Government employees in the United States outnumber manufacturing employees by 9,932,000, according to data from the Bureau of Labor Statistics.
Federal, state and local government employed 22,213,000 people in August, while the manufacturing sector employed 12,281,000.
The BLS has published seasonally-adjusted month-by-month employment data for both government and manufacturing going back to 1939. For half a century—from January 1939 through July 1989—manufacturing employment always exceeded government employment in the United States, according to these numbers.
Manufacturing employment in the United States peaked in June 1979 at 19,553,000. From August 2015 to August 2016 seasonally-adjusted manufacturing employment declined by 37,000--dropping from 12,318,000 last August to 12,281,000 this August.