For me it just put me to sleep. Follow guidelines about not driving or doing other important things when you are on it.
I've never had an implant done but I've had two root canals and done fine with ibuprofen. One thing they tell you to do is "get ahead of the pain." With surgery, you know you'll be in pain, so take the full dose of prescribed meds on time regardless of whether it hurts, and keep it up. This can prevent having to take a stronger medication.
That said, if you are in pain, take the Percocet! Then go rest -- rest will also help with recovery and pain. I also recommend storing up some dumb entertainment -- normally I read or watch somewhat challenging TV or podcasts to relax. When recovering from surgery, I cannot do this. I need to watch like Love Island until I pass out. Just something that will smooth my brain right out.