# Attack speed

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Attack speed (often shortened as AS or ASPD) is the frequency of a champion's basic attacks. They are measured and displayed as attacks per second.

• Attack speed cannot be increased beyond 2.5 attacks per second (or 1 attack every two fifths of a second, or 0.4 seconds).
• bypasses this limit (up to 5.00 attack per second).

Attack speed bonuses (from items or abilities, etc.) are in percent. The bonus is a percentage of the champions base attack speed. Therefore, champions with higher base attack speed benefit more from attack speed increases. Like all stats, one's attack speed can be increased via leveling up, items, runes, masteries, buffs, and abilities. Some items and abilities (only those two) decrease enemy attack speed.

## 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 0.08. (ASbase) is the total number shown at level 1 without runes, masteries, etc. It is represented this way throughout the wiki.

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

### Bonus attack speed sources

• Champions gain AS% at each level, not including level 1. This amount ranges from roughly 0% to 4% and depends on the champion. This amount depends on the level through the Statistics growth formula.
• Items
• Champion abilities
• Masteries
• Attack Speed runes

Example: grants +35% attack speed and 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:
• attack delay is −0.04.
• $${0.625 \over (1 - 0.04)} = {0.625 \over 0.96} = 0.651041\overline6$$. This is base attack speed, seen at level 1 (without runes, masteries, 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 $$3.22\% \times({7 \over 400}\times(18^2-1)+{267\over400}\times(18-1))=54.74\%$$ as bonus AS%.
• At 18 he has maxed increasing his attack speed by 30%.
• Let's say he has the mastery up to 4%.
• Let's also say he has : +35%.
• All together he has: $$54.74\% + 30\% + 4\% + 35\% = 123.74\%$$ bonus AS% or 1.2374 bonus AS as a decimal.
• Final calculation:
\begin{align} & {0.625 \over 0.96} + ({{0.625 \over 0.96} \times 123.74\%}) \\ =& 0.651041\overline6 + ({0.651041 \times 123.74\%}) \\ \approx & 1.45664 \end{align}
• In game, the number will be shown as: 1.457.

## Increasing attack speed

### Items

Item Cost Amount Availability
1100 35 %Common
3400 40 %Common
1625 50 %Classic
300 12 %Common
750 15 %Common
3000 50 %Common
2550 45 %Common
950 15 %Crystal Scar
2600 30 %Common
1000 25 %Common
2600 40 %Common
2600 35 %Common
1100 35 %Common
3733 40 %Common
2000 20 %Black Market Brawlers
2500 40 %Common
1300 15 %Common
• : Unique Passive: Your heals and shields on another unit grant them 15% attack speed and 30 magic damage on-hit for 6 seconds
. +40 ability power, +100% base mana regeneration, +10% cooldown reduction. Unique Passive: +8% movement speed. 2200
• : Passive: Basic attacks grant +8% attack speed, +3 attack damage, and +4 ability power for 5 seconds (stacks up to 6 times). While you have 6 stacks, you gain Guinsoo's Rage
. +35 attack damage, +50 ability power. Unique Passive: Basic attacks deal an additional 15 magic damage on-hit. Unique Passive – Guinsoo's Rage: Every other basic attack will trigger on-hit effects an addtional time. 3600
• : Unique Active: Grants +20% movement speed and +40% attack speed for 6 seconds (45 second cooldown)
. +65 attack damage, +10% cooldown reduction. Unique Passive: +20 armor penetration. 3200

### Champion abilities

Note: Only the attack speed buff effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

• passively increases his attack speed by 0.6 - 1.1 (based on level)% for every 2% in the Blood Well.
• increases his attack speed by 40 / 50 / 60% for 12 seconds.
• increases his attack speed by 30 / 38 / 46 / 54 / 62% for 5 seconds.
• passively grants Diana 20% bonus attack speed.
• increases his attack speed by 20 / 25 / 30 / 35 / 40% for 3 seconds.
• increases the attack speed of herself and her Spiderlings by 60 / 80 / 100 / 120 / 140% for 3 seconds.
• increases her attack speed by 60 / 75 / 90 / 105 / 120% for 3 seconds after attacking with .
• passively increases his attack speed by 10% whenever he hits a target with any of his abilities. This bonus lasts for 6 seconds and stacks up to 5 times.
• increases the attack speed of allied champions it passes through by 20 / 25 / 30 / 35 / 40% for 5 seconds.
• increases her attack speed by 50% for her 2 next basic attacks.
• increases his attack speed by 5.5 - 99 (based on level)% when in .
• increases his attack speed by 20 / 30 / 40 / 50 / 60% for 3 seconds.
• passively increases his attack speed by 15 / 17.5 / 20 / 22.5 / 25%. When activated, it throws a flag that increases nearby allied champions and his own attack speed by the same amount.
• causes his basic attacks to increase his attack speed by 3.5 - 11 (based on level)%. This bonus lasts for 2.5 seconds and stacks up to eight times, falling off one stack at a time every 0.25 seconds.
• increases his attack speed to 2.5 for three basic attacks.
• causes her basic attacks to grant bonus attack speed for 2.5 seconds, stacking up to three times (up to 30 / 40 / 50 / 60 / 70%).
• grants her 15% total attack speed for 6 seconds whenever an enemy champion or structure dies within 3 seconds of being damaged by her.
• makes him periodically enter a frenzy that grants him 150% bonus attack speed on his next 4 attacks for 4 seconds.
• passively increases his attack speed by 15 / 20 / 25 / 30 / 35%, and, upon activation and for 6 seconds, double his total attack speed.
• increases the attack speed by 40% of his next two 2 autoattacks within the next three seconds after casting an ability.
• casts erratic magic upon the target champion, giving them 15 / 20 / 25 / 30 / 35% bonus attack speed and bonus movement speed for the next few seconds if they are an ally.
• increases his attack speed by 30 / 55 / 80% for 7 seconds. Kills and assists extends the duration by 7 seconds.
• increases her attack speed by 40 / 55 / 70 / 85 / 100% for 6 seconds.
• increases her or an allied unit's attack speed by 20 / 30 / 40 / 50 / 60% for 7 seconds.
• passively grants himself 20 / 25 / 30 / 35 / 40% attack speed. Upon activation, it summons a spell shield for 1.5 seconds, if the shield successfully blocks a spell, the attack speed bonus is doubled for 5 seconds.
• increases an allied unit's and his own attack speed by 25 / 30 / 35 / 40 / 45% for 12 seconds.
• passively increases his attack speed by 1% per 1% health he is missing.
• increases his attack speed by 40 / 50 / 60 / 70 / 80% for 6 seconds.
• increases Quinn's attack speed by 20 / 25 / 30 / 35 / 40% for 3 seconds when she attacks a target marked by .
• passively grants her 20 / 40 / 60% bonus attack speed.
• increases his attack speed by bonus 47 + (3 × Rengar's level) % for 5 seconds
• passively grants her 40 / 60 / 80% attack speed while is active.
• increases his attack speed by 20 / 40 / 60 / 80% for 3 seconds after leaving his stealth state.
• increases her attack speed by 30 / 50 / 70 / 90 / 110% for 5 seconds.
• coats the target location with ice for 8 seconds, while on this area, Trundle increases his attack speed by 20 / 35 / 50 / 65 / 80%.
• passively increases his attack speed by 10 / 15 / 20 / 25 / 30%.
• increases his attack speed by 30 / 40 / 50 / 60 / 70% for up to 5 seconds after revealing himself.
• increases his attack speed by 10% upon switching stances. This bonus lasts for 5 seconds and stacks up to 3 times.
• increases his attack speed by 30 / 40 / 50 / 60 / 70% for 5 seconds on activation.
• increases attack speed by 20% for 3 seconds on minion kills, while a champion kill/assist will grant 40% for 6 seconds.
• will increase Vi's attack speed by 30 / 35 / 40 / 45 / 50% for 4 seconds after attacking the same target 3 times.
• passively causes his auto attacks to increase his attack speed by 4 / 8 / 12 / 16 / 20%. This bonus stacks up to 3 times and lasts for 4 seconds.
• increases his attack speed by 40 / 50 / 60 / 70 / 80% and half of that amount to nearby allied champions for 6 seconds.
• increases his attack speed by 30 / 35 / 40 / 45 / 50% after hitting a target with this skill.
• increases his attack speed by 40 / 50 / 60 / 70 / 80% for 5 seconds.

### Masteries

• increases your champion's attack speed by 0.8 / 1.6 / 2.4 / 3.2 / 4%.

### Runes

Name Type Tier 1 (Lesser) Tier 2 (Normal) Tier 3 (Greater)
Attack Speed Mark

0.94 %

N/A

1.32 %

1

1.7 %

410

Seal

X X 0.76 %

410

Glyph

X X 0.64 %

410

Quintessence

2.52 %

N/A

3.51 %

1

4.5 %

1025

## Reducing attack speed

Note: Attack speed reductions stack multiplicatively and take percentages off the final attack speed value after all bonus attack speed has been factored in.

### Items

• : Unique Aura: Reduces the attack speed of nearby enemies by 15%.
• : Unique Passive – Cold Steel: If you are hit by a basic attack, you slow the attacker's attack speed by 15% for 1 second.
• : Unique Passive – Cold Steel: If you are hit by a basic attack, you slow the attacker's attack speed by 15% for 1 second.

### Summoner Spells

• : Active: Exhausts target enemy champion, reducing their movement speed and attack speed by 30%, their armor and magic resist by 10, and their damage dealt by 40% for 2.5 seconds.

### Champion abilities

Note: Only the attack speed reduction effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

• slows affected units' attack speed by 20% for 1 second.
• slows affected enemy champion's attack speed by 50% for 1.5 seconds.
• slows affected units' attack speed by 30 / 35 / 40 / 45 / 50% for 3 seconds.
• reduces an enemy unit's attack speed by 17.5% plus an additional 1.5 / 3 / 4.5 / 6 / 7.5% per second for 5 seconds.
• slows the attack speed of all nearby enemy units by 25% while channeling for 3 seconds.
• reduces an enemy unit's attack speed by 25% for 3 seconds.

## Notes

(bonus attack speed only) is the only ability that directly scales with a champion's attack speed statistic. Many other abilities can scale indirectly (for example, through the flat cooldown reduction per attack with ).

## List of champions' attack speed

The highest and lowest base attack speed champions
Champion Level Top 5 champions Bottom 5 champions
Level 1 1. 0.694 AS 1. 0.481 AS
1.
1.
1.
1.
2. 0.69 AS 2. 0.568 AS
2.
3. 0.679 AS 3. 0.571 AS
3.
3.
3.
3.
3.
4. 0.672 AS 4. 0.579 AS
4.
5. 0.67 AS 5. 0.601 AS
5.
5.
5.
Level 18 1. 1.105 AS 1. 0.678 AS
2. 1.089 AS 2. 0.712 AS
3. 1.087 AS 3. 0.717 AS
4. 1.07 AS 4. 0.731 AS
5. 1.06 AS 5. 0.731 AS
5.
5.

## Trivia

Last updated: May 28st 2016 - V6.10

• The most attack speed a champion can reach at level 1 with the initial 500  is 3.03 with .
• With no particular context, the amount of bonus attack speed required for to reach the AS cap is 300%.
• Base AS: 0.625 AS
• Bonus AS: +142.4% AS
• AS Amplification: 200% Total AS
• (+100% Total AS)
• Relevant mathematics:
• Total AS = 0.625 × (1 + 1.424) ×  = 3.03 Total AS
• Bonus AS = 41.4% +  +  + 85% AS = 142.4% Bonus AS
• Runes =  +  +  +  = 41.4% Bonus AS
• Buffs =  +  +  +  = 85% Bonus AS
• Bonus AS for the cap = 5 ÷ ( × 0.625) = 4 = 300% Bonus AS