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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).

• Attack speed has a gold value of 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.

Example: grants +35% attack speed and  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:
• 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 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 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 increasing his attack speed by 30%.
• Let's say he has the rune to 3%.
• Let's also say he has : +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.

## 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.

## Increasing attack speed

### Items

Item Cost Amount Availability
1100 35 %All maps
3300 25 %All maps
1625 50 %Summoner's Rift
300 12 %All maps
3100 25 %All maps
700 15 %All maps
3300 40 %All maps
3000 50 %All maps
2600 30 %All maps
2600 30 %All maps
1000 25 %All maps
2600 40 %All maps
2600 40 %All maps
1100 35 %All maps
3200 15 %All maps
3733 40 %All maps
3733 50 %All maps
2900 50 %All maps
1400 12 %All maps

## 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.

## 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

• 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 ).

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## Trivia

Last updated: May 10th, 2018 – V8.9

• The most attack speed a champion can have is 10.5375 with a level 18 .
• Base AS: 0.625 AS
• Items:
• One
• One +
• Four
• Runes:
• ( Inspiration secondary)
• Buffs:
• AS Amplification:
• Relevant mathematics:
• total AS:
• Items = + + + = 338% bonus AS
• Runes = + + = 146% bonus AS
• Buffs = + + + + + = 259% bonus AS
• total AS = (0.625 × (1 + 3.38 + 1.46 + 2.59)) ×  = 10.5375 total AS

Last updated: May 10th, 2018 – V8.9

• The most attack speed a champion can reach at level 1 with the initial 500 is 3.35 with .
• Base AS: 0.625 AS
• Item:
• One
• Runes:
• ( Inspiration secondary)
• (no stack)
• Buffs:
• AS Amplification:
• Relevant mathematics:
• total AS:
• Items = = 12% bonus AS
• Runes = + + = 61% bonus AS
• Buffs = + + + = 95% bonus AS
• total AS = (0.625 × (1 + 0.12 + 0.61 + 0.95)) ×  = 3.35 total AS

## References

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