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 625 game distance units).

Each champion begins the game with a particular base movement speed, ranging from 300 to  330 units per second.

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 Speed + Flat Movement Bonuses) × Percentage Movement Bonuses × Slow Ratio

Diminishing returns are then applied to the result.

Movement speed bonuses
Flat bonuses are applied first, then percent bonuses, then slows, then diminishing returns. Most bonuses and slows are given as percentages. The exceptions are:
 * Boots.
 * The passive aura on.
 * The passive aura on.
 * The passive aura on.
 * The passive aura on.

Remember that 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. 300 × 1.2 × 0.8 = 288).

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 (600 &minus; 490) &times; 0.5 + (490 &minus; 415) &times; 0.8 + 415 = 530, which means an 11.7% 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 RawMS &times; 0.8 + 83.
 * If the raw speed is above 490, final speed is soft capped to RawMS &times; 0.5 + 230.

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 180 × 0.5 + 110 = 200.

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 a 65% reduced effectiveness.
 * Slow effects derived from items' passives 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, the effective slow will be 1 &minus; (1 &minus; 0.4) &times; (1 &minus; 0.2 &times; 0.65) = 47.8%, so he will have 400 &times; 0.522 = 208.8 raw movement speed.
 * For the following three seconds, the effective slow will be 20% and so he will have 400 &times; 0.8 = 320 movement speed.
 * After that, he will return to his normal speed of 400.

Heightening movement speed
Purchasing boots from the store grants a champion a flat increase in movement speed. The effect given by boots is called Enhanced Movement and is unique, which means that if a champion has multiple pairs of boots, they will only receive the highest Enhanced Movement bonus. The bonus from boots is quite big compared to their cost and they are essential for all champions.


 * Enhanced Movement 1 increases the base movement speed of a champion by 50.
 * Enhanced Movement 2 increases the base movement speed of a champion by 70.
 * Enhanced Movement 3 increases the base movement speed of a champion by 90.
 * Enhanced Movement 5 increases the base movement speed of a champion by 130.

Enhanced Movement gives 20 movement speed per rank plus a flat 30 movement speed. As such, basic boots have a higher speed/cost ratio than upgraded boots.

In addition, some champions have abilities that increase their movement speed by a flat amount.

Boots
This is a complete list of boots, ordered by cost:

The bonus given by boots is a flat increase to the champion's base movement speed, meaning that it will increase the effectiveness of percentage bonuses.

Flat increase

 * passively grants her an additional 25 movement speed after not taking any damage for 7 or more seconds, increasing by 4 each second up to 70 maximum bonus speed.
 * passively grants her 20 movement speed while she is in cougar form.
 * grants him 35 / 50 / 65 flat movement speed for 25 seconds.
 * grants nearby allied champions 8 / 11 / 14 / 17 / 20 flat movement speed. On activation, it grants an additional 6 / 8 / 10 / 12 / 14 % movement speed bonus for 1.5 seconds.
 * gains 40 flat movement speed when moving towards an enemy champion. After activating she gains 120 movement speed for 8 / 10 / 12 seconds when moving towards an enemy champion instead.

Other items
These items increase the movement speed of a champion by a percentage of their base move speed (ordered by movement speed increase).

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 16 / 20 / 24 / 28 / 32 % increased movement for 8 seconds.
 * grants her 15 /17.5 / 20 / 22.5 / 25 % increased movement for three seconds if she hits a champion with the ability.
 * grants him 15 / 25 / 35 % extra movement speed for 12 seconds.
 * grants her and 20 / 25 / 30 % movement speed for 10 seconds.
 * creates a directional draft for 5 seconds which increases the movement speed of allies passing through it by 20 / 25 / 30 / 35 / 40 %.
 * grants him 3 / 4 / 5 / 6 / 7 % movement speed passively. He can also activate this ability to increase his movement speed by 10 / 14 / 18 / 22 / 26 % instead, also increasing nearby allied champions' movement speed by half of that amount for the duration.
 * grants him 15 / 20 / 25 / 30 / 35 % increased movement for 4 seconds.
 * increases the movement speed of all allied champions by 3 % while she's alive.
 * passively increases her movement speed by 8 / 10 / 12 / 14 / 16 % and enables her to pass through units. This bonus is lost while the ability is in cooldown.
 * creates a beam between her and an ally or enemy for up to 5 seconds. Allied anchors move 10 / 12 / 14 / 16 / 18 / 20 % faster and enemy anchors are slowed by 10 / 12 / 14 / 16 / 18 / 20 % . The beam also applies the same movement speed adjustment anchors receive to any champion it passes through for 3 seconds (depending on wether they are allies or enemies). The beam breaks if the bonded target is stealthed or if they walk too far away from Karma. If a charge is used on the ability, then all movement speed modifiers are doubled.
 * increases an allied champion's movement speed by 15 / 17 / 19 / 21 / 23 % for 2.5 seconds.
 * grants his base movement speed again to him as a flat movement speed bonus, and the ability to move through units for 4 seconds. The flat bonus is applied after any other movement speed bonuses.
 * steals 14 / 17 / 20 / 23 / 26 % movement speed from the target as a flat movement speed bonus for 4 seconds. The flat bonus is applied after any other movement speed bonuses.
 * increases his movespeed by 40 % for 6 / 9 / 12 seconds.
 * grants her 15% movement speed for 2 seconds when moving through brush.
 * increases his movement speed by 15 / 20 / 25 / 30 / 35 % while in the trail made by the ability or left by enemy champions hit by it.
 * grants himself and the target allied unit 11 / 12.5 / 13 / 14.5 / 15 % increased movement speed for 15 seconds.
 * leaves an electric field on the area for 3 seconds. The field speeds up allies and slows enemies by 20 / 25 / 30 / 35 / 40 % that walk over it. This effect diminishes to normal over 2 seconds after leaving the area.
 * grants her 17 / 19 / 21 / 23 / 25 % increased movement speed for 5 seconds when activated.
 * grants him an increasing bonus to movement speed while active.
 * grants him 10 / 15 / 20 / 25 / 30 % increased movement speed for 1 second. When in the "Danger Zone", this amount is increased by 30%.
 * grants her and nearby allies 25 % extra movement speed for 15 seconds.
 * grants him an absorption shield for up to 6 seconds and 15 / 17 / 19 / 21 / 23 % extra movement speed for as long as the shield remains.
 * will stealth him for 2.5 seconds and give him 40 % increased movement speed.
 * increases his movement speed by 10 / 14 / 18 / 22 / 26 % until he is struck by a champion or a turret. He can activate it to gain double the passive, for 3 seconds, which will not be lost even if he is hit.
 * infects a target location with his curse for 8 seconds, granting him 20 / 25 / 30 / 35 / 40 % movement speed while on it.
 * grants him 15 / 18 / 21 / 24 / 27 % increased movement speed for 2 / 2.5 / 3 / 3.5 / 4 seconds upon activation.
 * senses enemy champions under 50 % life within 1500 / 2300 / 3100 / 3900 / 4700 distance of him; while he detects a low-health enemy, he gains 20 / 25 / 30 / 35 / 40 % increased movement speed.
 * 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.
 * : upon deactivation, Xerath gains 35 % movement speed for 2 seconds.
 * summons a ghoul, which when alive (max duration is 5 seconds) grants Yorick 15 / 20 / 25 / 30 / 35 % increased movement speed.
 * increases an allied champion's movement speed by 55% for 2.5 / 3.25 / 4 / 4.75 / 5.5 seconds.

Summoner spells

 * allows your champion to ignore unit collision and move 27% faster for 10 seconds.
 * revives your champion instantly at the spawning pool and increases movement speed by 225%, diminishing to normal over 12 seconds.

Masteries

 * mastery increases the movement speed of your spell by 6% and its duration by 1.5 seconds.
 * increases your movement speed by 10% for 5 seconds after dodging an attack.
 * increases your base movement speed by 1 / 2 / 3%. (Note: Despite the description, this doesn't affect base movement speed and simply works like other percentage bonuses.)

Runes

 * runes increase movement speed.
 * Quintessence of the Speedy Specter runes increase movement speed by 1.39% each. (Tier 2.5)

Neutral Buffs

 * The buff grants 30% increased movement speed.

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