Film rental is always paid weekly. It's normally figured two ways, with the higher amount being paid (film distributor advantage) --
1) Gross admission total (less local sales tax) for the week multiplied by a percentage rate set by the exhibition contract.
vs.
2) Gross admission total, less a "house allowance" granted to the theater, with the remainder multiplied by 90%. (Theater gets 10% after house allowance.)
Typically the percentage rate starts at 70% for the first week or two, then drops by 10% per week to a minimum of 35% (in some cases 30%). There are exceptions. A "blockbuster" may by billed at 70%, 70%, 60%, 60%, 50%, 50%, 40%, 35%. The film may not run long enough to get to the lower percentages. If it only runs three weeks, then the theater pays 70%, 70%, 60%. Or perhaps 70%, 60%, 50%.
There are exceptions. Some distributors have started billing a fixed percentage such as 54% for all weeks.
Some films are billed on a "floating percentage" scheme, meaning the highest percentages apply to the highest grossing weeks, regardless of calendar order.
In most cases the weekly payment are considered to be "on account" until the final terms are settled. It's not unusual to get a bill for more rental due several months after a film has closed, with payment demanded *yesterday*. On the other hand, in the rare case of an overpayment, it may take 6, 9 months or up to a YEAR for the distributor to crank out a credit notice.
Disney came up with a new scheme for the last Pirates of the Caribbean. A sliding scale ranging from 45% to 62% depending on what is the *total* reported domestic gross earned during the film's run. In other words, theaters do not know what will be the final bill until ALL theaters across the U.S. have finished their runs and the prints are pulled from distribution.
Old material that's still available for theater run, such as what may be shown for $1 summer kid shows, are typically billed at a flat $-amount per week. As an example, last week we ran Open Season for the Wednesday $1 summer kid show. It sold 223 admissions. Deducting the included 8.25% local sales tax on admissions, the net gross is $206. Sony's flat-rate for it was $200. Thus the net "profit" was $6.00. Concession makes up the difference in operational costs ... hopefully!
There's also the matter of advance and guarantee payments ... but this post is already too long.