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Attack speed icon 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 Additive stacking icon 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 (most notably Lethal Tempo Lethal Tempo).

Gold Value ​​​​​​

  • Bonus attack speed has a gold value of 25 Gold 25 per percent point.

Calculations[]

Bonus attack speed per level[]

Excluding the outlier of Bel'Veth Bel'Veth (who does not gain any attack speed per level due to her innate innate), attack speed growth coefficients range from 0.5% to 6%, varying by champion. Total attack speed can be calculated through a slightly 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).

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[]

  • Twisted Fate's Twisted Fate's base attack speed and attack speed ratio are both 0.625.
  • Calculating "bonus attack speed":
    • Every time Twisted Fate Twisted Fate levels up, he gains bonus AS% based on his percentage growth 2.5% and his level through the statistics growth formula.
      • At level 10 he has gained 2.5% × 9 × (0.7025 + 0.0175 × 9) = 19.35% as bonus AS%.
    • Suppose Stacked Deck Stacked Deck is at rank 5, increasing his attack speed by 40%.
    • The Legend: Alacrity Legend: Alacrity rune is giving 3% attack speed.
    • And he has Berserker's Greaves Berserker's Greaves: +35%.
    • All together he has: 19.35% + 40% + 35% + 3% = 97.35% bonus AS%.
  • Final calculation:
    0.625 × (1 + 97.35 ÷ 100)
    ≈ 1.2334375
    • In game, the number will be shown as: 1.233.


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. Bel'Veth Bel'Veth is the only champion in the game that can exceed the attack speed cap by default.

Champions[]

Runes[]

Fixed attack speed above the cap[]

Champions[]

  • Urgot's Urgot's Purge Purge - 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[]

  • New Destiny New Destiny - Special attack cooldown and attack speed calculation; Graves cannot reach 2.5 attack speed.
  • Whisper Whisper - Jhin's attack speed does not benefit from any bonuses other than its growth; Jhin cannot reach 2.5 attack speed.
  • Sion's Sion's Glory in Death Glory in Death effectively reduces his attack speed cap to 1.75 and increases his attack speed floor to 1.75 until the ability ends. Other modifiers are still allowed to alter the cap.
  • Zeri's Zeri's Burst Fire Burst Fire reduces her attack speed cap to 1.5, attack speed from Lightning Crash Lightning Crash 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[]

Other effects that scale with attack speed[]

Items[]

Cast Times[]

Increasing attack speed[]

Items[]

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

ItemCostAmountAvailability
Berserker's Greaves Berserker's Greaves1100 1100 Gold35%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Blade of the Ruined King Blade of the Ruined King3200 3200 Gold25%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Dagger Dagger300 300 Gold12%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Dreamshatter Dreamshatter3300 3300 Gold40%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Experimental Hexplate Experimental Hexplate3000 3000 Gold25%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Eye of the Storm Eye of the Storm3100 3100 Gold25%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Guinsoo's Rageblade Guinsoo's Rageblade3000 3000 Gold25%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Hearthbound Axe Hearthbound Axe1200 1200 Gold25%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Infinity Force Infinity Force3333 3333 Gold43%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Kraken Slayer Kraken Slayer3000 3000 Gold35%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Nashor's Tooth Nashor's Tooth3000 3000 Gold50%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Noonquiver Noonquiver1300 1300 Gold15%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Phantom Dancer Phantom Dancer2800 2800 Gold30%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Rapid Firecannon Rapid Firecannon3000 3000 Gold20%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Recurve Bow Recurve Bow700 700 Gold15%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Runaan's Hurricane Runaan's Hurricane2800 2800 Gold40%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Seething Sorrow Seething Sorrow3000 3000 Gold35%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Statikk Shiv Statikk Shiv2700 2700 Gold30%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Stormrazor Stormrazor3100 3100 Gold15%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Stridebreaker Stridebreaker3300 3300 Gold30%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
T.U.R.B.O. T.U.R.B.O.3000 3000 Gold35%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Terminus Terminus3000 3000 Gold30%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
The Baron's Gift The Baron's Gift3000 3000 Gold60%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Trinity Force Trinity Force3333 3333 Gold33%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Wit's End Wit's End2800 2800 Gold55%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Wyrmfallen Sacrifice Wyrmfallen Sacrifice3000 3000 Gold45%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Zeal Zeal1100 1100 Gold15%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid

Item passives[]

Champion abilities[]

Ally and/or User-targeted[]

User only[]

Enemy only[]

Runes[]

Neutral buffs[]

Decreasing attack speed[]

Attack speed reductions Multiple stacking icon 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[]

Champions with the lowest or highest attack speed before items, runes, or abilities
Champion Level Top 5 champions Bottom 5 champions
Level 1 1. Bel'Veth Bel'Veth 0.85 AS 1. Graves Graves 0.475 AS
2. Maokai Maokai 0.8 AS 2. Annie Annie 0.61 AS
3. Shen Shen 0.751 AS 3. Diana Diana
3. Fiddlesticks Fiddlesticks
3. Mega Gnar Mega Gnar
3. Karma Karma
3. Soraka Soraka
3. Sivir Sivir
3. Lulu Lulu
3. Gnar Gnar
3. Lillia Lillia
3. Renata Glasc Renata Glasc
3. Rell Rell
3. Kled Kled
3. Cho'Gath Cho'Gath
3. Azir Azir
3. Senna Senna
3. Galio Galio
3. Talon Talon
3. Kennen Kennen
3. Malzahar Malzahar
3. Jinx Jinx
3. Twisted Fate Twisted Fate
3. Ezreal Ezreal
3. K'Sante K'Sante
3. Neeko Neeko
3. Jhin Jhin
3. Riven Riven
3. Ornn Ornn
3. Kayle Kayle
3. Singed Singed
3. Yorick Yorick
3. Yuumi Yuumi
3. Volibear Volibear
3. Taric Taric
3. Kindred Kindred
3. Yone Yone
3. Mordekaiser Mordekaiser
3. Sett Sett
3. Urgot Urgot
3. Janna Janna
3. Milio Milio
3. Veigar Veigar
3. Thresh Thresh
3. Alistar Alistar
3. Morgana Morgana
3. Garen Garen
3. Illaoi Illaoi
3. Skarner Skarner
3. Akali Akali
3. Blitzcrank Blitzcrank
3. Swain Swain
3. Leona Leona
3. Nunu & Willump Nunu & Willump
3. Karthus Karthus
3. Aurelion Sol Aurelion Sol
3. Darius Darius
3. Elise Elise
3. Kled & Skaarl Kled & Skaarl
3. Poppy Poppy
0.625 AS
4. Malphite Malphite
4. Amumu Amumu
4. Zac Zac
0.736 AS 4. Rakan Rakan 0.635 AS
5. Nocturne Nocturne 0.721 AS 5. Warwick Warwick
5. Nidalee Nidalee
5. Corki Corki
5. Nasus Nasus
5. Jax Jax
5. Lucian Lucian
5. Smolder Smolder
5. Akshan Akshan
0.638 AS
Level 18 1. Azir Azir 1.333 AS 1. Mega Gnar Mega Gnar 0.678 AS
2. Gnar Gnar 1.263 AS 2. Graves Graves 0.692 AS
3. Kalista Kalista 1.225 AS 3. Jinx Jinx
3. Darius Darius
3. Yuumi Yuumi
3. Mordekaiser Mordekaiser
0.731 AS
4. Varus Varus 1.105 AS 4. Blitzcrank Blitzcrank 0.745 AS
5. Malphite Malphite 1.105 AS 5. Annie Annie 0.755 AS

Notes[]

Trivia[]

  • The old stat icon for Stat icon attack speed attack speed was an edited red recolor of the icon of Stinger Stinger.

Last updated: March 29, 2023 – V13.6


Last updated: July 15, 2020 – V10.14

References[]

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