In August, the labor-force participation rate in the U.S. dropped to 63.5%, the lowest since September 1981. By definition, fewer people in the workforce leads to better unemployment numbers. That's why the unemployment rate dropped to 8.1% in August from 8.3% in July.
Meanwhile, we're told in the BLS report that in the months of August and September, federal, state and local governments added 602,000 workers to their payrolls, the largest two-month increase in more than 20 years. And the BLS tells us that, overall, 873,000 workers were added in September, the largest one-month increase since 1983, during the booming Reagan recovery.