# Armor penetration

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Armor penetration is a champion statistic that reduces the effectiveness of a target's armor, meaning 10 armor penetration makes a target take damage as though it had -10 armor, or 20% penetration equals 20% less. The difference between penetration and armor reduction is that reduction can reduce armor below zero and affects any source of physical damage to a target. The effects of armor penetration, on the other hand, are ignored once the target's effective armor drops below 0, and only the source of the armor penetration reaps the benefits.

All champions have 0 base armor penetration but can increase it with items, runes, masteries and some champion abilities.

## Order of calculations

When attacking, armor penetration and armor reduction are considered in the following order:[1]

1. Armor reduction, flat
2. Armor reduction, percentage
3. Armor penetration, percentage
4. Armor penetration, flat

Note: Base Armor and Bonus Armor are calculated separately.

## Flat armor reduction

The target's armor is reduced by an amount. Flat armor reduction from different sources stacks additively and is distributed proportionally between base armor and Bonus Armor.

Example: 30 armor reduction against a 20 Base Armor and 40 Bonus Armor target will reduce Base Armor by 10 and Bonus Armor by 20, so the target will be reduced to 30 armor ((20 − 10) (40 − 20) = 30).

Flat armor reduction can reduce a target's armor below zero. For example, if an enemy with 10 armor has their armor reduced by 25, the enemy will have −15 armor.

## Percentage armor reduction

The target's armor is multiplied by a percentage (100% − the listed reduction). Applies to both base and bonus armor. Percentage armor reduction stacks multiplicatively and is ignored if the target's armor is 0 or less.

Example: 30% armor reduction multiplies the target's armor to 70%, so a target with 20 base armor and 40 bonus armor will be reduced to 42 armor ((20 × 0.7) + (40 × 0.7) = 42).

Percentage armor reduction makes a bigger difference on targets with higher armor. For instance, with 40% armor reduction, a target with 200 armor will lose 80 while a target with only 50 armor will lose 20.

## Percentage armor penetration

The target's armor is treated as being multiplied by a percentage for purposes of damage calculation (100% − the listed penetration). Percentage armor penetration stacks multiplicatively and is ignored if the target's armor is 0 or less.

Example: 30% armor penetration causes the target to take damage as if its armor was multiplied by 70%, so a target with 20 base armor and 40 bonus armor will be treated as though it had 42 for purposes of damage (the target's actual armor value will not change, however) ((20 × 0.7) + (40 × 0.7 = 42).

Because the target's actual armor value does not change, anything else depending on that value also doesn't change (e.g. ).

Percentage armor penetration makes a bigger difference on targets with higher armor. For instance, with 40% armor penetration, a target with 200 armor will be considered as having 80 less while a target with only 50 armor will be considered as having 20 less.

## Percentage bonus armor penetration

The target's bonus armor is treated as being multiplied by a percentage for purposes of damage calculation (100% − the listed penetration). Percentage bonus armor penetration stacks multiplicatively with other sources of percentage armor penetration and is ignored if the target's armor is 0 or less.

Example: 30% bonus armor penetration multiplies the target's bonus armor to 70% without affecting base armor, so a target with 20 base armor and 40 bonus armor will be treated as though it had 48 for purposes of damage calculation (the target's actual armor value will not change, however). (20 + (40 × 0.7) = 48).
If the player has multiple sources of percentage bonus penetration, they stack multiplicatively:
Example: 10% armor penetration and 30% bonus armor penetration. (20  × 0.9)) + (40 × 0.7 × 0.9)) = 43.2).

Because the target's actual armor value does not change, anything else depending on that value also doesn't change (e.g. ).

Percentage bonus armor penetration makes a big difference on targets who build armor items but will do nothing against base armor.

## Flat armor penetration

The target's armor is treated as being reduced by an amount for purposes of damage calculation, but cannot be reduced below 0. Flat armor penetration stacks additively.

Example: 20 armor penetration causes the target to take damage as if its armor was 20 less, so a target with 30 armor will be treated as though it had 10 for purposes of damage calculation (the target's actual armor value will not change, however).

Because the target's actual armor value does not change, anything else depending on that value also doesn't change (e.g.  ).

## Examples

Given 30 flat armor reduction and 30% armor reduction, and the target is affected by 10 flat armor penetration and 45% bonus armor penetration,

• Target A has 300 armor (100 base and 200 bonus armor).
• The 300 is reduced to 270 (90 base and 180 bonus armor) by the 30 armor reduction.
• The 270 is reduced to 189 (63 base and 126 bonus armor) by the 30% armor reduction.
• The 189 is considered to be 132.3 (63 base and 69.3 bonus armor) by the 45% armor penetration.
• The 132.3 is considered to be 122.3 by the 10 armor penetration.
Target A takes damage as if it has 122.3 armor armor.
• Target B has 18 armor.
• The 18 is reduced to −2 by the 20 armor reduction.
• The −2 is not affected by any further calculations because it is less than 0.
• Target B takes damage as if it has −2 armor.

## Increasing armor penetration

### Items

• : Unique Passive: +10 armor penetration
. +75 attack damage, +5% movement speed. Unique Passive: Your next basic attack (on-hit) on an enemy champion applies Nightfall (120 second cooldown). Nightfall: After 2 seconds, deals 90 (+ 25% of target's missing health) physical damage. If the target is taken down before Nightfall has dealt damage, its full cooldown is refunded. 3250
• : Unique Passive – Last Whisper: +30% bonus armor penetration
. +25 attack damage. 1300
• : Unique Passive – Last Whisper: +45% bonus armor penetration
. +40 attack damage. Unique Passive – Giant Slayer: Grants up to +15% physical damage against enemy champions with greater maximum health than you (+1.5% damage per 50 health difference, maxing at 500 health difference). 2700
• : +10 armor penetration
. +55 attack damage, +50 magic resist. Unique Passive – Lifeline: Upon taking magic damage that would reduce health below 30%, grants a shield that absorbs 300 + (100% bonus MR) magic damage for 5 seconds (90 second cooldown). Unique Passive – Lifegrip: When Lifeline triggers, gain +10% spell vamp and +10% life steal until out of combat. 3250
• : Unique Passive – Last Whisper: +45% bonus armor penetration
. +40 attack damage. Unique Passive – Executioner: Physical damage inflicts on enemy champion for 5 seconds. 2700
• : Unique Passive: +10 armor penetration
. +20 attack damage. Unique Passive: After killing any unit, your next basic attack or single target spell deals +15 bonus damage. 1100
• : Unique Passive: +20 armor penetration
. +65 attack damage, +10% cooldown reduction. Unique Active: Grants +20% movement speed and +40% attack speed for 6 seconds (45 second cooldown). 3200

### Champion abilities

Note: Only the armor penetration effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

• passively grants him 5 / 10 / 15 / 20 / 25% armor penetration.
• ignore 40% of targets' armor.
• upon activation his gain 50% penetration to bonus armor for 15 seconds.

### Masteries

• grants 1.4 / 2.8 / 4.2 / 5.6 / 7% armor penetration.
• grants 0.6 / 1.2 / 1.8 / 2.4 / 3 flat + 0.06 / 0.12 / 0.18 / 0.24 / 0.3 per level armor penetration.

### Runes

Name Type Tier 1 (Lesser) Tier 2 (Normal) Tier 3 (Greater)
Armor Penetration Mark

0.72

N/A

1

1

1.28

410

Seal X X X
Glyph X X X
Quintessence

1.42

N/A

1.99

1

2.56

1025

Hybrid Penetration

(Armor Penetration / Magic Penetration)

Mark

X X 0.9 armor penetration
0.62 magic penetration

820

Seal X X X
Glyph X X X
Quintessence

X X 1.79 armor penetration
1.4 magic penetration

2050

## Reducing armor

### Items

• : Unique Passive: Dealing physical damage to an enemy champion Cleaves them, reducing their armor by 5% for 6 seconds (stacks up to 6 times, up to 30%)
. +300 health, +55 attack damage, +20% cooldown reduction. Unique Passive – Rage: Dealing physical damage grants 20 movement speed for 2 seconds. Assists or kills on Cleaved enemy champions or kills on any unit grant 60 movement speed for 2 seconds instead. This movement speed bonus is halved for ranged champions. 3500

### Champion abilities

Note: Only the armor reduction effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

Percentage Reduction:

• reduces the armor of all enemies hit by 10 / 14 / 18 / 22 / 26% for 3 seconds.
• reduces the armor and magic resistance of the enemy hit by his first attack after cast, by 10 / 15 / 20 / 25% for 5 seconds
• reduces the armor of enemies hit by her autoattacks by 3% for 5 seconds. This debuff stacks up to 5 times.
• reduces the target's armor and magic resistance by 12 / 16 / 20 / 24 / 28% for 4 seconds.
• , when empowered by having more than 50 Fury, Dice will reduce the armor of all enemies hit by 15 / 20 / 25 / 30 / 35% for 4 seconds.
• reduces the armor of the first target hit by 20% for 2.5 seconds.
• reduces the armor of his target by 20% and gains for the same amount. This amount is doubled over the next 4 seconds. The armor reduction lasts for another 4 seconds after the drain completes.
•  reduces the armor of all enemies hit by 12 / 14 / 16 / 18 / 20% for 5 seconds.
• reduces the target's armor by 20% for 4 seconds after every third consecutive hit.
• reduces the armor of the target hit by 10 / 15 / 20 / 25 / 30% for 3 seconds.
• reduces the armor of targets hit by his basic attacks or by 15% for 3 seconds. Only one target may be challenged at a given time.

Flat Reduction:

• fires automatically every half second, reducing enemies armor with each hit by 1 / 2 / 3 / 4 / 5 for 2 seconds up to a maximum of 8 stacks (8 / 16 / 24 / 32 / 40).
• reduces the armor of all enemies in the area by 20 / 25 / 30 / 35 / 40 for the time they are on it plus 1 second.
• reduces the target's armor by 10 / 15 / 20 / 25 / 30 for 1.25 / 1.5 / 1.75 / 2 / 2.25 seconds.

## Notes

• Armor penetration is a very valuable stat for physical damage dealing champions. There are few sources for it, so armor penetration Marks and Quintessences are very popular runes.
• Armor penetration benefits all sources of physical damage including all champion abilities that deal physical damage.
• For example, will benefit from armor penetration as it deals physical damage, however his will not benefit from armor penetration as it deals magical damage.
• The items that deal on-hit physical damage: , , , ,  and , will also benefit from armor penetration.
• Turrets are also subjected to armor penetration effects.

## Trivia

• The biggest amount of armor penetration is:
• 79.2 flat + 30.25% armor penetration + 45% bonus armor penetration with
• Or 89.2 flat + 30.25% armor penetration with and a instead of
• 87.6 flat + 25% armor penetration + 45% bonus armor penetration with
• Or 97.6 flat + 25% armor penetration with and a instead of
• Being a with maxed up:
• Runes: +19.2 armor penetration
• Masteries:
• Option 1: (+7% armor penetration)
• Option 2: (+8.4 armor penetration)
• Items: +60 armor penetration and +45% bonus armor penetration
• 1 (+20 armor penetration)
• 4 (+4 × 10 armor penetration)
• Or 5 (+5 × 10 armor penetration)
• 1 or (+45% bonus armor penetration)
• Buffs:
• (+25% armor penetration)
• Relevant mathematics:
• Armor penetration with Option 1:
• Items =  +  +  = 60 armor penetration + 45% bonus armor penetration
• Runes =  +  = 19.2 armor penetration
• Mast. & Buffs =  +  = 30.25% armor penetration
• Flat Armor Penetration = 60 + 19.2 = 79.2 armor penetration
• Percent Armor Penetration = (2 − (2 − 1.25) × (2 − 1.07)) = 30.25% armor penetration
• Percent Bonus Armor Penetration = 45% bonus armor penetration
• Armor penetration with Option 2:
• Items =  +  +  = 60 armor penetration + 45% bonus armor penetration
• Runes =  +  = 19.2 armor penetration
• Mast. & Buffs =  +  = 8.4 armor penetration + 25% armor penetration
• Flat Armor Penetration = 60 + 19.2 + 8.4 = 87.6 armor penetration
• Percent Armor Penetration = 25% armor penetration
• Percent Bonus Armor Penetration = 45% bonus armor penetration

## Start a Discussion Discussions about Armor penetration

• #### Efficiency of Last Whipser

13 messages
• Blaisem wrote: All your graph does is look at a single dimension. You need a 6 or even 7 dimensional graph to really do it. It's too complex...
• gold/gold of AD with the purpose of defining when it's better to build AD or when it's better to build Last Whisper. The only reason to build...
• #### Penetration

4 messages
• Oh thanks a lot, It makes sense to me
• Nice, I understand it too.