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Movement speed icon.png 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, Teemo's Teemo's diameter is 100 units). For example, a champion with 300 movement speed will be able to walk three Teemos Teemos in one second.

Each champion has a collision radius that determines their ability to path around units and for units to path around them. The smaller the collision radius, the easier it is for them for move through units without getting blocked. The collision radius is different from the radius for getting hit by skillshots.

Each champion begins the game with a base amount of movement speed that ranges from 315 (Janna Janna) to 355 (e.g. Master Yi Master Yi). The base amount of movement speed a champion can have ranges from 250 (Rell Rell while unmounted) to 400 (Cassiopeia Cassiopeia at level 18). 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, runes and environmental buffs.

Calculations

A champion's movement speed is given by the following formula:

(Base MS + Flat MS bonuses) × (1 + Sum of all Additive Percent MS bonuses) × (1 - Highest Slow ratio) × Product of (1 + each Multiplicative Movement Speed bonus)
  • "MS" is an abbreviation for Movement Speed

Add any flat bonuses to the champion's base movement speed; the total flat movement speed will be the baseline for the percentage bonuses. Add all additive percentage bonuses together, add 100% to the result, and multiply it with the total flat movement speed. Then, if applicable, apply the slow reduction and any special multiplicative bonuses (Heal, Mercurial Scimitar, and certain champion abilities) one at a time. If the result is over 415 or under 220 movement speed, apply soft caps as described below.

Movement speed caps

When the raw movement speed is greater than 415, there are two soft caps applied:

  • The raw speed between 415 and 490 gets multiplied by 80%.
  • The raw speed over 490 gets multiplied by 50%.

The two ranges have their reductions applied at the same time before being added back together.

As an example, if the calculated raw speed is 600 before soft caps kick in, it is reduced to (600 − 490) × 0.5 + (490 − 415) × 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 lower, no cap is applied.
  • If the raw speed is between 415 and 490, final speed is soft capped to RawMS × 0.8 + 83.
  • If the raw speed is above 490, final speed is soft capped to RawMS × 0.5 + 230.

When the raw movement speed is less than 220 another soft cap is used:

  • If the raw speed is below 220, final speed is changed to RawMS × 0.5 + 110.
Example 1: If the calculated raw speed is 180 before soft caps kick in, it is increased to 180 × 0.5 + 110 = 200.
Example 2: If the calculated raw speed is 0 before soft caps kick in, it is increased to 0 × 0.5 + 110 = 110.

Only the slow with the highest value is taken into movement speed calculations. All additional slows are ignored until the higher-valued slow wears off.

Slow Resist

Slow Resist is a statistic that reduces the effectiveness of Slow icon.png slows by a percentage.

Example: 50% Slow Resist reduces a 40% Slow to a 20% Slow. If it would normally reduce e.g. 400 raw speed to 400 − (1 − 0.4) = 240 raw speed, because of the Slow Resist it reduces 400 raw speed to 400 − (1 − 0.4 × (1 − 0.5)) = 320 raw speed. If the resulting raw values were beyond the soft cap thresholds, they would each be adjusted as usual.

Movement speed as scaling

These use the champion's personal movement speed to increase the magnitude of the ability. By building movement speed items or casting spells you can receive more benefit and power from these abilities in most situations.

Movement abilities

Note: This list is incomplete

Other abilities

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. Movement speed boosts from boots are unique passives, hence the bonuses from multiple pairs of boots do not stack. The bonus from boots is quite big compared to their cost and is essential for all champions.

Gold Value ​​​​​​​​​

  • Flat movement speed has a gold value of 12 Gold 12 per point.

Items

This table is automatically generated based on the data from Module:ItemData/data.

ItemCostAmountAvailability
Berserker's Greaves Berserker's Greaves1100 1100 Gold45All maps
Boots Boots300 300 Gold25All maps
Boots of Swiftness Boots of Swiftness900 900 Gold60All maps
Ionian Boots of Lucidity Ionian Boots of Lucidity950 950 Gold45All maps
Mercury's Treads Mercury's Treads1100 1100 Gold45All maps
Mobility Boots Mobility Boots1000 1000 Gold115All maps
Plated Steelcaps Plated Steelcaps1100 1100 Gold45All maps
Slightly Magical Boots Slightly Magical Boots0 0 Gold25All maps
Sorcerer's Shoes Sorcerer's Shoes1100 1100 Gold45All maps

Item passives

Champion abilities

Runes

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 Additive stacking icon.png stack additively with other sources of percentage movement speed, unless the bonus movement speed is one of the few exceptions that Multiple stacking icon.png stack multiplicatively.

All percentage bonuses from the items listed below stack additively with one another.

Gold Value ​​​​​​​​​​​

  • Percent movement speed has a gold value of 39.5 Gold 39.5 per point.

Items

This table is automatically generated based on the data from Module:ItemData/data.

ItemCostAmountAvailability
Berserker's Greaves Berserker's Greaves1100 1100 Gold45All maps
Boots Boots300 300 Gold25All maps
Boots of Swiftness Boots of Swiftness900 900 Gold60All maps
Dead Man's Plate Dead Man's Plate2900 2900 Gold5%All maps
Force of Nature Force of Nature2900 2900 Gold5%All maps
Ionian Boots of Lucidity Ionian Boots of Lucidity950 950 Gold45All maps
Lich Bane Lich Bane3000 3000 Gold8%All maps
Mercury's Treads Mercury's Treads1100 1100 Gold45All maps
Mobility Boots Mobility Boots1000 1000 Gold115All maps
Mortal Reminder Mortal Reminder2500 2500 Gold7%All maps
Phantom Dancer Phantom Dancer2600 2600 Gold7%All maps
Plated Steelcaps Plated Steelcaps1100 1100 Gold45All maps
Rapid Firecannon Rapid Firecannon2500 2500 Gold7%All maps
Runaan's Hurricane Runaan's Hurricane2600 2600 Gold7%All maps
Slightly Magical Boots Slightly Magical Boots0 0 Gold25All maps
Sorcerer's Shoes Sorcerer's Shoes1100 1100 Gold45All maps

Item actives and passives

Champion abilities

Ally and/or User-targeted

User only

Summoner spells

Runes

Neutral Buffs

  • Cloud Dragon Soul Cloud Dragon Soul
  • 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.
    • With Hand of Baron Hand of Baron, the bonus becomes 125% and 200% respectively.

Multiplicative speed boosts

Most speed boosts Additive stacking icon.png stack additively, but a select few Multiple stacking icon.png stack multiplicatively with other speed boosts. These do not stack additionally with other percentage movement speed bonus, but rather multiply the total movement speed 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).

Items

Champions

Summoner spells

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.

Base movement speeds by champion

Movement SpeedChampion
400
355
350
345
340
335
332
330
325
315
285
250

Old slow stacking

Since patch V5.13 only slow with the highest value is affecting. All additional slows are ignored.

Prior to patch V5.13 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 Randuin's Omen Randuin's Omen which stacked with other slowing items normally, because they were considered champion abilities for slow stacking purposes.
  • Attacking a champion with the Crest of Cinders Crest of Cinders 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 Exhaust Exhaust 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 − 0.4) × (1 − 0.2 × 0.35) = 0.6 × 0.93 = 55.8% of his original movement speed (a 44.2% effective slow). So he would have 400 × 0.558 = 223.2 raw movement speed.
  • For the following three seconds, the effective slow would be 20% and so he would have 400 × 0.8 = 320 movement speed.
  • After that, he would return to his normal speed of 400.

Trivia

  • The old stat icon for Stat icon movement speed.jpg movement speed was an edited version of the icon of Boots of Speed Boots of Speed.

Last updated: January 8th, 2020, patch V10.1

  • Rammus' Rammus' movement speed:
    • Base = 335
    • Items = 115 115 + 75% 75% + (40 + 20%) (40 + 20%) + 60% 60% + 60 60 = 215 flat movement speed + 155% bonus movement speed
    • Runes = 67.5% 67.5%* + 55 55 + 15% 15% + 10 10 = 65 flat movement speed + 82.5% bonus movement speed
    • Buffs = 800.896 800.896 + 175.034% 175.034% + 115.531% 115.531% + 40% 40% + 20% 20% + 99% 99% + 200% 200% + 45% 45% = 800.896 flat movement speed + 694.565% bonus movement speed
    • Total Movement Speed Multiplier = 3.35 3.35 × 1.5 1.5 × 1.3 1.3 = 6.5325
      • Rammus' Rammus' Movement Speed = (215 + 65 + 800.896 + 335) × (1 + 1.55 + 0.825 + 6.94565) × 6.5325 = 95,459.2073 movement speed before soft caps
  • Soft caps:
    • Rammus' Rammus' Movement Speed = 95,459.2073 × 0.5 + 230 = 47,959.6034 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 Malphite Malphite replacing the Rammus Rammus. The theory is simple: Team 1 speeds up Malphite 1, and as soon as he reaches his highest amount Malphite 2 steals Malphite 1 movement speed with Seismic Shard Seismic Shard, and get speeds up by Team 2. Then as soon as he reaches his highest amount Malphite 1 steals Malphite 2 movement speed with Seismic Shard Seismic Shard and get speeds up by Team 1. 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.

See also

References