Should Republicans limit funding for the Department of Homeland Security over immigration to three months, they could open a new issue with Hispanics. DHS employs the largest percentage of Hispanics of any government agency, with 21 percent of its workforce identified as Hispanic, according to the Office of Personnel Management. DHS said in its fiscal year 2015 budget request that the department has 240,000 employees, which meaning about 50,400 are Hispanic.