furious power fist melee weapon or fist?

[Luke]

i got a skill perk to spend and i want to know if the skill for the fist damage would benefit the weapon (furious power fist) or if the melee weapon damage would benefit the weapon?

[JFL-WBQA]

Wondering the same..

[majinkirai[DR]]

Iron fist perk increases the power fist's damage.