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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.

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.
• 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.