WASHINGTON — U.S. employers posted the most jobs in two decades in August, and hiring also reached a record high, fresh evidence that companies are desperate to staff up amid solid economic growth.

Job openings rose a slight 0.8 percent to 7.14 million, the highest on records dating back to December 2000, the Labor Department said Tuesday. That is also far more than the 6.2 million people who were unemployed that month.

The number of available jobs has swamped the number of unemployed for five straight months. Hiring has been solid, which has pushed down the unemployment rate to a nearly five-decade low of 3.7 percent. Strong demand for workers when so few are out of work may force more companies to raise pay in the coming months.

Yet so far, pay raises have been modest. Average hourly earnings rose 2.8 percent in September compared with a year earlier.

It’s a sharp turnaround from the Great Recession and its aftermath. In 2009, there were as many as six unemployed workers for each available job. Now, that number has fallen below one.

Employers hired roughly 5.8 million people in August, the report showed. That is also the most on record, but that increase partly reflects population growth. The percentage of the workforce that found jobs in August ticked up to 3.9 percent from 3.8 percent in July. That matched an 11-year high first reached in May.