Your number surprised me so I googled and found this (among other stats) from PoliticFact:
“Using 105,000 total USDA employees and the BLS figure of 1.2 million farmers and farm workers — you get a ratio of 1 employee for every 11.4 farmers.”
105,000 USDA employees ?
Maybe in DC.
It couldn’t possibly count AG Dept. employees in every state.