Chaos Damage Reduction reduces the Damage taken by a certain percentage, up to a maximum of 90%. In the game there are several types of damage reduction like reduction of
Physical damage by Armored and Thick Skin.
Magical and Elemental damage by Magical and other traits.
The damage taken would be 1000 - 250 (Armored) = 750, then 750 - 375 (Flying II) = 375 damage, 62.5% total damage reduction.
The damage calculation is also called multiplicative because you can calculate it like this: damage taken = base damage * (1-DR1) * (1-DR2) ...
For the example this is:
= 1000 * (1-0.25) * (1-0.5)
= 1000 * 0.75 * 0.5 = 375 damage dealt.
The total damage reduction is 62.5%, not 75% as if they were added.
Heroes
The following heroes have or can inflict/apply Damage Reduction:
Rage (Trait): Gains Rage when hit. Rage modifies abilities, increases damage of their attacks and reduces taken damage. Stacks up to 5 times, resets each encounter, and cannot be copied or stolen.
That's a Moray (Trait): Marks the last target hit, and takes less damage from all unmarked enemies. When no mark is on the enemy team, take less damage from all sources. Armored (Trait): Takes 25% less damage from Physical attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Graniteform (Trait): Starts dungeons as a statue, greatly reducing damage (-90%) taken, until his first turn. Cleanses all Debuffs but keeps Buffs when entering Graniteform. Cannot be stolen, copied, or purged. Flying (Trait): Takes reduced damage from Melee attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Hardened Spirit (Trait): Takes [60%] less damage from AOE attacks. Skill increases the % value. Not Alone (Trait): This hero gains +10% Damage Reduction for each other living ally. Armored (Trait): Takes 25% less damage from Physical attacks. Flying (Trait): Takes reduced damage from Melee attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Demon's Bane (Trait): Takes reduced damage from Demon enemies and deals 2x damage to them. Angelic (Trait): Cannot be Poisoned, Burned, Frozen, Chilled, Envenomed, Shocked, or Diseased and starts dungeons with an [Aegis Shield]. Armored (Trait): Takes 25% less damage from Physical attacks.
Armored (Trait): Takes 25% less damage from Physical attacks. Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Aegis Wall (Special Attack): Heals and Shields the team, negating the next damage source received at the cost of the Shield expiring immediately. Debuffs can still be applied. Armored (Trait): Takes 25% less damage from Physical attacks.
Rage (Trait): Gains Rage when hit. Rage modifies abilities, increases damage of their attacks and reduces taken damage. Stacks up to 5 times, resets each encounter, and cannot be copied or stolen. Armored (Trait): Takes 25% less damage from Physical attacks.
Kindred Mourning (Trait): Becomes Invincible (immune to all damage) for 2 turns if an allied Reptile dies. Invincibility will only be applied if an allied Reptile of an equal or greater level dies.
Armored (Trait): Takes 25% less damage from Physical attacks. Fanning the Flames (Trait): At 25% Pressure, allies gain 30% DEF. At 50% Pressure, allies gain 25% Damage Reduction. At 75% Pressure, allies gain 20% ATK. At 100% Pressure, allies become Hasted, Pressure drops back down to 60%. The Furnace does not lose Pressure from this.
Indomitable Will (Trait): Barbarian allies gain +15% Damage Reduction per stack of Rage. Rage (Trait): Gains Rage when hit. Rage modifies abilities, increases damage of their attacks and reduces taken damage. Stacks up to 5 times, resets each encounter, and cannot be copied or stolen. Armored (Trait): Takes 25% less damage from Physical attacks. Epic Unbridled Rage (Trait): Self and allied Barbarians are immune to Fear and if they would die, ignores death but grants a shield for a turn (like Ethereal Spirit, HP does not drop below 1). Ignores Shield Piercing & Chaos Damage, happens once per dungeon. (This trait replaces 'Unbridled Rage' when the Epic is unlocked.) Unbridled Rage (Trait): Self and allied Barbarians are immune to Fear and if they would die, ignores death but gains a shield for a turn (like Ethereal Spirit, HP does not drop below 1). Unbridled Rage happens once per dungeon.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Fire Priestess (Trait): This hero gains 10% damage reduction for each other fire hero on the team. Attacks have a [25/50/100]% chance to burn on hit. The percentage depends on the rank (I-III) of this trait. Each Ascension increases the boost. Cloak of Fire (Trait): Allies gain immunity to burn and take 50% less damage from fire attacks.
Venom Defense (Trait): Reduces [5%/7%/10%] damage taken per Venom debuff (on the attacker), [20%/40%/55%] chance to apply Venom to melee attackers. When killed, applies Venom to all enemies. The [%] values depend on the rank (I,II,III) of this trait. Armored (Trait): Takes 25% less damage from Physical attacks.
Armored (Trait): Takes 25% less damage from Physical attacks. Mammoth Guard (Trait): Starts the battle with +DEF, Taunts, and reduces damage dealt to all allies. Effects are reduced as Momentum increases. Taunt is removed at 3 Momentum.
Bunny Allergy (Trait): Deals 20% more damage for each Lil Bunny on the field. Takes 50% reduced damage from all non-Chaos source. Damage Reduction is reduced by 20% for each Lil Bunny on the field. Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks.
Armored (Trait): Takes 25% less damage from Physical attacks. Crystallized Carapace (Special Attack): Taunts, gains 75% Damage Reduction, and heals allies the damage taken. Enemies who hit him have their attack lowered by [15]% (55% @ lvl 80) while the taunt is active. Starts Powered.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Master of Combat (Trait): Armored Hero that cannot Miss or be Dodged.
Armored (Trait): Takes 25% less damage from Physical attacks. Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield. The Face of Terror (Trait): [5%/10%/15%] Damage Reduction from enemies inflicted with Terror. The percentage depends on the rank of this trait (I-III).
Tit for Tat (Trait): Aegis Shield will be generated when damaged. Any CRIT taken on this Hero will cause them to CRIT on their next action, even if elementally disadvantaged.
Rage (Trait): Gains Rage when hit. Rage modifies abilities, increases damage of their attacks and reduces taken damage. Stacks up to 5 times, resets each encounter, and cannot be copied or stolen.
Armored (Trait): Takes 25% less damage from Physical attacks. Monstrous Presence (Trait): Monsters take reduced damage from debuffed characters (-10% per debuff), and cannot be retaliated against.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Epic Veil of Voltage (Trait): All allies gain 25% Damage Reduction and gain +1 Energy whenever they deal damage to a shocked enemy. Honorbound allies gain double this effect and chance to shock on CRIT. (This trait replaces the trait 'Veil of Voltage' when the Epic is unlocked.)
Dryad Ice (Trait): Starts dungeons in Ice Block, reducing damage taken (90% Damage Reduction) and Debuff immune until their first turn. Can't be stolen, copied, or purged.
Elven Grace (Trait): Takes significantly reduced damage from CRITs and deals 2x damage to Flying enemies. Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. The Guardian (Special Attack): Forces enemies to target single attacks on this char and adds an anti-magic aura to team, 9% (scales) damage reduction from magic attacks. Starts Powered.
Hardened Spirit (Trait): Takes [60%] less damage from AOE attacks. Skill increases the % value. Armor's Bane (Trait): Takes reduced damage from Armored enemies and deals 2x damage to Armored enemies. Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Dragon Scales (Trait): All Dragon allies are immune to Debuffs for the first round, and take reduced damage from Chaos, Basic, and Epic attacks. Flying (Trait): Takes reduced damage from Melee attacks.
Elven Grace (Trait): Takes significantly reduced damage from CRITs and deals 2x damage to Flying enemies. Darting Defense (Trait): Ranged Allies take 25% reduced damage from basic and epic attacks.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Master of Combat (Trait): Armored Hero that cannot Miss or be Dodged.
Ice Block (Trait): Starts dungeons in Ice Block, reducing damage taken (90% Damage Reduction) and Debuff immune until his first turn. Can't be stolen, copied, or purged.
Sanctified Spell Absorption (Trait): Allies take significantly reduced damage from non-Physical (-60%) and Chaos attacks (-20%). Epic Spell Absorption (Trait): Allies take significantly reduced damage from non-Physical (-60%) and Chaos attacks (-20%). Assassin allies take even less damage (-70% and -30%, respectively). (This trait replaces 'Sanctified Spell Absorption' when the Epic is unlocked.)
Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Elven Grace (Trait): Takes significantly reduced damage from CRITs and deals 2x damage to Flying enemies. Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Armored (Trait): Takes 25% less damage from Physical attacks. Just a Scratch (Trait): Any Melee attacker that has lower ATK than Astrid's DEF only deals 1 damage to her and grant her a stack of +20% ATK. Maximum 10 stacks, cannot expire.
Protector of the Realm (Trait): Takes less damage from Beast, Demon, Monster, and Undead enemies and deals 2x damage to those enemy types. Tit for Tat (Trait): Aegis Shield will be generated when damaged. Any CRIT taken on this Hero will cause them to CRIT on their next action, even if elementally disadvantaged. Armored (Trait): Takes 25% less damage from Physical attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Tit for Tat (Trait): Aegis Shield will be generated when damaged. Any CRIT taken on this Hero will cause them to CRIT on their next action, even if elementally disadvantaged. Chaos Shield (Trait): Takes 40% less damage from non-Chaos attacks. Flying (Trait): Takes reduced damage from Melee attacks.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Stone Skin (Trait): Takes 50% reduced damage from all non-Chaos sources. Immune to being Stoned, Burned, Frozen, and Shocked. Armored (Trait): Takes 25% less damage from Physical attacks.
Hidden Power (Trait): Gains 25% Damage Reduction for 1 turn whenever a debuff is applied on this Hero. Blending In (Trait): Immune to damage and Silence during the first round. Can't be Stolen, Copied or Purged. Venom Defense (Trait): Reduces [5%/7%/10%] damage taken per Venom debuff (on the attacker), [20%/40%/55%] chance to apply Venom to melee attackers. When killed, applies Venom to all enemies. The [%] values depend on the rank (I,II,III) of this trait.
Dwarven Forged Team (Trait): Armored allies gain +15% Damage Reduction from Ranged and Melee attacks. Armored (Trait): Takes 25% less damage from Physical attacks.
The Last Word (Trait): Slow allies and self take 30% reduced damage from Fast enemies. Slow allies revenge attacks twice. Slow allies can't have buffs removed or debuffs added by fast enemies. Thick Skin (Trait): Takes 25% less damage from Physical attacks.
Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Kindred Mourning (Trait): Becomes Invincible (immune to all damage) for 2 turns if an allied Reptile dies. Invincibility will only be applied if an allied Reptile of an equal or greater level dies. Death Bites (Special Attack): Ranged Physical attack on all enemies that consumes up to 5 Venom stacks and deals 20% more damage for each Venom stack removed. Will grant 'Invincibility' on a killing blow.
Ethereal (Trait): Gains 20% Damage Reduction and Ethereal Spirit on the first turn. The shield-like buff prevents that HP drops below 1. This effect cannot be stolen or purged. Shield-Piercing attacks ignore the Ethereal Spirit shield.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Fog of War (Special Attack): Ranged Dark attack on all enemies that Diseases on hit, and self and allies receive -50% damage from Epic attacks for 3 turns.
Magical (Trait): Takes [25%/35%/50%] less damage from non-Physical attacks. Aegis Bandage (Special Attack): Heals the team and Shields target ally, negating the next damage source received at the cost of the Shield expiring immediately. Debuffs will still be applied.
Honorbound (Trait): Takes 50% less damage from AOE attacks (attacks that hit all enemies), and buffs applied to this hero last an additional round. Thick Skin (Trait): Takes 25% less damage from Physical attacks.
Safe Haven (Special Attack): Cleanses all debuffs from target ally and grants them Invincibility for 1 turn. Flying (Trait): Takes reduced damage from Melee attacks.
Tangled Triad (Trait): If on a team with 2 or more allied Gorgons, self and Gorgon allies start dungeons with Invincibility for their first turn. Kindred Mourning (Trait): Becomes Invincible (immune to all damage) for 2 turns if an allied Reptile dies. Invincibility will only be applied if an allied Reptile of an equal or greater level dies. Ageless Immortals (Trait): Reptile allies gain 1 turn of Invincibility when purging Venom.
Oak Form (Trait): Starts dungeons in Oak Form, reducing damage taken (-90%) and debuff immune until her first turn. Can't be stolen, copied, or purged. If Lily would be killed for the first time, enters Oak Form instead and heals 25% of the Max Health.