I think overhead rates at most big state schools are around 50%, and I believe they are higher at a lot of elite private universities. This is the link I got when I googled "Yale overhead rate":

https://your.yale.edu/sites/default/files/rate-agreement.pdf

If I am reading it right, it says that on-campus research has an overhead rate of 67.50 or 69.0 percent depending on the funding source. Ouch! I imagine that the federal government knows that it is subsidizing universities as a whole through this system and intends to do so.