I wonder what percentage of the admin is dedicated to chasing money. While I was working as an undergrad assistant the grant writing process was insane and I rarely saw the professor overseeing research. He was walled off in his office writing grant proposals.
I learned that for the budget of most research projects, 50% was administration. That is 50% wasn't for researchers, the lab, labor, or equipment. Part of the 50% administration budget was paying for the oversight of said budget.
I am no longer amazed when government projects go severely overbudget anymore. Its designed to do that. Not just the contractor but the government itself. Budget a project, get the vendor, project goes over, create a department to track costs, budget goes over, write a new law to track budget, budget goes over, create another department to track budget, budget goes over, write a new law to track budget, ad nauseum.