US 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 record dating back to December 2000, the Labor Department said Tuesday. That is also far more than the 6.2 million of people who were unemployed in August.

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.

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.

Job openings rose in August in professional and business services, which include mostly higher-paying positions in engineering, accounting and architecture, as well as temporary help. Postings in that category have jumped 27 percent from a year ago.

Construction firms are also desperate for workers, posting 298,000 open jobs. That’s nearly 39 percent more than a year ago. Job openings also increased in finance and insurance and health care.

Openings fell in August from the previous month in manufacturing, retail, and slipped slightly in hotels and restaurants.