If I push 160iso film by 2 stops, and shoot a scene at 1/500 @ f16 as if I would have shot it with 400iso film at 1/500 @ f16, will I get a similar exposure by pushing the 160iso film?

Basically, if I push film can I keep all other settings such as aperture and shutter speed the same or do I have to change them as well in some way?