Movement speed

Movement speed is a champion statistic that represents the rate at which a champion travels across a map. One movement speed point translates to one game distance unit traveled per second (as a frame of reference, basic attack has a range of 600 game distance units).

For example,

A champion with movement speed (half of  range) will take 2 seconds to travel that distance.

Each champion begins the game with a particular base movement speed, ranging from 325 (e.g. and ) to 355 ( and ) units per second. For a list of all champions' base movement speed, see base champion statistics.

This base movement speed can be increased by flat bonuses and percentage bonuses and reduced by slows. These effects can come from items, champion abilities, spells, masteries, runes or neutral buffs.

Calculations
A champion's movement speed is given by the following formula:
 * (Base Movement SpeedFlat Movement Bonuses)(1Additional Percentage Movement Bonuses)(1Multiplicative Percentage Movement Bonuses)(1 - Slow RatioSlow Resist Ratio)

The soft cap are then applied to the result.

Flat bonuses are applied first, then additional percent bonuses, then multiplicative percent bonuses, and slows, then the soft cap. Because bonuses and slows are applied to each other, a champion affected by a 20% bonus and a 20% slow still has a net reduced movement speed (e.g. 300288).

Movement speed caps
When the raw movement speed is greater than 415, there are two soft caps applied: The two ranges have their reductions applied at the same time before being added back together.
 * The raw speed between 415 and 490 gets multiplied by 80%.
 * The raw speed over 490 gets multiplied by 50%.
 * As an example, if the calculated raw speed is 600 before soft caps kick in, it is reduced to (600490)(490415)415530, which means an  reduction of the original movement speed.

These are the simplified formulas:
 * If the raw speed is 415 or under, no cap is applied.
 * If the raw speed is between 415 and 490, final speed is soft capped to RawMS83.
 * If the raw speed is above 490, final speed is soft capped to RawMS230.

When the raw movement speed is less than 220 another soft cap is used:
 * If the raw speed below 220, it gets multiplied by 50% and added to 110.
 * Example: if the calculated raw speed is 180 before soft caps kick in, it is increased to 180110200.

Slow stacking
Slowing effects follow particular rules when stacking:
 * If a champion is affected by multiple slows, the strongest one will be fully applied, while the others are applied sequentially with 65% reduced effectiveness down to 35% of its original strength.
 * Slow effects derived from items with the same name or named item effect do NOT stack, even when coming from different champions. Only the strongest item slow is applied at any moment. The exception to this is the active effect of, , and , which stacks with other slowing items normally because they are considered champion abilities for slow stacking purposes.
 * Attacking a champion with the buff when the target is already affected by that slow will reapply the debuff, resetting its duration. It will NOT increase the slow amount. The same holds true for the  summoner spell.

Example
A champion with a raw movement speed of 400 is affected by a 2 second long 40% slow and a 5 second long 20% slow at the same time.
 * For the first two seconds, he will have (1)(1) of his original movement speed (a effective slow). So he will have 400 raw movement speed.
 * For the following three seconds, the effective slow will be 20% and so he will have 4000.8320 movement speed.
 * After that, he will return to his normal speed of 400.

Slow Resist
Slow Resist is a statistic that reduces the effectiveness of slows by a percentage. It may currently only be gained by the mastery,  and. Slow Resist stacks multiplicatively.

A champion with and a movement speed of 400 is affected by a 40% slow will have a movement speed of 400(1)280, which is equal to a 30% slow without slow resist.

Increasing flat movement speed
The bonus given by these items or champion abilities are flat increases to the champion's base movement speed. These flat bonuses will increase the effectiveness of percentage bonuses.

Purchasing boots from the store grants a champion a flat increase in movement speed. Champions cannot buy more than one set of boots. The bonus from boots is quite big compared to their cost and is essential for all champions.

Champion abilities

 * passively grants her 10 flat movement speed while she is in spider form.
 * grants her flat movement speed for 3 seconds each time she hits an enemy champion with her abilities. This effect stacks up to 4 times.