You say it like it's a bad thing. Why is this a problem again?
According to OPM, there were about 2.1M federal civilians (2010 data). According to the Bureau of Labor Statistics, there are about 130M nonfarm employees in the US workforce. (2011 data) So... only 1.6% of all nonfarm jobs are feds. (roughly)
I see this as meaning that there are too many people interested in federal employment.