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, and some bonus attack speed is gained at each level-up.

Additional bonus attack speed can be obtained 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 base attack speed. Therefore, champions with higher base attack speed benefit more from bonus attack speed.

Attack speed cannot be increased beyond 2.5 attacks per second (or 1 attack every two fifths of a second, or 0.4 seconds).

Gold Value

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

Calculations

Base attack speed

Every champion's base attack speed (ASbase) is calculated using a hidden variable called attack delay,[1] which ranges from −0.10 to 0.3. As ASbase is the value that is modified by bonus attack speed, and the amount shown at level 1 for most champions (excepting those with bonus attack speed at level 1), it is the value shown on the League of Legends Wiki.

$ \pagecolor{Black}\color{White}{\it AS}_{\rm base} = {0.625 \over 1 + {\it attack\ delay}} $

Bonus attack speed sources

  • 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 item Stinger grants +35% attack speed and Nashor's Tooth item Nashor's Tooth also 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

  • Calculating base attack speed:
    • Twisted FateSquare Twisted Fate's attack delay is −0.04.
    • $ \pagecolor{Black}\color{White}{0.625 \over (1 - 0.04)} = {0.625 \over 0.96} = 0.651041 \overline{6} $. This is Twisted FateSquare Twisted Fate's base attack speed, seen at level 1 (without runes, etc.).
    • The number seen in game is rounded to 3 decimal places: 0.651.
  • Calculating "bonus attack speed":
    • Every time Twisted FateSquare Twisted Fate levels up, he gains bonus AS% based on percentage growth 3.22% and his level through the statistics growth formula.
      • At level 18 he has gained $ \pagecolor{Black}\color{White}3.22\% \times\left({7 \over 400}\times(18^2-1)+{267\over400}\times(18-1)\right)=54.74\% $ as bonus AS%.
    • At 18 he has maxed Stacked Deck Stacked Deck increasing his attack speed by 30%.
    • Let's say he has the Legend- Alacrity rune Legend: Alacrity rune to 3%.
    • Let's also say he has Stinger item Stinger: +35%.
    • All together he has: 54.74% + 30% + 3% + 35% = 122.74% bonus AS% or 1.2274 bonus AS as a decimal.
  • Final calculation:
    $ \pagecolor{Black}\color{White}\begin{align} & {0.625 \over 0.96} + \left({{0.625 \over 0.96} \times 122.74\%}\right) \\ =& 0.651041\overline6 + ({0.651041 \times 122.74\%}) \\ \approx & 1.450128 \end{align} $
    • In game, the number will be shown as: 1.450.

Removing the attack speed cap

The following game elements can remove the 2.5-attacks per second cap, potentially allowing infinite amounts of attacks per second.

Champions

Runes

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

Items

Increasing attack speed

Items

Item Cost Amount Availability
Berserker's Greaves item Berserker's Greaves1100 Gold35 %Common
Blade of the Ruined King item Blade of the Ruined King3200 Gold25 %Common
Bloodrazor item Bloodrazor2625 Gold50 %Classic
Dagger item Dagger300 Gold12 %Common
Guinsoo's Rageblade item Guinsoo's Rageblade3300 Gold25 %Common
Kircheis Shard item Kircheis Shard800 Gold15 %Common
Nashor's Tooth item Nashor's Tooth3000 Gold50 %Common
Phantom Dancer item Phantom Dancer2800 Gold45 %Common
Rapid Firecannon item Rapid Firecannon2900 Gold30 %Common
Recurve Bow item Recurve Bow1000 Gold25 %Common
Runaan's Hurricane item Runaan's Hurricane2900 Gold40 %Common
Statikk Shiv item Statikk Shiv2900 Gold35 %Common
Stinger item Stinger1100 Gold35 %Common
Stormrazor item Stormrazor3200 Gold30 %Common
Trinity Force item Trinity Force3733 Gold40 %Common
Trinity Fusion item Trinity Fusion4733 Gold50 %Common
Wit's End item Wit's End2400 Gold40 %Common
Zeal item Zeal1300 Gold15 %Common

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.

Items

Champion abilities

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:

Notes

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. MaokaiSquare Maokai 0.8 AS 1. GravesSquare Graves 0.481 AS
2. ShenSquare Shen 0.749 AS 2. IllaoiSquare Illaoi 0.571 AS
3. AmumuSquare Amumu
3. KayleSquare Kayle
3. MalphiteSquare Malphite
3. ZacSquare Zac
0.736 AS 3. AnnieSquare Annie 0.579 AS
4. Dr. MundoSquare Dr. Mundo 0.721 AS 4. UrgotSquare Urgot 0.625 AS
5. NautilusSquare Nautilus 0.705 AS 5. MordekaiserSquare Mordekaiser 0.601 AS
Level 18 1. GnarSquare Gnar 1.297 AS 1. GravesSquare Graves 0.694 AS
2. KalistaSquare Kalista 1.107 AS 2. AnnieSquare Annie 0.713 AS
3. MalphiteSquare Malphite 1.102 AS 3. DariusSquare Darius
3. JinxSquare Jinx
0.731 AS
4. KennenSquare Kennen 1.089 AS 4. BlitzcrankSquare Blitzcrank 0.745 AS
5. TeemoSquare Teemo 1.086 AS 5. HeimerdingerSquare Heimerdinger
5. BrandSquare Brand
5. Aurelion SolSquare Aurelion Sol
5. Vel'KozSquare Vel'Koz
5. LuxSquare Lux
5. XerathSquare Xerath
5. TaliyahSquare Taliyah
5. LissandraSquare Lissandra
0.77 AS

Trivia

Last updated: May 10th, 2018 – V8.9


Last updated: May 10th, 2018 – V8.9


References