What percentage of a professor's salary is paid for by tution?

Is it possible to determine what percentage of a tenure track/tenured professor's salary is paid for by tuition? At my UK university, our school budget includes income from student fees (we only get a portion of the fees each student pays), grants, and central university funds (presumably some of this is indirectly from student fees). I am curious if a calculation could be made for STEM departments at US R1 type universities. Presumably some of this information may be available for state schools.