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Weapon Damage is a stat that increases Bullet Damage, Light Melee Damage, and Heavy Melee Damage.

Headshots

Aiming for the head will deal increased damage. Troopers, Guardians, and Heroes have a weakpoint hitbox that receives approximately double base bullet damage when hit by a weapon. Seven receives reduced incoming headshot damage, as do Mo & Krill, who have a separate hitbox for each of Mo and Krill's heads.

Several items have effects that proc on headshots, such as Headshot Booster, Headhunter, and Crippling Headshot.

Math

The formula for weapon damage is: $x_f=x_i\ast (1+\sum _{i=1}^n\text{Shop Bonus}+\sum _{i=1}^n\text{BaseAttackDamagePercent}+\sum _{i=1}^n\text{Golden Statues})$
where:
$\begin{array}{cc}{x}_f& =\text{final weapon damage,}\\ x_i& =\text{initial weapon damage,}\\ ShopBonus& =\text{Increase based on the tier,}\\ BaseAttackDamagePercent& =\text{weapon damage value,}\\ GoldenStatues& =\text{Golden Statue value}\end{array}$

Sources

All weapon items implicitly provide weapon damage based on tier, represented as "Shop Bonuses" in the ingame stats calculation. Tier 1 items provide +6%, Tier 2 items provide +10%, Tier 3 items provide +14%, and Tier 4 items provide +18%. The following items explicitly grant increased weapon damage:

This is a dynamic list "Weapon Damage". Edit contents.

Name	Cost	Category	Stat change
Close Quarters	800	Weapon	+20% Weapon Damage
Extended Magazine	800	Weapon	+8% Weapon Damage
High-Velocity Rounds	800	Weapon	+8% Weapon Damage
Restorative Shot	800	Weapon	+6% Weapon Damage
Fleetfoot	1,600	Weapon	+6% Weapon Damage
Long Range	1,600	Weapon	+40% Weapon Damage
Opening Rounds	1,600	Weapon	+8% Weapon Damage
Recharging Rush	1,600	Weapon	+10% Weapon Damage
Titanic Magazine	1,600	Weapon	+14% Weapon Damage
Cultist Sacrifice	3,200	Weapon	+10% Weapon Damage
Escalating Resilience	3,200	Weapon	+18% Weapon Damage
Express Shot	3,200	Weapon	+8% Weapon Damage
Headhunter	3,200	Weapon	+5% Weapon Damage
Hollow Point	3,200	Weapon	+35% Weapon Damage
Point Blank	3,200	Weapon	+50% Weapon Damage
Sharpshooter	3,200	Weapon	+10% Weapon Damage
			+60% Weapon Damage
Weighted Shots	3,200	Weapon	+30% Weapon Damage
Armor Piercing Rounds	6,400	Weapon	+8% Weapon Damage
Glass Cannon	6,400	Weapon	+80% Weapon Damage
Battle Vest	1,600	Vitality	+18% Weapon Damage
Bullet Lifesteal	1,600	Vitality	+6% Weapon Damage
Fury Trance	3,200	Vitality	+6% Weapon Damage
Colossus	6,400	Vitality	+15% Weapon Damage
Inhibitor	6,400	Vitality	+10% Weapon Damage
Leech	6,400	Vitality	+12% Weapon Damage
Phantom Strike	6,400	Vitality	+15% Weapon Damage
Siphon Bullets	6,400	Vitality	+15% Weapon Damage
Vampiric Burst	6,400	Vitality	+6% Weapon Damage
Bullet Resist Shredder	1,600	Spirit	+9% Weapon Damage
Unstable Concoction	Legendary	Spirit	+150% Weapon Damage

• Headshot Booster deals +40 bonus Weapon Damage with headshots.
• Monster Rounds increases Weapon Damage against NPCs by +35%.
• Berserker increases Weapon Damage by +5% per stack for sustaining damage, where 100 receiving damage equals one stack, maxing at ten stacks.
• Headhunter additionally deals +140 bonus Weapon Damage with headshots.
• Intensifying Magazine additionally increases Weapon Damage to a maximum of 60% after continuously firing for three seconds.
• Pristine Emblem additionally increases Weapon Damage by +25% against enemies above 50% health.
• Alchemical Fire causes enemies to receive +50% Weapon Damage from the player's team.
• Glass Cannon additionally increases Weapon Damage by +10% per stack for each hero kill, maxing at seven stacks.

Map spawns

• Golden Statues can provide a permanent increase: +3% Weapon Damage before 10 minutes, or +4% Weapon Damage before 30 minutes, or +7% Weapon Damage after 30 minutes.