For my own edification, I looked this up.

There are about 125 million full-time employees in the U.S. [0] Of which, there are:

* 35 million Fortune 1000 employees [1]

* 22 million government employees [2]

So, government and the Fortune 1000 account for about 45% of all employment.

I also found a census reckoning [3] (that seems to exclude government altogether) that puts large- and medium-sized enterprises at 65% of all employment (and growing).

[0] https://www.statista.com/statistics/192361/unadjusted-monthl...

[1] https://www.quora.com/How-many-employees-are-there-in-the-Fo...

[2] http://www.cnsnews.com/news/article/terence-p-jeffrey/govern...

[3] https://www.census.gov/content/dam/Census/library/publicatio...

Edited to fix sources.