The number of job openings in June hit the highest level since May 2008, rising 3.8 percent to 3.94 million from 3.79 million a year earlier, according to government data released Tuesday. However, details in the report show little change in the U.S. labor market, which needs to add another 2 million jobs to reach the employment levels at the start of the Great Recession. The number of openings during the month as a percent of total employment and openings was unchanged in June, remaining at 2.8 percent.