Author: Prismatic A massive thank you to cz47 and Lango who both contributed massively to what is presented here.

Everything here works the same for Torgue Licenced sticky mag and genuine Torgue guns with a sticky mode.

Impact

Impact damage is fairly simple. You can calculate it like a normal gun shot and it will receive all the expected boosts:

Card x 0.07 x amp
x
(Head Ringer + Enhancement Gun & Type)
x
(1 + soup + {crit modifier})
x
elemental match

crit modifier = 1 + Gear Crit + (2 x Skill Crit)

If you equip Explosi-ception, then the 0.07 modifier becomes 0.35.

Detonation

Simplified Formula

Card x 0.7 
x 
( Head Ringer + Enhancement Gun & Type ) 
x 
( 1 + soup + {crit modifier} ) 
x 
elemental match 
x 
( 1 + [ ammo per shot/(projectile count x mag size) x (n-1) ] )

crit modifier = 1 + (2 x Skill Crit)

• The card will list a % sticky bonus, but this is merely an approximation of Ammo per shot/(projectile count x mag size). You can ignore the card value and just pay attention to the mag size when your gun is fully loaded as this max mag value will be checked dynamically.
• The other noteworthy point is that stickies do not benefit from gear critical bonuses such as the guns own crit bonus or the passives on your com and enhancement.
• This formula is accurate for when your boosts are unchanged between shooting the stickies and detonating. Note however Stickies are affected by amp, but including amp needs us to account for what is on shot and what is on hit.

Full Formula

[
  Card x 0.7 x Amp
  x 
  (Head Ringer + Enhancement Gun & Type) 
  x 
  (1+soup+{crit modifier}) 
  x 
  elemental match 
]
+
[
  Card x 0.7
  x 
  (Head Ringer + Enhancement Gun & Type) 
  x 
  (1+soup+{crit modifier}) 
  x 
  elemental match 
  x 
  [ ammo per shot / (projectile count x mag size) x (n-1) ]
]

crit modifier = 1 + (2 x Skill Crit)

• Untested, but it is likely that flat boosts to card damage like Bloodshot would only apply to the first part of the formula and not benefit from the per sticky scaling aspect. Also keep in mind the boost will only apply to 1 shots worth of stickies and is therefore usually a minor boost.