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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 Stinger grants +35% attack speed and Nashor's Tooth 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 Fate's 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 Fate's 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 Fate 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 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.

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

Increasing attack speed

Items

Item Cost Amount Availability

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

The highest and lowest base attack speed champions.
Champion Level Top 5 champions Bottom 5 champions
Level 1 1. Maokai Maokai 0.8 AS 1. Graves Graves 0.481 AS
2. Shen Shen 0.749 AS 2. Illaoi Illaoi 0.571 AS
3. AmumuSquare Amumu
3. Kayle Kayle
3. Malphite Malphite
3. ZacSquare Zac
0.736 AS 3. AnnieSquare Annie 0.579 AS
4. Dr. MundoSquare Dr. Mundo 0.721 AS 4. Urgot Urgot 0.595 AS
5. Nautilus Nautilus 0.705 AS 5. MordekaiserSquare Mordekaiser 0.601 AS
Level 18 1. GnarSquare Gnar 1.297 AS 1. Graves Graves 0.694 AS
2. Vayne Vayne 1.027 AS 2. AnnieSquare Annie 0.713 AS
3. Malphite Malphite 1.102 AS 3. Darius Darius
3. Jinx Jinx
0.731 AS
4. Kennen Kennen 1.089 AS 4. Blitzcrank Blitzcrank 0.745 AS
5. TeemoSquare Teemo 1.086 AS 5. HeimerdingerSquare Heimerdinger
5. Brand Brand
5. Aurelion Sol Aurelion Sol
5. Vel'Koz Vel'Koz
5. Lux Lux
5. XerathSquare Xerath
5. Taliyah Taliyah
5. LissandraSquare Lissandra
0.77 AS

Trivia

Last updated: January 30th, 2018 – V8.2


Last updated: November 21, 2017 – V7.23


References