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, diameter is 100 units). For example, a champion with 300 movement speed will be able to walk three in one second.

Each champion begins the game with a base amount of movement speed, ranging from 325 (e.g. and ) to 355 ( and ). 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, summoner spells, masteries, runes and environmental 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 - The Highest Slow RatioSlow Resist Ratio)

Flat bonuses are applied first, then additive percent increases, then multiplicative percent bonuses, then the strongest slow affecting the target, then any caps that apply. Note that slows do not stack. 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 lower, 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 1: If the calculated raw speed is 180 before soft caps kick in, it is increased to 180110200.
 * Example 2: If the calculated raw speed is 0 before soft caps kick in, it is increased to 0110110.

Only slow with the highest value affecting particular champion is taken into calculations. All additional slows are ignored until higher-valued slows wear off. When highest valued slow decays, another affecting slow is calculated into.

The only exception to this is when the slow exceeds 100%, in which case the target ends up with 0 movement speed.

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, a movement speed of 400 and who 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

 * grants her 215 flat movement speed while the orb is travelling, decaying to 80 over seconds.
 * passively grants her 25 flat movement speed while she is in spider form.
 * passively grants him flat movement speed while he is in  form.
 * grants him 40 flat movement speed for seconds each time Transform is cast.
 * gains 25 bonus movement speed if she has not taken damage in the last 5 seconds, excluding periodic damage. This bonus is increased to after another 5 seconds.
 * grants 75 flat movement speed to Mordekaiser and the targeted ally while they are moving towards each other.
 * grants 60 flat movement speed for  seconds when  abilities hit allied champions, increased to 120  when touched by.
 * grants 335 flat movement speed while moving toward targets.
 * passively grants her flat movement speed while she is burrowed.
 * 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.
 * gives him 5 flat movement speed for 5 seconds each time he switches stance, stacking up to 3 times for a maximum of 15 flat movement speed.
 * passively grants her 30 flat movement speed when moving towards a nearby visible enemy champion.
 * grants her 90 flat movement speed for seconds when moving towards a nearby visible enemy champion.

Masteries

 * grants 15 flat movement speed while in brush and river.

Neutral buffs

 * buff grants flat movement speed when out-of combat. Increased to  when under the  buff.

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 her bonus movement speed every time she re-enters the smoke cover.
 * grants bonus movement speed to allies (or himself) traveling through the corridor.
 * grants him % bonus movement speed that decays to 10% over 5 seconds, after that duration, he is by 30% for  seconds.
 * grants him 10% bonus movement speed for seconds.
 * grants her 20% bonus movement speed for 3 seconds if she hits a champion with the ability.
 * grants him 40% movement speed out of combat while he has one cast of
 * grants him % bonus movement speed for 12 seconds.
 * grants him % bonus movement speed that rapidly decays over seconds.
 * grants him % bonus movement speed for seconds, upon landing a 3rd basic attack or damaging ability on an enemy champion.
 * grants her % bonus movement speed for 3 seconds.
 * grants her 20% + (10% rank) bonus movement speed, which decays over seconds, each time she damages Vitals on enemy champion.
 * grants him 30% bonus movement speed for 2 seconds upon igniting an enemy with this ability or upon destroying a.
 * grants him 35% bonus movement speed for seconds.
 * passively grants him % bonus movement speed that decays over 3 seconds, upon landing a 3rd basic attack or damaging ability on the same target as . He gets this same speed bonus whenever he transforms back into from.
 * grants him bonus movement speed for 4 seconds, beginning at 25% and increasing to 75% over 3 seconds.
 * increases the movement speed of nearby allied champions moving towards her by 8%.
 * , when the ability is not on cooldown, passively grants her % bonus movement speed.
 * deploys an Acceleration Gate for 4 seconds, granting % bonus movement speed that decays over 3 seconds, to all allies who pass through it.
 * grant him 10% for 2 seconds whenever he procs a.
 * grants her 175% bonus movement speed that decays over 4 seconds when a champion or tower that has dealt damage to within the last 3 seconds is killed or destroyed.
 * grants her or an ally % bonus movement speed for seconds.
 * grants all nearby allies within a 600–range % bonus movement speed for seconds.
 * grants her % bonus movement speed for 1 second if she hits an enemy champion with this ability.
 * grants her or an allied champion % bonus movement speed for 3 seconds.
 * grants him 40% bonus movement speed for 1 second. This can be cast a second time within 15 seconds.
 * grants him 40% bonus movement speed for 2 seconds. This can be cast 2 additional times within 15 seconds.
 * grants her or an allied champion 30% bonus movement speed for  seconds.
 * steals % of the target's movement speed for 4 seconds.
 * grants her 10% bonus movement speed for 2 seconds when moving through brush, increased to 30% if she is moving toward a visible enemy champion within a 5500–range.
 * grants him % bonus movement speed while in the trail made by the ability or left by enemy champions hit by it.
 * grants him and the target ally % bonus movement speed for 12 seconds.
 * grants him % bonus movement speed while moving toward enemies for the first second of the buff.
 * grants her and her allies % bonus movement speed while moving in the electric field that the ability has left, the movement speed bonus decays over 2 second after leaving the field.
 * grants her % bonus movement speed for seconds.
 * passively grants her bonus movement speed for 3 seconds when she attacks a target marked as Vulnerable by.
 * turns stealth for /  seconds or until  damages an enemy. While stealthed, he gains  /  bonus movement speed while moving toward an enemy champion.
 * grants him % bonus movement speed for 1 second. When in the Danger Zone, this amount is increased to % bonus movement speed for 1 second.
 * grants her % bonus movement speed for 3 to 7 seconds, this bonus movement speed decays by % each second.
 * (only usable during ) grants him 50% bonus movement speed that decays over 1.5 seconds.
 * rallies her allies for 8 seconds, granting them 60% bonus movement speed bonus that decays 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.
 * grants her % bonus movement speed for 3 seconds, extended to up to 7 seconds if she doesn't take damage. Taking damage will cancel the extended duration.
 * – Aura: Allied champions tagged with aura gain %  movement speed for 3 seconds.
 * grants her 70% bonus movement speed while moving towards allied champions below.
 * grants him 40% bonus movement speed for seconds.
 * passively grants him % bonus movement speed if he hasn't taken damage from enemy champions or turrets for 5 seconds. While activated, this ability grants % bonus movement speed for 3 seconds and prevents the bonus from being disabled by damage.
 * coats an area with ice for 8 seconds, granting % bonus movement speed while on it.
 * grants him 20% bonus movement speed while stealthed, for a maximum duration of seconds.
 * grants him % bonus movement speed for seconds.
 * grants him 30% bonus movement speed for seconds.
 * grants him % bonus movement speed which decays exponentially for 1 second.
 * grants him 15% bonus movement speed for 4 seconds. The bonus increases to % if he is moving towards a nearby visible enemy champion.
 * grants him % bonus movement speed when he senses enemy champions within a –range of him.
 * grants him 5% bonus movement speed bonus every half second, up to a maximum of 40% bonus movement speed.
 * grants him and his Mist Walkers 20% bonus movement speed when moving toward targets marked by the ability.
 * grants him 20% movement speed which increases up to 50% over the duration of the ability.
 * grants him or an ally % bonus movement speed for  seconds.

Summoner spells

 * grants bonus movement speed and makes your champion ignore unit collision for 10 seconds.

Masteries

 * grants % movement speed when out of combat.

Neutral Buffs

 * Visiting the shop on Summoner's Rift starting at 20 minutes in game grants 75% bonus movement speed that decays over 7 seconds, scaling up to 150% at 40 minutes.
 * The Speed Shrine buff on Dominion grants 30% bonus 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. Movement speed obtained thanks to the formula is still affected by movement speed caps (see above).

Champions

 * creates a directional draft for 5 seconds, granting % bonus movement speed to all allies passing through it.
 * grants him 100% bonus movement speed for 2 seconds.
 * grants him % bonus movement speed for 7 seconds, reset to 7 seconds for every champion takedown.
 * grants him 20% bonus movement speed each second, up to a maximum 140% bonus movement speed after 7 seconds.
 * grants % bonus movement speed. Taking damage from champions or turrets, or suffering immobilizing crowd control while is channeling or active ends it immediately, and puts it on cooldown. All other damage instead briefly slows Quinn and Valor. Upon dealing damage or activating, the effects of end.

Summoner spells

 * grants you and target ally 30% bonus movement speed for 1 second.

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.

Old slow stacking
'''Since patch 5.13 only slow with the highest value is affecting. All additional slows are ignored.'''

Prior to patch 5.13 slow stacked:

Slowing effects followed particular rules when stacking:


 * If a champion was affected by multiple slows, the strongest one would be fully applied, while the others were 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 did NOT stack, even when coming from different champions. Only the strongest item slow was applied at any moment. The exception to this was the active effect of, , and , which stacked with other slowing items normally, because they were considered champion abilities for slow stacking purposes.


 * Attacking a champion with the buff when the target was already affected by that slow would reapply the debuff, resetting its duration. It would NOT increase the slow amount. The same holded true for the  summoner spell.

Example
A champion with a raw movement speed of 400 was 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 would have (1)(1) of his original movement speed (a effective slow). So he would have 400 raw movement speed.


 * For the following three seconds, the effective slow would be 20% and so he would have 400320 movement speed.


 * After that, he would return to his normal speed of 400.

Trivia
Last updated: 15 September, 2016 on patch V6.18


 * What may be the highest movement speed attainable is , being a level 18.


 * Base stats: +335 movement speed
 * Runes:
 * 3 (+3% movement speed})
 * Masteries:
 * 5 points in (+3% movement speed out of combat)
 * 1 point in (+15 flat movement speed)
 * Items:
 * 1 activated (+50% total movement speed)
 * 1 activated (+75% movement speed)
 * 1 activated (+20% movement speed)
 * 1 (+115 flat movement speed)
 * 1 (+12% movement speed)
 * 1 (+10% movement speed)
 * Buffs:
 * (+140% total movement speed, after 7 seconds)
 * (+50% total movement speed)
 * activated by (+40% movement speed)
 * equipped on to buff  AP.
 * to proc (+ flat movement speed)
 * (+% movement speed)
 * (+% movement speed)
 * (+150% movement speed, after the 40-minute mark)
 * (+30% total movement speed)
 * (+45% movement speed)
 * (+ flat movement speed)
 * Relevant mathematics:


 * AP:
 * Items
 * Runes
 * Mast. & Buffs
 * AP Amplification
 * AP(105)
 * bonus120
 * bonus120
 * bonus flat movement speed


 * AP:
 * Items
 * Runes
 * Mast. & Buffs
 * AP Amplification
 * AP(105)
 * bonus30%
 * bonus30%
 * bonus movement speed


 * AP:
 * Items
 * Runes
 * Mast. & Buffs
 * AP Amplification
 * AP(105)
 * bonus30%
 * bonus30%
 * bonus movement speed


 * movement speed:
 * Base335
 * Items115 flat + 117% movement speed
 * Runes% movement speed
 * Mast. & Buffs flat + movement speed
 * Movespeed Amplification602% total movement speed
 * Movement Speed(335(1)) movement speed before soft caps


 * Movement Speed(490)(490415)415 movement speed
 * Movement Speed(490)(490415)415 movement speed

Infinite MS-Theory
There is a theory that allow 2 players, one from each team, to reach infinite amount of movement speed. It require the same set-up as seen just before, twice, each per team, but with a replacing the. The theory is simple: speeds up Malphite 1, and as soon as he reaches his highest amount Malphite 2 steals Malphite 1 movement speed with, and get speeds up by. Then as soon as he reaches his highest amount Malphite 1 steals Malphite 2 movement speed with and get speeds up by. Repeat the operation an infinite amount of time and in the end Malphite 1 or Malphite 2 will have an infinite amount of movement speed. As seen in this video.