Damage

Damage for Physical Attackers

Initial formula from this Google Doc, adjusted for Season 6.

Experimentally updated for new flat physical calculations. To be verified.

Ignoring Monster Physical Damage Reduction, since unknown. Not considering additive Elemental.

Season 6 Physical Attacker Formula

Formula

Single Hit Damage = (Base Weapon Damage * Enhanced Damage + Flat Physical) * Attack Damage Modifier * Deadly Blow Modifier * Armor Break Modifier * Critical Strike Modifier * Extra Damage Modifier * Skill Attack Damage Modifier

Base Damage

Base Damage in this context is the initial value that gets multiplied by all the other modifiers.

Base Damage = (Base Weapon Damage * Enhanced Damage) + Flat Physical

Your weapons base damage is the value in white brackets on your weapon.

Enhanced Damage is the sum of the weapons enhanced damage with all the enhanced damage from other gear pieces except the other weapons, if dualwielding.

Flat Physical is the sum of all flat physical damage from gear and skills.

Attack Damage Modifier

Attack Damage Modifier = 1 + \sum (Attack Damage Modifiers on Gear and Skills)

Your sources of Attack Damage are Strength (1% per point), stats on gear and skills.

Armor Break Modifier

Armor Break Modifier = 1 + Crushing Blow Modifier + \sum (Additional armor break modifiers)

Armor Break increases the physical damage enemies take. The most common source of Armor Break is Crushing Blow, which provides a 10% increase per stack, up to a maximum of 5 stacks. Additional sources of Armor Break are additive to the Crushing Blow effect.

Deadly Blow Modifier

Deadly Blow Modifier = (Non-Deadly Blow Chance * 1) + (Deadly Blow Chance * 1.5)

Deadly Blows deal 50% increased physical damage

Critical Strike Modifier

Critical Strike Modifier = (Non-Critical Strike Chance * 1) + (Critical Strike Chance * Critical Strike Damage)

Critical Strikes deal more damage based on your Critical Strike Damage. Critical Strike Chance cap is 95%

Extra Damage Modifier

Extra Damage Modifier = 1 + \sum (Extra Damage to X [%])

Extra Damage is a multiplier for the damage you deal to enemies with certain debuffs. The debuffs are Bleeding, Burning, Poisoned, Stunned, (Deep) Frozen and Stasis.

Note: After further testing, it seems that the different extra damage modifiers are additive with each other and not multiplicative like previously stated.

Season 7 introduced a few new item affixes that can grant you extra damage:

Shadowburn
Frostbitten
Monsters Afflicted with Ailments, this one works once for each ailment (as of Season 7)

Skill Attack Damage

Damage Breakdown, hover for info

2,116=(80*4.00+35)⏟355.00*1+150%+80%⏟3.3*(65.00%+35.00%*1.5)⏟1.175*1.5*(95.00%*1+5%*1.5)⏟1.025*(1+(0%+0%+0 %+0%+0%+0%+0%+0%+0×0 % ))⏟1*1

Load Preset

Your Attributes and their effect on Damage
Attribute	Value	Value of 1 Point increase [Points per 1% increase] [Gain if Max]
Base Damage		1.1% [0.89]
Enhanced Damage %		0.23% [4.4]
Attack Damage		0.30% [3.3]
Strength		0.30% [3.3]
Critical Hit Chance		0.49% [2.0]
Critical Hit Damage		0.049% [20]
Deadly Blow Chance		0.43% [2.4] 27.66%
Flat Physical		0.28% [3.6]
Skill Attack Damage		1.0% [1.0]

Configurations
Attribute	Active	Value of 1 Point increase [Points per 1% increase]
Total Armor Break		0.67% [1.5]
Extra Damage to Bleeding		0.0% [∞]
Extra Damage to Burning		0.0% [∞]
Extra Damage to Poisoned		0.0% [∞]
Extra Damage to Stunned		0.0% [∞]
Extra Damage to Frozen		0.0% [∞]
Extra Damage to Frostbitten		0.0% [∞]
Extra Damage to Stasis		0.0% [∞]
Extra Damage to Shadowburn		0.0% [∞]
Extra Damage to Monsters Afflicted with Ailments	0	0.0% [∞]

Scenario	Damage	Note
Tooltip	1,172	Character Sheet Damage, ignores Crit Chance, Crit Damage, Armor Break, Extra Damage Modifiers and Skill Attack Damage
Critical Hit	3,046	Single Crit Hit, ignoring Chance
Total Damage (Single Hit)	2,116	Expected Average Damage considering Deadly Blow, Crit etc.

Total Damage Calculation Breakdown (WIP)
Attribute	Value	Breakdown
Total Base	355	Base 80 22.54% Enhanced 240 67.61% Flat Physical 35 9.86% Base including Enhanced 320 90.14%
Increased Attack Damage %	230	Attack Damage 80 34.78% Strength 150 65.22%
Effective Crit Multiplier	1.025	Non-Crit 1 95.00% 1 Crit 1.5 5.00% 0.075
Deadly Blow Modifier	1.175	Non-Deadly Blow 1 65.00% 0.65 Deadly Blow 1.5 35.00% 0.525
Extra Damage Modifier	1.00

Effectiveness of certain common Item affixes
Attribute	Value [Points per 1% increase]
Small 35% Enhanced Damage Charm	7.9% [4.4]
Grand 100% Enhanced Damage Charm	23% [4.4]
Large 30% Attack Damage Charm	9.1% [3.3]
Large 50% Attack Damage Charm	15% [3.3]
Small 10 Strength Charm	3.0% [3.3]
Grand 30% Critical Damage Charm	1.5% [20]
Grand 20% Critical Strike Chance Charm	9.8% [2.0]
Small 6 Flat Physical Charm	1.7% [3.5]
20% Extra Damage to Bleeding	0.0% [∞]

Damage for Casters

Not specifiying a certain element, since casters usually only do one element. Ignoring Hybrid skills. Only showing per Hit damage, without other multipliers like Elemental Breaks, Augment Damage%, Hit rate etc.

Season 6 Caster Damage Formula

Formula

Single Hit Damage = \underset{\underset{Base Damage}{⏟}}{(Skill Level * Skill Base Scaling + Flat Skill Damage)} * \sum_{i = 1}^{4} (Syn i Value * Syn i Count) * (Magic Skill Damage + [Element] Skill Damage) * Resistance Modifier * Extra Damage Modifier

Base Damage

Base Damage = Skill Level * Skill Base Scaling + Flat Skill Damage

Base damage is calculated by summing up the base damage of your skill and flat skill damage.

Synergy Modifier

\sum_{i = 1}^{4} (Syn i Value * Syn i Count)

Synergy modifiers are calculated by summing up the synergy values of your skill and the listed attribute, usually intelligence.

Magic Skill Damage / Element Skill Damage

Magic/Element modifier = 1 + (Magic Skill Damage % + [Element] Skill Damage %)

Magic Skill Damage and your increases to your skills element are summed up for further calculations

Resistance Modifier

Resistance Modifier = 1 - (Enemy Resistance * (1 - Resistance Ignore))

Your damage is calculated against an Enemies resistances, this modifier is representing this penalty depending on your enemy resistance ignore stats. Currently using 80% Monster Resistances as a base value.

Extra Damage Modifier

Extra Damage Modifier = 1 + \sum (Extra Damage to X [%])

Extra Damage is a multiplier for the damage you deal to enemies with certain debuffs. The debuffs are Bleeding, Burning, Poisoned, Stunned, (Deep) Frozen and Stasis.

Note: After further testing, it seems that the different extra damage modifiers are additive with each other and not multiplicative like previously stated.

Season 7 introduced a few new item affixes that can grant you extra damage:

Shadowburn
Frostbitten
Monsters Afflicted with Ailments, this one works once for each ailment (as of Season 7)

Other Factors

Damage Breakdown, hover for info

66,734 =(48*9.25+17⏟461.00)*(1+(25*11.5%+44*10%+29*13.75%+493*7.5%)⏟4823.75%)*(1+44%+150%⏟194%)*1*(1+(0%+0%+0 %+0%+0%+0%+0%+0%+0×0 % ))⏟1

What is Base Damage

Load Preset

Your Attributes and their effect on Damage
Attribute	Value of 1 Point increase [Points per 1% increase] [Gain if Max]
Base Skill Base Damage Base Skill Level	2.0% [0.50]
Synergy 1 Synergy Value Synergy Count	0.23% [4.3]
Synergy 2 Synergy Value Synergy Count	0.20% [4.9]
Synergy 3 Synergy Value Synergy Count	0.28% [3.6]
Intelligence Int Syn Value Intelligence	0.15% [6.6]
Magic Skill Damage	0.34% [2.9]
Elemental Skill Damage	0.34% [2.9]
Ignore Enemy Resist	0.0% [∞] 0.0% [∞]
Flat Skill Damage	0.22% [4.6]

Configurations
Attribute	Active	Value of 1 Point increase [Points per 1% increase]
Extra Damage to Bleeding		1.0% [1.0]
Extra Damage to Burning		1.0% [1.0]
Extra Damage to Poisoned		1.0% [1.0]
Extra Damage to Stunned		1.0% [1.0]
Extra Damage to Frozen		1.0% [1.0]
Extra Damage to Frostbitten		1.0% [1.0]
Extra Damage to Stasis		1.0% [1.0]
Extra Damage to Shadowburn		1.0% [1.0]
Extra Damage to Monsters Afflicted with Ailments	0	0.0% [∞]

Scenario	Damage	Note
Damage	66,734	Expected Damage

Total Damage Calculation Breakdown (WIP)
Attribute	Value	Breakdown
Total Base	461	Base from Skill Levels 444 96.31% Base from additive 17 3.69%
Extra Damage Modifier	1.00
Resistance Penalty	1.00
Synergy Multiplier	49.24	Synergy 1 287.5 5.84% Synergy 2 440 8.94% Synergy 3 398.75 8.10% Intelligence Synergy 3,697.5 75.10%

Effectiveness of certain common Item affixes
Attribute	Damage	Damage Increase (in %)	Flat per Per Point	Points per Percent
+10 Intelligence Small Charm	67,750	1,017 (1.52%)	101.65	6.56
50% Magic Skill Damage Grand Charm	78,083	11,349 (17.01%)	226.98	2.94
+5 All Skills Grand Charm	76,057	9,324 (13.97%)	1,864.7	0.36
+6 Flat Skill Damage Small Charm	67,602	868.5 (1.30%)	144.76	4.61
+20% Extra Damage to Burning	80,080	13,347 (20.00%)	667.34	1
Chaos Gem (+10% Magic Skill Damage, +10 Intelligence)	70,054	3,321 (4.98%)
Pristine Elemental Gem (+20 Flat)	69,629	2,895 (4.34%)	144.76	4.61

Categories

Damage for Physical Attackers

Season 6 Physical Attacker Formula

Damage Breakdown, hover for info

Damage for Casters

Season 6 Caster Damage Formula

Damage Breakdown, hover for info