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Damage Calculator

Formula reference · ARAM Mayhem · vs 100 armor / 50 MR baseline

Build Calculator

Attacker
Lv9
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Target
Lv9
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Item Build

Select an attacker and target to calculate damage

Formula Reference

Physical Damage Pipeline

↗ wiki.leagueoflegends.com/en-us/Damage
Pre-mitigation
Base AD × crit_multiplier
Armor mitigation
damage × 100 / (100 + effectiveArmor)
Effective armor
(targetArmor × (1 − %pen)) − lethalitymin 0

Magic Damage Pipeline

↗ wiki.leagueoflegends.com/en-us/Damage
Pre-mitigation
AP × ability_ratioratio varies per spell
MR mitigation
damage × 100 / (100 + effectiveMR)
Effective MR
(targetMR × (1 − %magic pen)) − flat magic penmin 0

Critical Strike

↗ wiki.leagueoflegends.com/en-us/Critical_strike
Auto-attack crit
2.0 + Σ bonus_crit_damagebase 200% since v26.01
Ability crit
1.45 + Σ bonus_crit_damageJeweled Gauntlet / Vulnerability
Bonus crit stacking
additive between items/augments
Average auto damage
AD × (1 + critChance × (critMod − 1))
Crit chance cap
100%

Damage Amplification

↗ wiki.leagueoflegends.com/en-us/Damage
Stacking rule
multiplicative between all sources
Formula
total = base × Π (1 + amp_i)
Example
20% + 20% = 1.20 × 1.20 = 1.44×not 1.40×

Giant Slayer — scales with target bonus HP (>1750)

Infernal Might — flat AP additive with items, not a multiplier

Armor Penetration Order

↗ wiki.leagueoflegends.com/en-us/Armor_penetration
  1. 1.Flat armor reduction— from abilities (can go below 0)
  2. 2.% armor reduction— e.g. Black Cleaver — stacks multiplicatively
  3. 3.% armor penetration— e.g. Lord Dominik's — multiplicative
  4. 4.Lethality (flat pen)— 1:1 since v14.1, applied last — min 0

Magic Penetration Order

↗ wiki.leagueoflegends.com/en-us/Magic_penetration
  1. 1.Flat MR reduction— from abilities (can go below 0)
  2. 2.% MR reduction— stacks multiplicatively between sources
  3. 3.% magic penetration— e.g. Cryptbloom — multiplicative
  4. 4.Flat magic penetration— e.g. Sorcerer's Shoes — applied last, min 0

Healing: Life steal → basic attacks only. Omnivamp → all damage (33% for AoE/periodic).

Damage Types

↗ wiki.leagueoflegends.com/en-us/Damage

physical — mitigated by armor

magic — mitigated by magic resistance

True — bypasses all resistances; still blocked by shields & invulnerability

Raw — bypasses resistances AND shields; only blocked by invulnerability

Special Interactions

↗ wiki.leagueoflegends.com/en-us/Damage

Jeweled Gauntlet / Vulnerability — abilities crit at 145% base (not 200%). Bonus crit damage additive on top.

True — unaffected by pen or reduction; damage amp DOES apply.

Giant Slayer — bonus damage vs high-HP targets; multiplicative with other amp.

Augment Interactions by Type

Parsed from augment descriptions · 0 augments have damage-relevant effects · sorted by win rate within tier

AD Items · Physical Damage Profile vs 100 Armor

Eff AD = AD × 100/(100+armor) · Crit Hit = Eff AD × (2.0+bonus_crit) · Avg × = weighted by crit chance · Armor pen order: %pen first, then lethality

ItemADCrit%+Crit%LethPen%Eff ADCrit HitAvg ×
Ultra Hydra200——25—114.3228.61.00×
The Golden Spatula9025%———45.090.01.25×
Golden Spatula9015%———45.090.01.15×
Infinity Edge7525%+30%——37.586.31.32×
Ravenous Hydra75————37.575.01.00×
Bloodthirster70————35.070.01.00×
The Bloodthirster70————35.070.01.00×
Hexbolt Companion70————35.070.01.00×
Hemomancer's Helm70————35.070.01.00×
Twilight's Edge70————35.070.01.00×
Voltaic Cyclosword60——20—33.366.71.00×
Prowler's Claw60——20—33.366.71.00×
Galeforce6525%———32.565.01.25×
Regicide60——15—32.464.91.00×
Serylda's Grudge50———45%32.364.51.00×
Youmuu's Ghostblade55——22—30.961.81.00×
Serpent's Fang55——19—30.460.81.00×
Mercurial Scimitar60————30.060.01.00×
Death's Dance60————30.060.01.00×
Maw of Malmortius60————30.060.01.00×
Endless Hunger60————30.060.01.00×
Eclipse60————30.060.01.00×
Spectral Cutlass60————30.060.01.00×
Lord Dominik's Regards4525%——40%28.156.31.25×
Duskblade of Draktharr50——20—27.855.61.00×
Immortal Shieldbow5525%———27.555.01.25×
Hexoptics C445525%———27.555.01.25×
Goredrinker55————27.555.01.00×
Fulmination55————27.555.01.00×
Divine Sunderer55————27.555.01.00×
Guardian Angel55————27.555.01.00×
Profane Hydra50——18—27.554.91.00×
Hubris50——18—27.554.91.00×
Opportunity50——15—27.054.11.00×
The Collector5025%—10—26.352.61.25×
Essence Reaver5025%———25.050.01.25×
Stormrazor5025%———25.050.01.25×
Kraken Slayer50————25.050.01.00×
The Black Cleaver50————25.050.01.00×
Axiom Arc45——18—24.749.51.00×
Edge of Night45——14—24.248.41.00×
Mortal Reminder4025%——30%23.547.11.25×
Hamstringer4525%———22.545.01.25×
Hextech Gunblade45————22.545.01.00×
Yun Tal Wildarrows45————22.545.01.00×
Chempunk Chainsword45————22.545.01.00×
Black Cleaver45————22.545.01.00×
Statikk Shiv45————22.545.01.00×
B. F. Sword45————22.545.01.00×
Madred's Bloodrazor40————20.040.01.00×
Trinity Force40————20.040.01.00×
Titanic Hydra40————20.040.01.00×
Stridebreaker40————20.040.01.00×
Spear of Shojin40————20.040.01.00×
Sundered Sky40————20.040.01.00×
Experimental Hexplate40————20.040.01.00×
Hullbreaker40————20.040.01.00×
Manamune40————20.040.01.00×
Overlord's Bloodmail40————20.040.01.00×
Last Whisper40————20.040.01.00×
Tiamat40————20.040.01.00×
Spirit of the Elder Lizard35————17.535.01.00×
Frozen Mallet30————15.030.01.00×
Blade of The Ruined King30————15.030.01.00×
Terminus30————15.030.01.00×
Guinsoo's Rageblade30————15.030.01.00×

66 Mayhem AD items · champion base stats and multi-item stacking not yet modelled

AP Items · Magic Damage Profile vs 50 MR

Magic Mult = 100/(100+effectiveMR) · Eff AP = AP × MagicMult · Actual damage = AP × ability_ratio × MagicMult (ratios vary per champion spell)

ItemAPMPen%Flat PenEff MRMagic MultEff AP
Wooglet's Witchcap300——50.066.7%200.0
The Golden Spatula125——50.066.7%83.3
Rabadon's Deathcap120——50.066.7%80.0
Zhonya's Hourglass120——50.066.7%80.0
Deathfire Grasp120——50.066.7%80.0
Golden Spatula110——50.066.7%73.3
Stormsurge90—1535.074.1%66.7
Everfrost100——50.066.7%66.7
Twilight's Edge100——50.066.7%66.7
Detonation Orb90—1238.072.5%65.2
Shadowflame90—1040.071.4%64.3
Hextech Rocketbelt95——50.066.7%63.3
Actualizer90——50.066.7%60.0
Hextech Gunblade90——50.066.7%60.0
Morellonomicon90——50.066.7%60.0
Night Harvester90——50.066.7%60.0
Horizon Focus90——50.066.7%60.0
Luden's Echo85——50.066.7%56.7
Crown of the Shattered Queen85——50.066.7%56.7
Moonflair Spellblade85——50.066.7%56.7
Banshee's Veil80——50.066.7%53.3
Lich Bane80——50.066.7%53.3
Rylai's Crystal Scepter80——50.066.7%53.3
Sanguine Gift80——50.066.7%53.3
Demonic Embrace80——50.066.7%53.3
Reality Fracture80——50.066.7%53.3
Runecarver80——50.066.7%53.3
Cruelty80——50.066.7%53.3
Needlessly Large Rod80——50.066.7%53.3
Void Staff6540%—30.076.9%50.0
Nashor's Tooth70——50.066.7%46.7
Archangel's Staff70——50.066.7%46.7
Innervating Locket70——50.066.7%46.7
Empyrean Promise70——50.066.7%46.7
Malignance70——50.066.7%46.7
Abyssal Scepter70——50.066.7%46.7
Cryptbloom6030%—35.074.1%44.4
Cosmic Drive65——50.066.7%43.3
Shurelya's Battlesong65——50.066.7%43.3
Imperial Mandate65——50.066.7%43.3
Staff of Flowing Water65——50.066.7%43.3
Dusk and Dawn60——50.066.7%40.0
Riftmaker60——50.066.7%40.0
Blackfire Torch60——50.066.7%40.0
Rod of Ages60——50.066.7%40.0
Shushei's Mana Jug60——50.066.7%40.0
Ardent Censer55——50.066.7%36.7
Guardian's Orb55——50.066.7%36.7
Liandry's Anguish50——50.066.7%33.3
Dawncore50——50.066.7%33.3
Liandry's Torment50——50.066.7%33.3
Ohmwrecker50——50.066.7%33.3
Will of the Ancients50——50.066.7%33.3
Statikk Shiv45——50.066.7%30.0
Shard of True Ice45——50.066.7%30.0
Guinsoo's Rageblade40——50.066.7%26.7
Banner of Command40——50.066.7%26.7
Echoes of Helia40——50.066.7%26.7
Spirit of the Spectral Wraith40——50.066.7%26.7
Twin Shadows40——50.066.7%26.7
Hextech Revolver40——50.066.7%26.7
Blasting Wand40——50.066.7%26.7
Moonstone Renewer35——50.066.7%23.3
Sword of Blossoming Dawn35——50.066.7%23.3
Trinity Force30——50.066.7%20.0
Iceborn Gauntlet30——50.066.7%20.0
Redemption30——50.066.7%20.0
Fiendish Codex30——50.066.7%20.0

68 Mayhem AP items · ability ratios, champion base stats, and multi-item stacking not yet modelled