# Damage Reduction

 This page was last updated for (v1.1.2).

- Main article: Combat

Damage Reduction (commomly referred to as DR) is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a or .

Many monsters have Damage Reduction modifiers that affect their defensive stats.

## Mechanics

The player's damage reduction while engaged in combat can be calculated as their damage reduction % outside of combat ('Base Damage Reduction'), less any penalties that apply when in combat (such as the Intimidation passive effect present on many monsters), all multiplied by the Combat Triangle damage reduction modifier. Damage reduction has a maximum value of 95% and a minimum of 0%, where the in-combat damage reduction can be calculated as:

$\displaystyle{ \text{Damage Reduction %} = \min \Big( \max \Big( \Big\lfloor \left ( \text{Base Damage Reduction %} - \text{In-Combat Penalties} \right ) \times \text{Combat Triangle Modifier} \Big\rfloor , 0 \Big), 95 \Big) }$

Where: $\displaystyle{ \left \lfloor x \right \rfloor }$ is the floor function.

Whenever a player or monster with Damage Reduction greater than 0% would receive damage, the damage taken is reduced. This reduced damage can be calculated as follows:

$\displaystyle{ \text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor }$

## Other Damage Reduction Equipment

DR% Helmet Platelegs Gloves Shield Cape Amulet Ring
1%

2%

3%

4%
5%

6%
9%
10%