Costa is the hardest punching MMA fighter in history under 205lbs so how would his power compare to a cruiserweight or light-heavyweigts boxers punch power, do any light heavy boxing champs punch harder than him?
Due to the requirements for MMA they don't have the chance to maximise there power there stances, mechanics ect all need to suit MMA. I'd say poorly, Give a boxer his gloves and you'd see frightening results.
It wouldnt compare very well, but to be fair, he is most definitely NOT the hardest MMA puncher ever under 205. Hendo, Vitor, Wand, Manhoef etc hit harder. Even at current 185 guys like Cannonier, Buckley and Holland may well be bigger punchers, maybe even Luque at 170.
I think the hardest hitting MMA guys compare fine with boxers in terms of power. I mean you look at a guy like Dan Henderson and it's clear from the get-go that the dude has freak, gorilla power. Where boxers are undeniably superior is in landing that power and in avoiding it. An MMA guy will often try and pin a superior striker and force his shots onto him; a boxer doesn't have that luxury.
I think top level boxers are also whittled down to people who are abnormally good at absorbing head shots. MMA guys have this too, but I don't know whether it's to the same degree.