I came away with the numbers 232k employees with earnings in 2021. https://universityofcalifornia.edu/about-us/information-cent...
And Fall 2021 has student enrollment at 294,662. https://www.universityofcalifornia.edu/about-us/information-...
Some quick caveats, the employee count is for a year, and the UC system has about an 8% separation rate. The employee count also includes 29k student employees. Even so, that feels like way too many employees to service that student count, a bulk of which are listed as non-student professional and support staff.