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

Each champion begins the game with a base amount of movement speed that ranges from 320 (Janna Janna) to 355 (e.g PantheonSquare Pantheon). The base amount of movement speed a champion can have ranges from 285 (Kled Kled 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

Just tested on Nocturne's Nocturne's Duskbringer Duskbringer both with and without Boots of Speed Boots of Speed and the difference was 25 movement speed (409 versus 434). This would imply that % bonus movement speed doesn't affect flat bonus movement speed, as is stated in the article. Emptylord (talk) 15:25, December 12, 2017 (UTC)
I also tested it and it did work with bonus ms. I think Emptylord just didn't take in account the 415 ms cap below. Though i do agree the champions' ms list should be updated because many more people could've made the same mistake when taking the ms values. --Neazta (talk) 15:39, December 13, 2017 (UTC)

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 + any Multiplicative MS 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, 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 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 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.

Slow Resist

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

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.

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.

Items

Boots

Others

Champion abilities

Runes

Neutral buffs

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.

Items

Item Cost Amount Availability

Champion abilities

Summoner spells

Runes

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).

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

Last updated for patch V7.20

Champion Movement Speed
Kled Kled (Unmounted) 285
Janna Janna 320
AniviaSquare Anivia, AsheSquare Ashe, Aurelion Sol Aurelion Sol, Blitzcrank Blitzcrank, Caitlyn Caitlyn, Corki Corki, Elise Elise, EzrealSquare Ezreal, Mega Gnar Mega Gnar, Ivern Ivern, Jinx Jinx, KalistaSquare Kalista, Kindred Kindred, Kog'Maw Kog'Maw, LissandraSquare Lissandra, Miss Fortune Miss Fortune, MordekaiserSquare Mordekaiser, Nautilus Nautilus, Orianna Orianna, SonaSquare Sona, SorakaSquare Soraka, Taliyah Taliyah, Tristana Tristana, Xayah Xayah, Ziggs Ziggs 325
AhriSquare Ahri, AlistarSquare Alistar, BardSquare Bard, Draven Draven, Gragas Gragas, Jhin Jhin, Lulu Lulu, Lux Lux, Syndra Syndra, TeemoSquare Teemo, Twitch Twitch, Urgot Urgot, Varus Varus, Vayne Vayne, VladimirSquare Vladimir 330
Cassiopeia Cassiopeia (at level 1) 332
AmumuSquare Amumu, AnnieSquare Annie, AzirSquare Azir, BraumSquare Braum, Evelynn Evelynn, Fiddlesticks Fiddlesticks, Fizz Fizz, Galio Galio, GnarSquare Mini Gnar (at level 1), Jayce Jayce, Karma Karma, Karthus Karthus, Kayle Kayle, Kennen Kennen, Leona Leona, Lucian Lucian, Malphite Malphite, Malzahar Malzahar, Maokai Maokai, Morgana Morgana, Nami Nami, Nidalee Nidalee, Ornn Ornn, Quinn Quinn, Rakan Rakan, Rammus Rammus, Rek'SaiSquare Rek'Sai, SivirSquare Sivir, Skarner Skarner, Swain Swain, Tahm KenchSquare Tahm Kench, Talon Talon, Thresh Thresh, Twisted Fate Twisted Fate, Viktor Viktor, Warwick Warwick, Zilean Zilean 335
Brand Brand, Camille Camille, Darius Darius, EkkoSquare Ekko, Garen Garen, Graves Graves, HeimerdingerSquare Heimerdinger, Illaoi Illaoi, Jarvan IV Jarvan IV, Kassadin Kassadin, Katarina Katarina, Kayn KaynLeBlanc LeBlanc, Riven Riven, Ryze Ryze, Sejuani Sejuani, Shen Shen, Taric Taric, Veigar Veigar, Vel'Koz Vel'Koz, Vi Vi, XerathSquare Xerath, Yorick Yorick, ZacSquare Zac, Zyra Zyra 340
AatroxSquare AatroxCho'Gath Cho'Gath, Diana Diana, Dr. MundoSquare Dr. Mundo, Fiora Fiora, Gangplank Gangplank, Hecarim Hecarim, IreliaSquare Irelia, Kled Kled (Mounted), Lee Sin Lee Sin, Nocturne Nocturne, Nunu Nunu, Poppy Poppy, Renekton Renekton, Rengar Rengar, Rumble Rumble, Singed Singed, Sion Sion, Tryndamere Tryndamere, Udyr Udyr, Volibear Volibear, Wukong Wukong, Xin Zhao Xin Zhao, YasuoSquare Yasuo, Zed Zed 345
AkaliSquare Akali, Elise Elise (Spider Form), Jax Jax, Kha'Zix Kha'Zix, Nasus Nasus, Olaf Olaf, Shaco Shaco, Shyvana Shyvana, Trundle Trundle 350
GnarSquare Mini Gnar (at level 18), Master Yi Master Yi, PantheonSquare Pantheon 355
Cassiopeia Cassiopeia (at level 18) 400

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.

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

Last updated: November 21, 2017, patch V7.23

  • Soft caps:
    • Rammus' Rammus' Movement Speed = 92869.91086 × 0.5 + 230 = 464579.5543 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