increase Critical damage or damage caused by the NP.
「Special Attack」to specific enemies is also included into this group.
Skills and Craft Essences labeled「Special Attack to ~」plus 「attack bonus」effect that can be used during Time-Limited Events are all calculated here. However, NP Special Attack refers to the next group!
Summary of the group
・Skill/CE「Special Attack to ~」
・「Special Attack」during a Time-Limited Event
4.Noble Phantasm「Special Attack」
NP Special Attacks only
Special Attacks caused by the NP are different from Skill or CE Special Attacks. There are almost no other effects that are calculated in this category.
Summary of the group
|・[Special Attack] NP|
Buff Effect Images
※To simplify things some numbers presented here might not be exactly as in the game, so that you could get the main idea from the images.
Ex. 1:ATK Buff used two times
When 2 ATK Buff skills are used before the NP, their effect will be summed as they belong to the same image group. So, it is going to be 1+0.2+0.2=1.4.
Ex. 2:ATK and NP buffs are used
When ATK buff and NP buff are used, their effect will be multiplied because they are in different image groups. In this case the formula is going to be 1.2*1.2=1.44.
To sum up
In order to deal a bunch of damage you should combine various effects which come from different image groups. Especially if we are talking about the effects of Skills and Craft Essences.
Receive less damage from enemies
Reduce received damage by Effect
DEF UP Skills reduce received damage by %. For example, if you have used 20% DEF UP buff you take 20% less damage.
Same group as「ATK UP」
As it belongs to the same group as「ATK UP・DOWN」the damage calculation happens the same way. If an enemy with 30％ ATK UP attacks you while you have 20% DEF UP, the amount of damage you take equals 110%, because 30%-20% = 10%.
It is possible to reduce ATK to 0
Stack multiple DEF UP and ATK DOWN effects and reduce enemy attack by 100％. It will especially help you on high difficulty Quests.
|It's one of the major reasons why「Mash」and「Iron-Willed Training」or「Holy Shroud of Magdalene」Craft Essences can be so useful. By combining these effects enemy attacks will be close to 0.|
Buff Effect Images
When Skill and CE effects are combined
If both CE and Skill have 「20% DEF UP」Buff, the effect is going to be multiplied and as a result you will get a 40% damage reduction.Tap to FGO Beginner Guide!
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