Attack speed

 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 ​​​​​​

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

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: Recurve Bow grants +25% attack speed and Nashor's Tooth 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

• Twisted Fate's base attack speed and attack speed ratio are both 0.651.
• Calculating "bonus attack speed":
  • Every time Twisted Fate levels up, he gains bonus AS% based on his percentage growth 3.22% and his level through the statistics growth formula.
    • At level 10 he has gained 3.22% × 9 × (0.7025 + 0.0175 × 9) = 24.9228% as bonus AS%.
  • Let's say he has maxed Stacked Deck increasing his attack speed by 40%.
  • He also has the Legend: Alacrity rune to 3%.
  • And he has Berserker's Greaves: +35%.
  • All together he has: 24.9228% + 40% + 3% + 35% = 102.9228% bonus AS%.
• 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 $\color {white}{0.7}$and an attack speed ratio of $\color {white}{0.7}$. If this unit has 100% bonus attack speed from some number of sources, then the bonus attack speed multiplier is $\color {white}{1.0}$, resulting in a total of $\color {white}{1.4}$ attack speed (1.4 attacks per second). We get this value by taking the attack speed ratio of $\color {white}{0.7}$ and adding 100% of that same value to the base attack speed of $\color {white}{0.7}$.

Calculation: $\color {white}{0.7+1.0(0.7)=1.4}$

Suppose we had a unit with 50% bonus attack speed. The bonus attack speed multiplier would be $\color {white}0.5$. Therefore, the additional attack speed would be $\color {white}{0.35}$. When added onto the base attack speed of $\color {white}0.7$, we result in a total attack speed of $\color {white}{1.05}$.

With 200% bonus attack speed, we end up with $\color {white}{2.1}$total attack speed.

With 10%, we end up with $\color {white}{0.77}$.

Generalization

Let $\color {white}b$ be a unit's base attack speed, let $\color {white}m$ be a unit's attack speed ratio, let $\color {white}x$ be a unit's bonus attack speed, and let $\color {white}y$be a unit's total attack speed. Then a unit's total attack speed can be calculated by the following equation:

Total Attack Speed: $\color {white}{y=b+mx}$ 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 $\color {white}{m}$can be replaced with $\color {white}{b}$. For these units, we result in the following equation:

$\color {white}{y=b+bx}$

Simplifying the equation by factoring out $\color {white}{b}$ gives us this final equation:

$\color {white}{b(1.0+x)}$

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

• Jinx's Get Excited!

Runes

• Hail of Blades
• Lethal Tempo

Fixed attack speed above the cap

Champions

• Urgot's Purge - 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

• Graves' New Destiny - Special attack cooldown and attack speed calculation - cannot reach 2.5 attack speed.
• Jhin's Whisper - Always fixed to his base attack speed + innate attack speed growth, thus can never reach 2.5 attack speed.
• Sion's Glory in Death - 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.

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

• Jinx's Get Excited!
• Taric's Bravado
• Varus' Living Vengeance

Cast Times

• Jinx's Zap!
• Kai'Sa's Supercharge
• Senna's Piercing Darkness
• Tristana's Explosive Charge
• Viego's Blade of the Ruined King
• Yasuo's Steel Tempest
• Yone's Mortal Steel and Spirit Cleave

Other effects that scale with attack speed

• Akshan's Dirty Fighting (the movement speed) and Heroic Swing (the shot damage)
• Aphelios' Onslaught (the number of attacks), Crescendum (the missile speed) and Sentry (sentry's attack speed)
• Garen's Judgment (the number of spins, only attack speed from item stats, mythic passives, and growth (per level) are counted)
• Graves' New Destiny (reload time decreases with attack speed)
• Jhin's Whisper (gains bonus AD in addition to increased movement speed on-critical strike based on bonus attack speed)
• Kai'Sa's Supercharge (the increased movement speed given is increased based upon bonus attack speed and the ability can be evolved based on bonus attack speed)
• Katarina's Death Lotus (the physical damage of each dagger)
• Kindred's Wolf's Frenzy (wolf's attack speed)
• Viego's Sovereign's Domination (the percentage of the target's maximum health that Viego is healed by)
• Yasuo's Steel Tempest (the cooldown of the ability)
• Yone's Mortal Steel and Spirit Cleave (the cooldown of both abilites)

Items

Cast Times

• Goredrinker ( Ceaseless Hunger)
• Ironspike Whip
• Stridebreaker ( Dreamshatter)

Increasing attack speed

Items

Flat attack speed

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

Item	Cost	Amount	Availability
Berserker's Greaves Berserker's Greaves	1100	35%	All maps
Blade of the Ruined King Blade of the Ruined King	3200	25%	All maps
Bloodward Bloodward	3400	30%	All maps
Dagger Dagger	300	12%	All maps
Dreamshatter Dreamshatter	3300	30%	All maps
Galeforce Galeforce	3400	20%	All maps
Guinsoo's Rageblade Guinsoo's Rageblade	2600	45%	All maps
Hearthbound Axe Hearthbound Axe	1100	15%	All maps
Immortal Shieldbow Immortal Shieldbow	3400	20%	All maps
Infinity Force Infinity Force	3333	40%	All maps
Kircheis Shard Kircheis Shard	700	15%	All maps
Kraken Slayer Kraken Slayer	3400	25%	All maps
Mortal Reminder Mortal Reminder	2500	25%	All maps
Nashor's Tooth Nashor's Tooth	3000	50%	All maps
Noonquiver Noonquiver	1300	15%	All maps
Phantom Dancer Phantom Dancer	2600	25%	All maps
Rageknife Rageknife	800	25%	All maps
Rapid Firecannon Rapid Firecannon	2500	35%	All maps
Recurve Bow Recurve Bow	1000	25%	All maps
Runaan's Hurricane Runaan's Hurricane	2600	45%	All maps
Stormrazor Stormrazor	2700	15%	All maps
Stridebreaker Stridebreaker	3300	20%	All maps
Trinity Force Trinity Force	3333	30%	All maps
Typhoon Typhoon	3400	35%	All maps
Wit's End Wit's End	3100	40%	All maps
Wyrmfallen Sacrifice Wyrmfallen Sacrifice	3400	40%	All maps
Zeal Zeal	1050	18%	All maps

Item passives

• Ardent Censer
• Kraken Slayer ( Wyrmfallen Sacrifice)
• Phantom Dancer
• Trinity Force ( Infinity Force)

Champion abilities

Ally and/or User-targeted

• Jarvan IV's Demacian Standard
• Lulu's Whimsy
• Nidalee's Primal Surge
• Nunu's Call of the Freljord
• Yuumi's Zoomies

User only

• Aphelios' The Hitman and the Seer
• Ashe's Ranger's Focus
• Azir's Arise!
• Blitzcrank's Overdrive
• Camille's Wall Dive
• Diana's Moonsilver Blade
• Draven's Blood Rush
• Elise's Skittering Frenzy
• Ezreal's Rising Spell Force
• Fiora's Bladework
• Gnar's Rage Gene and Hop
• Gwen's Skip 'n Slash
• Irelia's Ionian Fervor
• Jarvan IV's Demacian Standard
• Jax's Relentless Assault
• Jayce's Hyper Charge
• Jinx's Get Excited! and Pow-Pow
• Kai'Sa's Supercharge
• Kayle's Divine Ascent
• Kennen's Lightning Rush
• Kindred's Dance of Arrows
• Kled's Violent Tendencies
• Kog'Maw's Caustic Spittle
• Lee Sin's Flurry
• Master Yi's Highlander
• Miss Fortune's Strut
• Nocturne's Shroud of Darkness
• Olaf's Berserker Rage and Vicious Strikes
• Qiyana's Terrashape with an Element
• Quinn's Heightened Senses
• Rammus' Frenzying Taunt
• Rengar's Savagery
• Rumble's Overheat
• Samira's Wild Rush
• Shen's Twilight Assault
• Sivir's On the Hunt
• Skarner's Crystal Spires
• Sylas' Petricite Burst
• Taric's Bravado
• Teemo's Guerrilla Warfare
• Tristana's Rapid Fire
• Trundle's Frozen Domain
• Twisted Fate's Stacked Deck
• Twitch's Ambush
• Udyr's Monkey's Agility and Tiger Stance
• Varus' Living Vengeance
• Vi's Denting Blows
• Viego's Harrowed Path
• Volibear's The Relentless Storm
• Warwick's Blood Hunt
• Wukong's Nimbus Strike
• Xayah's Deadly Plumage
• Xin Zhao's Audacious Charge

Runes

• Hail of Blades
• Lethal Tempo
• Legend: Alacrity
• Attack speed rune shard

Decreasing attack speed

Main article: Types of Crowd Control#Cripple

Attack 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

• Fiora's Riposte
• Malphite's Ground Slam
• Mordekaiser's Realm of Death
• Nasus' Wither

Items

• Frozen Heart

Champions with altered base attack speed at level 1

List of champions' attack speed

Main article: 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. Maokai	0.8 AS	1. Graves	0.475 AS
	2. Shen	0.751 AS	2. Rell	0.55 AS
	3. Amumu 3. Malphite 3. Zac	0.736 AS	3. Illaoi	0.571 AS
	4. Nocturne	0.721 AS	4. Annie	0.579 AS
	5. Dr. Mundo	0.72 AS	5. Singed	0.613 AS
Level 18	1. Gnar	1.263 AS	1. Mega Gnar	0.678 AS
	2. Kalista	1.166 AS	2. Graves	0.692 AS
	3. Varus	1.105 AS	3. Annie	0.713 AS
	4. Malphite	1.105 AS	4. Darius 4. Mordekaiser 4. Jinx 4. Yuumi	0.731 AS
	5. Yasuo	1.096 AS	5. Rell	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 Master Yi's Alpha Strike).

Trivia

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

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Last updated: July 15, 2020 – V10.14

• Without using Prototype: Omnistone, which potentially allows for infinite amounts of attack speed, The most attack speed a champion can have is 10.4375 with a level 18 Taric.
• Base AS: 0.625 AS
• Items:
  • One Guinsoo's Rageblade
  • One Sanguine Blade
  • Four Nashor's Tooth
• Runes:
  • Hail of Blades or Lethal Tempo
  • Legend: Alacrity
  • Attack speed rune shard
• Buffs:
  • Nidalee's Primal Surge
  • Lulu's Whimsy
  • Jarvan IV's Demacian Standard
  • Yuumi's Zoomies
  • Ardent Censer
  • Taric's level 18 attack speed
• AS Amplification:
  • Taric's Bravado
• Relevant mathematics:
  • Taric's total AS:
    • Items = 73% + 80% + 4 × 50% = 353% bonus AS
    • Runes = 110% + 18% + 10% = 138% bonus AS
    • Buffs = 60% + 45% + 30% + 45% + 30% + 34% = 244% bonus AS
  • Taric's total AS = (0.625 × (1 + 3.53 + 1.38 + 2.44)) ×  2 = 10.4375 total AS

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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 Jayce.
• Base AS: 0.658 AS
• Item:
  • One Dagger
• Runes:
  • Hail of Blades
  • Legend: Alacrity (no stacks)
  • Attack speed rune shard
• Buffs:
  • Jayce's Hyper Charge
  • Jarvan IV's Demacian Standard
  • Lulu's Whimsy
  • Nidalee's Primal Surge
  • Yuumi's Zoomies
• Relevant mathematics:
  • Jayce's total AS:
    • Items = 12% = 12% bonus AS
    • Runes = 110% + 3% + 10% = 123% bonus AS
    • Buffs = 25% + 20% + 25% + 20% + 300% = 390% bonus AS
  • Jayce's total AS = (0.658 × (1 + 0.12 + 1.23 + 3.90)) = 4.1125 total AS

Champion statistics