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Movement speed

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Movement speed icon Movement speed (also Move speed), or Movement speed icon MS, is a stat that represents the rate at which an entity travels across the map. One point of movement speed translates to one game-distance unit traveled per second (as a frame of reference, Teemo's Teemo's hat is circa 100 game-distance units in diameter). For example, a champion with 300 movement speed will be able to walk the distance of three Teemos Teemos standing hat-to-hat next to one another in one second.

Each champion begins the game with a base amount of movement speed that ranges strictly from 325 (e.g. Janna Janna) to 355 (e.g. Master Yi Master Yi). Some effects innately decrease or increase certain champions' own movement speed, such as Kled Kled with 285 movement speed while dismounted dismounted or Cassiopeia Cassiopeia with 400 movement speed at level 18 due to her innate ability innate ability. For a list of all champions' base movement speed, see List of champions/Movement speed.

This base movement speed can be increased by flat bonuses and percentage bonuses, or reduced by slows. These increases or decreases can be sourced from champion abilities, items, summoner spells, runes, and environmental buffs.

Calculations[]

A champion's total 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)

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 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 (Raw MS) × 0.8 + 83.
  • If the raw speed is above 490, final speed is soft capped to (Raw MS) × 0.5 + 230.

When the raw movement speed is less than 220 another two soft caps are used:

  • If the raw speed is below 220, final speed is increased to 110 + (Raw MS) × 0.5.
  • If the raw speed is below 0, final speed is increased to 110 + (Raw MS) × 0.01.
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.
Example 3: If the calculated raw speed is -10000 before soft caps kick in, it is increased to -10000 × 0.01 + 110 = 10.

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

Slow Resist[]

Main article: Slow resist
Slow Resist is a statistic that reduces the strength of Slow icon 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.

Simple Example[]

Last updated: December 13th, 2021, patch V11.24.

Consider the following situation. Nocturne Nocturne has Boots of Swiftness Boots of Swiftness, Mercurial Scimitar Mercurial Scimitar, Winged Moonplate Winged Moonplate, and Predator Predator. To calculate Nocturne's Nocturne's total movement speed when affected by all item actives, Duskbringer Duskbringer, and Singed's Singed's Mega Adhesive Mega Adhesive,

  1. Start with the base movement speed. Nocturne Nocturne has 345 base movement speed.
    345
  2. Apply flat movement speed bonuses. +60 flat movement speed bonus from Boots of Swiftness Boots of Swiftness.
    345 + 60 60 = 405
  3. Apply additive movement speed bonuses. +5% additive movement speed bonus from Winged Moonplate Winged Moonplate and +45% additive movement speed bonus from Predator Predator.
    405 × (1 + (0 0.05 + 0 0.45)) = 405 × 1.5 = 607.5
  4. Apply multiplicative movement speed bonuses. +35% multiplicative movement speed bonus from Duskbringer Duskbringer and +50% multiplicative movement speed bonus from Mercurial Scimitar Mercurial Scimitar.
    607.5 × (1 + 0 0.35) × (1 + 0 0.5) = 607.5 × 2.025 = 1230.1875
  5. Apply movement speed slows (affected by slow resists). +60% slow from Singed's Singed's Mega Adhesive Mega Adhesive and +25% slow resist from Boots of Swiftness Boots of Swiftness.
    1230.1875 × (1 − (0 0.6 × (1 − 0 0.25))) = 1230.1875 × 0.55 = 676.603125
  6. Apply soft movement speed caps. 676.603125 is greater than 490.
    676.603125 × 0.5 + 230 = 568.3015625

The resulting total movement speed is 568.3015625.

Movement speed as scaling[]

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

Items[]

Movement abilities[]

Note: This list is incomplete

Other[]

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. 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 Gold45Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Boots Boots300 300 Gold25Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Boots of Swiftness Boots of Swiftness1000 1000 Gold60Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Ghostcrawlers Ghostcrawlers500 500 Gold55Arena
Ionian Boots of Lucidity Ionian Boots of Lucidity900 900 Gold45Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Mercury's Treads Mercury's Treads1300 1300 Gold45Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Plated Steelcaps Plated Steelcaps1200 1200 Gold45Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Slightly Magical Boots Slightly Magical Boots0 0 Gold25Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Sorcerer's Shoes Sorcerer's Shoes1100 1100 Gold45Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Symbiotic Soles Symbiotic Soles900 900 Gold35Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Synchronized Souls Synchronized Souls900 900 Gold45Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Zephyr Zephyr3100 3100 Gold45Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid

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 stack additively with other sources of percentage movement speed, unless the bonus movement speed is one of the few exceptions that Multiple stacking icon 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 83 83.75 per point.

Items[]

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

ItemCostAmountAvailability
Aether Wisp Aether Wisp900 900 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Ardent Censer Ardent Censer2200 2200 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Cosmic Drive Cosmic Drive3000 3000 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Darksteel Talons Darksteel Talons0 0 Gold10%Arena
Dead Man's Plate Dead Man's Plate2900 2900 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Decapitator Decapitator0 0 Gold12%Arena
Force of Nature Force of Nature2800 2800 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Fulmination Fulmination0 0 Gold15%Arena
Galeforce Galeforce0 0 Gold12%Arena
Gambler's Blade Gambler's Blade0 0 Gold8%Arena
Gargoyle Stoneplate Gargoyle Stoneplate0 0 Gold10%Arena
Hullbreaker Hullbreaker3000 3000 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Kraken Slayer Kraken Slayer3100 3100 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Lich Bane Lich Bane3200 3200 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Lightning Rod Lightning Rod0 0 Gold8%Arena
Mirage Blade Mirage Blade0 0 Gold12%Arena
Navori Flickerblade Navori Flickerblade2650 2650 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Opportunity Opportunity2700 2700 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Perplexity Perplexity2500 2500 Gold5%Arena
Phantom Dancer Phantom Dancer2650 2650 Gold8%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Rapid Firecannon Rapid Firecannon2650 2650 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Reaper's Toll Reaper's Toll0 0 Gold10%Arena
Rectrix Rectrix775 775 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Regicide Regicide0 0 Gold8%Arena
Runaan's Hurricane Runaan's Hurricane2650 2650 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Runecarver Runecarver0 0 Gold8%Arena
Shurelya's Battlesong Shurelya's Battlesong2200 2200 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Statikk Shiv Statikk Shiv2900 2900 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Stormsurge Stormsurge2900 2900 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Talisman of Ascension Talisman of Ascension0 0 Gold0%Arena
The Golden Spatula The Golden Spatula0 0 Gold10%Arena
Trailblazer Trailblazer2400 2400 Gold4%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
Turbo Chemtank Turbo Chemtank0 0 Gold15%Arena
Warmog's Armor Warmog's Armor3300 3300 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Winged Moonplate Winged Moonplate800 800 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid
Zeal Zeal1200 1200 Gold4%Nexus Blitz, Classic Summoner's Rift 5v5, All Random All Mid

Item actives and passives[]

Champion abilities[]

Ally and/or User-targeted[]

User only[]

Summoner spells[]

Runes[]

Neutral Buffs[]

Other[]

Multiplicative speed boosts[]

Most speed boosts Additive stacking icon stack additively, but a select few Multiple stacking icon 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[]

Runes[]

Summoner spells[]

Other[]

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 Types of Crowd Control/Sources#Slow.

Base movement speeds by champion[]

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

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 held 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.
LoL_-_Movement_Speed_&_Slows

Trivia[]

  • The old stat icon for Stat icon movement speed 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 67.5%* + 55 55 + 15% 15% + 10 10 = 65 flat movement speed + 82.5% bonus movement speed
    • Buffs = 800 800.896 + 175 175.034% + 115 115.531% + 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 3.35 × 1 1.5 × 1 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[]

League of Legends icon nav League of Legends Wiki | Lists of champions
Champions by base statistic All base statistics (at level 1 · growth coefficients · at level 18) · Armor · Attack damage · Attack speed · Basic attack properties · Health · Health regeneration · Magic resistance · Mana · Mana regeneration · Movement speed
Champions by class Controller · Fighter · Mage · Marksman · Slayer · Tank
Lists by skins Skins by skin name · Skins by champion name · Skins by collection · Skins by calendar event · Legacy Vault skins · Prestige skins
Other lists of champions Champions with client ratings · Champions by draft position · Champions by price reduction · Champions by rework
Champion statistics
Offensive Ability power icon Ability power · Attack damage icon Attack damage · Attack speed icon Attack speed · Critical strike chance icon Critical strike chance · Critical strike damage icon Critical strike damage · Armor penetration icon Armor penetration · Magic penetration icon Magic penetration · Life steal icon Life steal · Omnivamp icon Omnivamp · Life steal icon Physical vamp · Hybrid penetration icon True damage
Defensive Heal and shield power icon Heal and shield power · Health icon Health · Health regeneration icon Health regeneration · Armor icon Armor · Magic resistance icon Magic resistance · Tenacity icon Tenacity · Slow immune icon Slow resist
Utility Cooldown reduction icon Ability haste · Energy icon Energy · Energy regeneration icon Energy regeneration · Mana icon Mana · Mana regeneration icon Mana regeneration Movement speed icon Movement speed · Range icon Range
Other Experience icon Experience · Gold icon Gold generation

References[]

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