6% seems suspect. I would expect it to be higher... at least in the 20% to 30% range. Do you have a source?
FY 2022 spending was around $6.75 trillion, civilian pay was $271 billion, or around 4% of the spending for that year. You'll find the numbers have been hovering around 4-5% for quite a while.
https://www.brookings.edu/articles/is-government-too-big-ref...
Every publication I've looked at has the overall spending for federal employee salaries as around 280 billion. The total budget is around 6 trillion.