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 base attack speed. Additional bonus attack speed can be obtained through level-up or with a variety of items, abilities and runes. Some champions can even start with bonus attack speed at level 1, however it does not count as bonus attack speed. Bonus attack speed stacks additively, and each bonus point acquired directly affects its statistic. Bonus attack speed is a percentage of the base attack speed, therefore, champions with higher base attack speed benefit more from bonus attack speed.

Attack speed is capped at 2.5 attacks per second (or 1 attack every 0.4 seconds), but it can be removed with certain effects.

Gold Value ​​​​

• Attack speed has a gold value of 25 per point.

Calculations

Bonus attack speed per level

Champions gain an attack speed percentage 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: Stinger grants +35% attack speed and Nashor's Tooth grants +50% attack speed, so the champion gains +85% in total.

Notes:

• Final attack speed cannot go above the cap of 2.5 attacks per second.
• 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 is 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 $ \pagecolor{Black}\color{White}3.22\%\times(10-1)\times(0.7025+0.0175\times(10-1))=24.9228\% $ as bonus AS%.
  • Let's say he has maxed Stacked Deck increasing his attack speed by 30%.
  • He also has the Legend: Alacrity rune to 3%.
  • And he has Stinger: +35%.
  • All together he has: 24.9228% + 30% + 3% + 35% = 92.9228% bonus AS% or 0.929228 bonus AS as a decimal.
• Final calculation:

  $ \pagecolor{Black}\color{White}\begin{align} & 0.651 \times (1 + 0.929228) \\ \approx & 1.255927 \end{align} $

  • In game, the number will be shown as: 1.256.

Removing or exceeding the attack speed cap

The following game elements can remove or exceed the 2.5-attacks per second cap, potentially allowing infinite amounts of attacks per second or giving a fixed attack speed above the cap respectively.

Removing the cap

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, which cannot be affected by bonuses.

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.

Champions

• Jinx's Get Excited! and Zap!
• Kai'Sa's Supercharge
• Kayle's Radiant Blast
• Taric's Bravado
• Varus' Living Vengeance
• Xin Zhao's Wind Becomes Lightning
• Yasuo's Steel Tempest

Increasing attack speed

Items

Item	Cost	Amount	Availability
Berserker's Greaves Berserker's Greaves	1100	35 %	All maps
Blade of the Ruined King Blade of the Ruined King	3300	25 %	All maps
Bloodrazor Bloodrazor	2625	50 %	Summoner's Rift, Twisted Treeline, Nexus Blitz
Dagger Dagger	300	12 %	All maps
Guinsoo's Rageblade Guinsoo's Rageblade	3100	25 %	All maps
Kircheis Shard Kircheis Shard	600	15 %	All maps
Might of the Ruined King Might of the Ruined King	3300	40 %	All maps
Nashor's Tooth Nashor's Tooth	3000	50 %	All maps
Phantom Dancer Phantom Dancer	2600	30 %	All maps
Rapid Firecannon Rapid Firecannon	2600	30 %	All maps
Recurve Bow Recurve Bow	1000	25 %	All maps
Runaan's Hurricane Runaan's Hurricane	2600	40 %	All maps
Statikk Shiv Statikk Shiv	2600	40 %	All maps
Stinger Stinger	1100	35 %	All maps
Stormrazor Stormrazor	3100	30 %	All maps
Trinity Force Trinity Force	3733	40 %	All maps
Trinity Fusion Trinity Fusion	3733	50 %	All maps
Wit's End Wit's End	2900	50 %	All maps
Zeal Zeal	1200	15 %	All maps

• Ardent Censer
• Guinsoo's Rageblade
• Spear of Shojin

Champion abilities

Ally-targeted

User only

Runes

Decreasing attack speed

Attack speed reductions stack multiplicatively and take percentages off the final attack speed value after all bonus attack speed has been factored in. Attack speed reductions are affected by Tenacity, but not by Slow resist.

Champion abilities

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

Items

• Frozen Heart
• Randuin's Omen
• Thornmail
• Warden's Mail

Capped attack speed

The majority of champions are capped at 2.5 attacks per second. But some champion abilities make it impossible to reach that cap:

• Graves' New Destiny
• Jhin's Whisper
• Sion's Glory in Death

Champions with bonus 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. Maokai	0.8 AS	1. Graves	0.475 AS
	2. Shen	0.751 AS	2. Illaoi	0.571 AS
	3. Malphite 3. Amumu 3. Zac	0.736 AS	3. Annie	0.579 AS
	4. Nocturne 4. Dr. Mundo	0.721 AS	4. Singed	0.613 AS
	5. Wukong	0.711 AS	5. Bard 5. Heimerdinger 5. Malzahar 5. Kindred 5. Ezreal 5. Karma 5. Jhin 5. Cho'Gath 5. Lulu 5. Vel'Koz 5. Poppy 5. Xerath 5. Anivia 5. Zilean 5. Fiddlesticks 5. Elise 5. Diana 5. Rammus 5. Talon 5. Riven 5. Neeko 5. Soraka 5. Qiyana 5. Janna 5. Mordekaiser 5. Taric 5. Gnar 5. Syndra 5. Karthus 5. Urgot 5. Kennen 5. Yorick 5. Yuumi 5. Taliyah 5. Sivir 5. Kayle 5. Xayah 5. Jinx 5. Azir 5. Caitlyn 5. Galio 5. Garen 5. Thresh 5. Zoe 5. Brand 5. Zyra 5. Darius 5. Morgana 5. Ryze 5. Skarner 5. Akali 5. Blitzcrank 5. Nunu & Willump 5. Leona 5. Swain 5. Veigar 5. Alistar 5. Sejuani 5. Kled 5. LeBlanc 5. Ornn 5. Aurelion Sol	0.625 AS
Level 18	1. Gnar	1.263 AS	1. Graves	0.692 AS
	2. Kalista	1.166 AS	2. Annie	0.713 AS
	3. Malphite	1.105 AS	3. Jinx 3. Darius 3. Yuumi 3. Mordekaiser	0.731 AS
	4. Teemo	1.086 AS	4. Blitzcrank	0.745 AS
	5. Shen	1.083 AS	5. Aurelion Sol 5. Heimerdinger 5. Vel'Koz 5. Taliyah 5. Brand 5. Xerath	0.77 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

Last updated: October 15, 2018 – V8.20

• The most attack speed a champion can have is 9.81875 with a level 18 Taric.
• Base AS: 0.625 AS
• Items:
  • One Guinsoo's Rageblade
  • Five Nashor's Tooth
• Runes:
  • Trait: Domination ( Precision secondary)
  • Hail of Blades
  • Legend: Alacrity
• Buffs:
  • Nidalee's Primal Surge
  • Lulu's Whimsy
  • Jarvan IV's Demacian Standard
  • Nunu's Call of the Freljord
  • Ardent Censer
  • Taric's level 18 attack speed
• AS Amplification:
  • Taric's Bravado
• Relevant mathematics:
  • Taric's total AS:
    • Items = 73% + 5 × 50% = 323% bonus AS
    • Runes = 5.5% + 125% + 18% = 148.5% bonus AS
    • Buffs = 60% + 45% + 25% + 20% + 30% + 34% = 214% bonus AS
  • Taric's total AS = (0.625 × (1 + 3.23 + 1.485 + 2.14)) ×  2 = 9.81875 total AS

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Last updated: October 15, 2018 – V8.20

• The most attack speed a champion can reach at level 1 with the initial 500 is 3.44375 with Taric.
• Base AS: 0.625 AS
• Item:
  • One Dagger
• Runes:
  • Trait: Domination ( Precision secondary)
  • Hail of Blades
  • Legend: Alacrity (no stack)
• Buffs:
  • Lulu's Whimsy
  • Nidalee's Primal Surge
  • Nunu's Call of the Freljord
  • Jarvan IV's Demacian Standard
• AS Amplification:
  • Taric's Bravado
• Relevant mathematics:
  • Taric's total AS:
    • Items = 12% = 12% bonus AS
    • Runes = 5.5% + 75% + 3% = 83.5% bonus AS
    • Buffs = 25% + 20% + 20% + 15% = 80% bonus AS
  • Taric's total AS = (0.625 × (1 + 0.12 + 0.835 + 0.8)) ×  2 = 3.44375 total AS

References