It depends on the particular studio and even movie. The big blockbusters (like most MCU movies) will have something like a 10% cut to the movie theater for the first week but then go to maybe 50% or more to theater if it's been around for a while. But then again the studios come up with specific terms for bigger blockbusters.
I went to a few movie theaters that showed later first run movies, where they said that it allowed them to keep prices down because the cost to the theater was less. But at that point I'm not sure if there might be some rental cost. This place did things a bit differently, including baby nights (turn down the sound, keep the lights up higher, and no complaining about crying babies) as well as half price nights. They also had a real kitchen. If we got food, it was typically their nachos, which were similar to what one might find in a Tex-Mex place.