**Attack speed** (**AS** or **ASPD**) is a stat that is the frequency of a unit's basic attacks. They are measured and displayed as attacks per second.

Each champion starts with a certain attack speed **ratio**, which is also the value given by default to their **base** attack speed (attack speed at level 1 without any other **bonuses**). Some champions can start with a base attack speed different from their attack speed **ratio**. Additional bonus **attack speed** can be obtained through level-up or with a variety of items, abilities and runes. Bonus **attack speed** stacks additively, and each bonus point acquired directly affects its statistic. **Bonus** attack speed is a percentage of the attack speed **ratio**, therefore, champions with higher ratio benefit more from bonus attack speed.

**Attack speed is capped at 2.5 attacks per second** *(or 1 attack every 0.4 seconds)*. It also cannot be reduced below a floor of 0.2 *(or 1 attack every 5 seconds)*. The values of these restrictions can be altered by certain effects.

* Gold Value*

## Calculations

### Bonus attack speed per level

Champions gain **bonus** attack speed % every time they level up, which ranges from roughly **0 - 6%** (the exact number depending on the specific champion) and can be calculated through the statistics growth formula.

Bonus AS% stacks additively.

*Example:*grants +25% attack speed and grants +50% attack speed, so the champion gains +75% in total.

**Notes:**

- Final attack speed cannot go above the cap of
**2.5 attacks per second**, unless it is ignored by some effects. - Many in-game tooltip percentages (such as runes) have been rounded, so results may be slightly different unless the precise numbers are known.

### Example

- base attack speed and attack speed ratio are both 0.651.
- Calculating "bonus attack speed":
- Every time statistics growth formula.
- At level 10 he has gained 3.22% × 9 × (0.7025 + 0.0175 × 9) = 24.9228% as bonus AS%.

levels up, he gains bonus AS% based on his percentage growth 3.22% and his level through the - Let's say he has maxed increasing his attack speed by 40%.
- He also has the rune to 3%.
- And he has : +35%.
- All together he has: 24.9228% + 40% + 3% + 35% = 102.9228% bonus AS%.

- Every time statistics growth formula.
- Final calculation:
**0.651 × (1 + 102.9228 ÷ 100)**

≈ 1.321027428

- In game, the number will be shown as: 1.321.

### How attack speed is calculated

In simple terms, bonus attack speed is a percentage that represents how much of a unit's attack speed ratio is added on top of the base attack speed. When calculating attack speed for a unit, we add its base attack speed with some scaled multiple of the attack speed ratio to calculate that unit's total attack speed. This is better illustrated below.

#### 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 total of attack speed (1.4 attacks per second). We get this value by taking the attack speed ratio of and adding 100% of that same value to the base attack speed of .

Calculation:

Suppose we had a unit with 50% bonus attack speed. The bonus attack speed multiplier would be . Therefore, the additional attack speed would be . When added onto the base attack speed of , we result in a total attack speed of .

With 200% bonus attack speed, we end up with total attack speed.

With 10%, we end up with .

#### Generalization

Let be a unit's base attack speed, let be a unit's attack speed ratio, let be a unit's bonus attack speed, and let be a unit's total attack speed. Then a unit's total attack speed can be calculated by the following equation:

Total Attack Speed: which simply adds a fraction of a unit's attack speed ratio to their base attack speed.

Generally speaking, most champions' base attack speed and attack speed ratio are the same, meaning can be replaced with . For these units, we result in the following equation:

Simplifying the equation by factoring out gives us this final equation:

## Exceeding or altering the attack speed cap

The following game elements will exceed or alter 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.

#### Champions

#### Runes

- - Increases the attack speed cap to 10.0.

### Fixed attack speed above the cap

#### Champions

- - This has a fixed attack speed of 3.0. It does not interact with bonuses nor the attack speed stat itself.

### Reducing the cap

#### Champions

- - Special attack cooldown and attack speed calculation - cannot reach 2.5 attack speed.
- - Always fixed to his base attack speed + innate attack speed growth, thus can never reach 2.5 attack speed.
- - Reduces the cap to 1.75 and increases the floor to 1.75 until the effect ends. Effects that remove the attack speed cap (see above) still allow exceeding the cap.
- - Reduces the 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)
- 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

- ( )
- ( )

## 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
*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. | 0.8 AS | 1. | 0.475 AS |

2. | 0.751 AS | 2. | 0.55 AS | |

3. 3. 3. |
0.736 AS | 3. | 0.579 AS | |

4. | 0.721 AS | 4. | 0.613 AS | |

5. | 0.72 AS | 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. |
0.625 AS | |

Level 18 | 1. | 1.263 AS | 1. | 0.678 AS |

2. | 1.225 AS | 2. | 0.692 AS | |

3. | 1.105 AS | 3. | 0.713 AS | |

4. | 1.105 AS | 4. 4. 4. 4. |
0.731 AS | |

5. | 1.096 AS | 5. | 0.737 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:** July 15, 2020 – V10.14

- Without using
**attack speed**, The most**attack speed**a champion can have is**10.4375**with a level 18 .
, which potentially allows for infinite amounts of **Base AS:**0.625 AS**Items:**- One
- One
- Four

**Runes:****Buffs:****AS Amplification:****Relevant mathematics:****total**AS:**Items**= + + = 353%**bonus**AS**Runes**= + + 10% = 138%**bonus**AS**Buffs**= + + + + + = 244%**bonus**AS

**total**AS = (0.625 × (1 + 3.53 + 1.38 + 2.44)) × = 10.4375**total**AS

**Last updated:** July 15, 2020 – V10.14

- The most attack speed a champion can reach at level 1 with the initial 500 is
**4.1125**with . **Base AS:**0.658 AS**Item:**- One

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

**Buffs:****Relevant mathematics:****total**AS:**Items**= = 12%**bonus**AS**Runes**= + + 10% = 123%**bonus**AS**Buffs**= + + + + = 390%**bonus**AS

**total**AS = (0.658 × (1 + 0.12 + 1.23 + 3.90)) = 4.1125**total**AS