**Attack speed**, or **AS**, is a stat that denotes the rate of a unit's basic attack, measured in attacks per second.

Every champion starts with a certain attack speed **ratio**, which for most champions is equal to their assigned **base** attack speed (attack speed at level 1 without any other **bonuses**), while some other champions can start with a modified base attack speed (different from their attack speed **ratio** — the modifier is handled as a bonus). **Total** attack speed refers to **base** plus **bonus** attack speed. **Bonus** attack speed is a percentage of the attack speed **ratio**, therefore champions with a *higher* ratio benefit *more* from bonus attack speed.

Attack speed is handled differently than other stats in terms of scaling. A champion's **base** attack speed is fixed at its unmodified level 1 value. Instead, every increase is considered a **bonus**, including the growth per level. Other than levels, bonus attack speed can also be gained from any source such as abilities, buffs, items, runes, and others.

- Bonus attack speed
**stacks additively**, and each percent point acquired directly adds to the statistic (1:1).

**Attack speed is capped at 2.5 attacks per second** *(1 attack every 0.4 seconds)*. It also cannot be reduced below a floor of 0.2 *(1 attack every 5 seconds)*. A select few effects can modify the attack speed cap.

* Gold Value*

## Calculations[]

### Bonus attack speed per level[]

Excluding the outlier of modified statistics growth formula, but the growth formula for attack speed is still the same (meaning, attack speed growth happens at the same rate as any other statistic's growth).

(who does not gain any attack speed per level due to her ), attack speed growth coefficients range from 0.5% to 6%, varying by champion. Total attack speed can be calculated through a slightly*Decimals are almost unavoidable with attack speed, so note that the tooltip values displayed in-game may be rounded and slightly different; in the HUD, the displayed attack speed itself rounds to 2 decimals, while the tooltip rounds values to a fairly good precision of 3 decimals.*

### Example[]

- base attack speed is 0.625 and his attack speed ratio is 0.651.
- Calculating "bonus attack speed":
- Every time statistics growth formula.
- At level 10 he has gained 2.5% × 9 × (0.7025 + 0.0175 × 9) = 19.35% as bonus AS%.

levels up, he gains bonus AS% based on his percentage growth 2.5% and his level through the - Suppose is at rank 5, increasing his attack speed by 50%.
- The rune is giving 3% attack speed.
- And he has : +30%.
- All together he has: 19.35% + 50% + 30% + 3% = 102.35% bonus AS%.

- Every time statistics growth formula.
- Final calculation:
**0.625 × (1 + 102.35 ÷ 100)**

≈ 1.2646875

- In game, the number will be shown as: 1.265.

### Short formula[]

*For practical purposes, a shorter formula from the generalized attack speed formula is used in order to calculate attack speed; the "bonus" factor is also always known from the in-game tooltips.*

Bonus attack speed is a percentage that represents how much of a unit's attack speed ratio is added on top of their base attack speed. In other words, some scaled multiple of the attack speed ratio is added to the base attack speed, to calculate the unit's total attack speed.

#### Simple example[]

Suppose that we have a unit with a base attack speed of and an attack speed ratio of .

If this unit has 100% bonus attack speed from some number of sources, then the bonus attack speed multiplier is , resulting in a value modified by the attack ratio of . Then we add this result to their base attack speed to get the total of attack speed (1.4 attacks per second). The full calculation is:

Suppose that same unit had 50% bonus attack speed instead. That means the bonus attack speed multiplier is , resulting in a value modified by the attack ratio of . Then we add this result to their base attack speed to get the total of attack speed (1.05 attacks per second).

At 200% bonus attack speed, that unit will have 2.1 total attack speed.

At 10% bonus attack speed, that unit will have 0.77 total attack speed.

#### Generalization[]

Let:

- be the unit's base attack speed
- be the unit's attack speed ratio
- be the sum of all attack speed bonuses on the unit
- be the unit's total attack speed

Then the total attack speed is calculated through the equation which is a linear equation of attack speed in terms of its bonuses.

Most champions' base attack speed and attack speed ratio are equal, meaning can be replaced with , resulting in the equation or simply

## Exceeding or altering the attack speed cap[]

The following game elements will modify the 2.5-attacks-per-second cap:

### Removing the cap[]

Effects that remove the attack speed cap allow characters to fire basic attacks at rates higher than 2.5, given high enough attack speed bonuses. The cap is technically increased to 90.0 for the duration, however limits to the game itself only allow for up to 30 attacks per second, or one per frame.

is the only champion in the game that can exceed the attack speed cap by default.#### Champions[]

- - Increases the attack speed cap to 9999.0
- - Increases the attack speed cap to 2.7632.

#### Runes[]

### Fixed attack speed above the cap[]

#### Champions[]

- - This has a fixed rate of 3.0 per second of automatically fired missiles that apply attack effects. It does not interact with bonuses nor the attack speed stat itself.

### Reducing the cap[]

#### Champions[]

- - Special attack cooldown and attack speed calculation; Graves cannot reach 2.5 attack speed.
- - Jhin's attack speed does not benefit from any bonuses other than its growth; Jhin cannot reach 2.5 attack speed.
*Other modifiers are still allowed to alter the cap.*
effectively reduces his attack speed cap to 1.75 and increases his attack speed floor to 1.75 until the ability ends. - reduces her attack speed cap to 1.5, attack speed from can exceed this cap.

## Attack speed as scaling[]

The major part of champion abilities that use attack speed will scale with **base** attack speed. But some abilities scale with the total or bonus attack speed the champion has.

Note that any (bonus) attack speed exceeding the **attack speed cap** will still improve these ability scalings, as they are not depending on the absolute attack speed stat.

### Champions[]

#### Bonus Attack Speed multipliers[]

#### Cast Times[]

- and
- and

#### Other effects that scale with attack speed[]

- (the movement speed) and (the shot damage)
- (the number of attacks), (the missile speed) and (sentry's attack speed)
- (the per-direction cooldown of the ability, the temporary bonus attack speed from is not counted) and (the number of slashes)
- item stats, mythic passives, and growth (per level) are counted) (the number of spins, only attack speed from
- (reload time decreases with attack speed)
- (gains bonus AD in addition to increased movement speed on-critical strike based on bonus attack speed)
- (the increased movement speed given is increased based upon bonus attack speed and the ability can be evolved based on bonus attack speed)
- (the physical damage of each dagger)
- (wolf's attack speed)
- (the percentage of the target's maximum health that Viego is healed by)
- (the cooldown of the ability)
- and (the cooldown of both abilites)
- (the cooldown of the ability and attack speed in excess of the cap is converted into bonus AD)

### Items[]

#### Cast Times[]

### Runes[]

## Increasing attack speed[]

### Items[]

This table is automatically generated based on the data from Module:ItemData/data.

#### Item passives[]

### Champion abilities[]

#### Ally and/or User-targeted[]

#### User only[]

- and
- and
- and
- and
*Element*
with an - and

### Enemy only[]

### Runes[]

### Neutral buffs[]

## Decreasing attack speed[]

- Main article: Types of Crowd Control#CrippleAttack speed reductions stack multiplicatively and take percentages off the final attack speed value after all bonus attack speed has been factored in. The duration of these reductions are affected by Tenacity. Their effectiveness is unaffected by slow resist.

### Champion abilities[]

### Items[]

## Champions with altered base attack speed at level 1[]

### List of champions' attack speed[]

- Main article: List of champions' attack speed

Champion Level | Top 5 champions | Bottom 5 champions | ||
---|---|---|---|---|

Level 1 | 1. | 0.85 AS | 1. | 0.475 AS |

2. | 0.8 AS | 2. | 0.61 AS | |

3. | 0.751 AS | 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. |
0.625 AS | |

4. 4. 4. |
0.736 AS | 4. | 0.635 AS | |

5. | 0.721 AS | 5. 5. 5. 5. 5. 5. 5. |
0.638 AS | |

Level 18 | 1. | 1.333 AS | 1. | 0.678 AS |

2. | 1.263 AS | 2. | 0.725 AS | |

3. | 1.225 AS | 3. 3. 3. |
0.731 AS | |

4. | 1.106 AS | 4. | 0.745 AS | |

5. | 1.105 AS | 5. | 0.755 AS |

## Notes[]

- All percentages listed in a champion's attack speed statistic are approximations.
- Many abilities can scale indirectly with attack speed (for example, through the flat cooldown reduction per attack with ).

## Trivia[]

**Last updated:** August 14th, 2024 – V14.16

- Without using any form of infinite stacking, the most
**attack speed**a champion can have is**16.2885**with a level 18 . **Base AS:**0.625 AS**Allies:****Enemy:****Items:**- (masterwork)
- (full stacks)

**Runes:**- (full stacks)
- Attack speed rune shard

**Buffs:****AS Amplification:****Relevant mathematics:****total**AS:**Items**= + + + + + = 345.33%**bonus**AS**Runes**= + + 10% = 108%**bonus**AS**Buffs**= + + + + + + + = 604.96%**bonus**AS

**total**AS = (0.625 × (1 + 3.4533 + 1.08 + 6.0496)) × = 16.2885**total**AS

**Last updated:** August 15th, 2024 – V14.16

- The most attack speed a champion can reach at level 1 with the initial 500 is
**4.7891**with . **Base AS:**0.625 AS**Item:**- One

**Runes:**- (no stacks)
- Attack speed rune shard

**Buffs:****AS Amplification:****Relevant mathematics:****total**AS:**Items**= = 10%**bonus**AS**Runes**= + + 10% = 93%**bonus**AS**Buffs**= + + + + = 137.56%**bonus**AS

**total**AS = (0.625 × (1 + 0.10 + 0.93 + 1.3756)) × = 4.789125**total**AS