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Every character has a base damage that grows as they level up. Acrid has 15 base damage, and it grows by 3 per level up.
Let's say you have a sticky bomb that does 150% base damage. A level 4 Acrid with 24 base damage would do 36 damage with the sticky bomb (1.5*24). It doesn't matter if he procced it by doing 48 damage or 24 damage- the sticky bomb will do 36 damage.
Now let's say you have a sticky bomb that does 150% damage or total damage. A level 4 Acrid with 24 base damage wouldn't always do 36 damage. It'd depend what the sticky bomb procced off of. If Acrid did his base damage of 24 to proc the sticky bomb, it'd be 36 damage. But if his attack that procced it normally did 200% damage (or 48 damage total) the sticky bomb would do 72 damage (1.5*48).
in reality, most proc items scale with damage. There's a few which don't like on-death effects and tri-tip daggers, which scale with base damage instead.
A simple way to think of it is base damage only scales with your character, whereas damage or total damage takes into account other modifiers like the %damage increase items you're carrying, or the modifiers on your attacks.
In terms of application if your attacks are quick and weak you want base damage. If your attacks are big and strong but on the slower side, you want damage or total damage.