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Payroll taxes on $160k salary are $12,240. Employer contribution to health insurance is maybe $6k - $20k. Retirement maybe $5k. Still under $200k.

Heck of a lot of "support cost" to get to $670k

Your numbers make sense from what I've seen in private sector. And meet the common sense threshold as well.

Whether the numbers are either wrong or if that is truly what support costs look like at a university would be interesting to know.