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)(1First Multiplicative Percentage Movement Bonus).... (1 + Last Multiplicative Percentage Movement Bonus)(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 is 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, they 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, their 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 25 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.
 * passively grants him flat movement speed while he is in  form.
 * grants him 40 movement speed for seconds each time Transform is cast.
 * grants him 335 flat movement speed for 3 seconds.
 * passively grants her 25 movement speed after not taking damage for 5 seconds, which gradually increases to 70 movement speed over 5 seconds.
 * grants 40 flat movement speed for  seconds when Nami's abilities hit allied champions.
 * grants her flat movement speed for 3 seconds when she attacks a target marked as Vulnerable by.
 * grants him 80 flat movement speed for seconds.
 * grants him flat movement speed for 25 seconds.
 * grants her flat movement speed for 2 seconds when she hits an enemy champion with her abilities or basic attacks.
 * steals movement speed from the target as a flat movement speed bonus for 4 seconds.
 * gives him 5 flat movement speed for 5 seconds each time he switches stance. This effect stacks up 3 times.
 * passively grants her 30 flat movement speed when moving towards an enemy champion. grants her 90 flat movement speed for  seconds when moving towards an enemy champion instead.

Increasing percentage movement speed
The bonus movement speed given by these items or champion abilities are based on a percentage of the bonus compared to your total flat movement speed (before all sources of percentage movement speed bonuses are factored in). Percentage movement speed will stack additionally with other sources of percentage movement speed, unless the bonus movement speed is the few exceptions that stack multiplicity.

All percentage bonus listed below stacks additionally with one another.

Champion abilities
Note: Only the movement speed bonus effect of these abilities is shown here. To read more about each of these abilities, follow their respective links.
 * grants him increased movement speed for 8 seconds.
 * grants him 10% increased movement speed for seconds.
 * grants her increased movement speed for 3 seconds if she hits a champion with the ability.
 * grants him extra movement speed for 12 seconds.
 * grants him 5% movement speed for each bleeding enemy champion.
 * grants him movement speed for  seconds. The movement speed bonus decreases rapidly over its duration.
 * grants her movement speed for 3 seconds.
 * increases her movement speed by for 3 seconds for each basic attacks she lands, stacking up to 3 times.
 * grants him movement speed passively. He can also activate this ability to increase his movement speed by  instead, also increasing nearby allied champions' movement speed by half of that amount for the duration.
 * grants him 35% increased movement speed for seconds.
 * grants him 30% increased movement speed that decays over 3 seconds.
 * passively increases this movement speed boost to.
 * increases the movement speed of nearby allied champions approaching her by 8% while she's alive.
 * passively increases her movement speed by 9/11/13/15/17% and enables her to pass through units. This bonus is lost while the ability is in cooldown.
 * deploys an Acceleration Gate for 4 seconds, increasing the movement speed of all allies who pass through it by for 3 seconds. This bonus fades over the duration.
 * grants her 175% movement speed that decays over 4 seconds when a champion or tower that Jinx has dealt damage to within the last 3 seconds is killed or destroyed.
 * increases an ally's movement speed by for  seconds. If used with, nearby allies around the selected ally gains 60% bonus movement speed.
 * increases her movement speed by for 1 second if she hits an enemy champion with this ability.
 * increases an allied champion's movement speed by  for 3 seconds.
 * grants him 40% movement speed for 1 second. This can be cast a second time within 10 seconds, or three times in total for a duration of 2 seconds each time if upgraded to.
 * grants her or an allied champion 30% movement speed for 3 / 3.5 / 4 / 4.5 / 5 seconds.
 * increases her 10% movement speed for 2 seconds when moving through brush,which increases to 30% if she is moving toward a visible enemy champion within 5500-range; increases her 30% movement when moving a  Prey enemy champion within 5500-range.
 * increases his movement speed by while in the trail made by the ability or left by enemy champions hit by it.
 * grants him and the target allied unit increased movement speed for 12 seconds.
 * leaves an electric field on the area for 3 seconds. The field speeds up allies and slows enemies by that move over it. This effect diminishes to normal over 2 seconds after leaving the area.
 * grants her increased movement speed for 5 seconds when activated.
 * replaces Quinn with Valor for 20 seconds on the battlefield. Valor gains increased movement speed that gradually decreases to  while in combat.
 * turns stealth for /  seconds or until Rengar damages an enemy. While stealthed, Rengar gains  /  bonus movement speed while moving toward an enemy champion.
 * grants him increased movement speed for 1 second. When in the "Danger Zone", this amount is increased to %.
 * grants her increased movement speed for 3 to 7 seconds, this bonus movement speed decreases over time.
 * rallies her allies for 10 seconds, granting them 60% movement speed bonus that reduces to 20% after seconds.
 * grants him a shield for up to 6 seconds and bonus movement speed that increases up to over 3 seconds, as long as the shield remains.
 * gains her  (+ 2% x  rank) bonus movement speed that decays down to the aura bonus over 3 seconds. The duration is increased by 0.5 seconds for each ally she tags with the aura. AURA: Allied champions tagged with Song of Celerity's aura gain   (+ 2% x  rank) movement speed for 1.5 seconds..
 * will stealth Talon for seconds and grant him 40% increased movement speed.
 * increases his movement speed by until he is struck by a champion or a turret. He can activate it to gain double the passive, for 3 seconds, which cannot be cancelled by a hit.
 * coats an area with ice for 8 seconds, gaining movement speed while on it.
 * grants him 20% movement speed while stealthed, maximum duration of seconds.
 * grants him increased movement speed for  seconds upon activation.
 * grants him 30% movement speed bonus for 2.5 seconds if he augmented the ability with.
 * grants him 15% bonus movement speed for 4 seconds. The bonus increases to % if he is moving towards a nearby visible enemy champion.
 * gains increased movement speed when he senses enemy champions under 50% life within  distance of him.
 * gains him an increasing 5% movement speed bonus every half second for the duration of the spell, with the bonus disappearing once he stops spinning.
 * summons a ghoul, which when alive (max duration is 5 seconds) grants Yorick increased movement speed.
 * slows an enemy champion's movement speed or increases an allied champion's movement speed by 40 / 55 / 70 / 85 / 99% for seconds.

Summoner spells

 * allows your champion to ignore unit collision and gain 27% movement speed for 10 seconds. With, the movement speed boost increased to 40% for the duration.
 * along with will grant the user 30% movement speed for 3 seconds after teleporting.
 * Flash upgraded by Distortion gives a 30% speed boost for 1 second after using the summoner spell.

Masteries

 * gives movement speed.
 * gives 5% movement speed while out of combat.

Neutral Buffs

 * The Speed Shrine buff on Dominion grants 30% increased movement speed.

Multiplicative speed boosts
Most speed boosts stack additively, but a select few stack multiplicatively with other speed boosts. These do not stack additionally with other percentage movement speed bonus, but rather are multiplied after all other percentage movement speed have been calculated. Multiplicative bonuses are notable for disregarding movement speed diminishing returns.

Champions

 * creates a directional draft for 5 seconds which increases the movement speed of allies passing through it by.
 * grants him 75% movement speed over the course of three seconds, ending 1 second afterward, charges at 25% a second.
 * increases his movement speed by for 10 seconds.
 * movement speed bonus increases by 20% a second for a maximum bonus of 140% after 7 seconds.
 * increases movement speed by 100% for 2 seconds.

Summoner spells

 * The 30% movement speed bonus when using Flash with is multiplicative.
 * grants 30% movement speed to the targeted ally and yourself for 1 seconds.

Decreasing movement speed
There are many ways to decrease a champion's movement speed, with the most usual one being through champion abilities. For a full list of slows, see here.