Damage reduction

Damage reduction is a hidden player statistic that decreases damage taken. All boosts (except Warmth Potion) affect damage taken after defense.

Maximum damage reduction
The highest damage reduction possible is 73.6% (or 81.52% against cold-themed enemies), using the following setup:


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Warmth Potion – 30% reduction against cold-themed enemies
 * Accessories and potions (additive)
 * Frozen Turtle Shell – 25% reduction
 * Worm Scarf – 17% reduction
 * Endurance Potion – 10% reduction
 * If Paladin's Shield buff is on, it can reduce additional 25% damage after defense.

Therefore, the maximum damage reduction is: $$(1 - 0.45) * (1 - (0.25 + 0.17 + 0.1)) = 0.264 = 26.4% \text{ damage taken} = 73.6%$$

The maximum damage reduction against cold-themed enemies is: $$(1 - 0.45) * (1 - 0.3) * (1 - (0.25 + 0.17 + 0.1)) = 0.1848 = 18.48% \text{ damage taken} = 81.52%$$ (note that the Warmth Potion is calculated before defense).


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Accessories and potions (additive)
 * Endurance Potion – 10% reduction
 * Warmth Potion – 30% reduction against cold-themed enemies
 * This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is: $$(1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% \text{ damage taken} = 50.5%$$

The maximum damage reduction against cold-themed enemies is: $$(1 - 0.45) * (1 - (0.1 + 0.3)) = 0.33 = 33% \text{ damage taken} = 66%$$


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Accessories and Potions (additive)
 * Endurance Potion – 10% reduction
 * This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is: $$(1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% \text{ damage taken} = 50.5%$$