This article explains the mechanics of **damage** calculation in *Arknights*.

All damage are calculated to the exact value, accounting the decimals, but if the damage is to be shown in-game (see Trivia) or in the menu, the value is rounded up (e.g. 99.9 is shown as 100).

By default, the damage dealt by attacks or use of skills that scales with ATK are calculated by the following formula:

Where:

- a represents the final damage.
- b represents the original ATK.
- x1 represents the sum of all base ATK buffs.
- x2 represents the value of ATK Inspiration.
- y represents the final ATK multiplier.

For example, the damage dealt by SilverAsh with Power Strike γ who are being buffed by Castle-3's Tactical Configuration, Warfarin's Unstable Plasma, and Sora's Hymn of Battle would be calculated by the following method with the following assumptions:

- SilverAsh is at Elite 2 Level 45 and 100% Trust (with an ATK of 694), and his Power Strike γ is at Level 7 (thus multiplying his ATK by 225%).
- Since SilverAsh is at Elite 2, his first talent Leader buffs his ATK by 10%.
- Castle-3 is at Potential 6 (with Tactical Configuration 6 that buffs ATK by 20%).
- Warfarin's Unstable Plasma is at Level 7 (which buffs ATK by 60%).
- Sora is at Elite 2 Level 40 and 100% Trust (with an ATK of 356), and her Hymn of Battle is at Mastery 3 (thus it adds 100% of Sora's ATK).
- To simplify the calculations, all percentages are converted into decimals.

As the result, under the above assumptions, SilverAsh's Power Strike γ will deal a whopping 3767.85 damage.

However, the exact damage dealt are determined by their type (Physical, Arts, and Pure) and interaction with the target's defenses (DEF and RES).

As a general rule, enemies with high DEF usually have low RES and vice-versa, but certain elite enemies and most bosses have identical levels of DEF and RES. Against such enemies, the following should be used:

- Sources of Pure damage and ways to ignore DEF/RES.
- Extremely high Arts damage (at least 1000 in a single hit). For instance, when an Operator with 500 ATK hits enemies with an A rating on their DEF and RES (~800 and ~50, respectively), the enemy will take only ~25 physical damage but takes ~250 Arts damage (10 times the physical damage they would have taken).
- Conversely, if the Operator deals high enough physical damage, for example 1200, the enemy would take 400 physical damage. However, such Operators are few and far in between, leaving Arts damage the most accessible option.

- DEF and/or RES debuffs.
- Damage amplifications.

## Trivia

- The amount of damage that can be shown in-game (as floating red numbers, usually if the enemy is hit by "critical strike" skills) are capped to 10 digits, although this normally cannot be achieved. In addition, if multiple instances of damage are to be shown in a quick succession, the new one will replace the old one.