About 36,000 Utahns were out of work in November, but at the same time 22,000 others have found jobs in the past 12 months, Utah's Department of Employment Security said.

In its monthly report, the department said the growth rate in non-farm jobs for the past year was 3.4 percent, compared with a 1.6 percent rate for the 12-month period ending November 1987."The doubling of this indicator in a 12-month period evidences the economic recovery that Utah is experiencing," Job Service economists said.

Meanwhile, Utah's November jobless rate of 4.8 percent remained unchanged from last month but was 1 percent lower than November 1987's rate. The number of unemployed last month, 36,000, was 14.7 percent less than the same month last year.

"Most industries are presently contributing to this progress," Job Service said. "Those that are not are approximately stable" and not suffering big cutbacks. "This mood should continue to produce moderate employment growth for the next several months."

The service industry made the largest contribution, again, to Utah's latest surge in job growth. Job Service said that when the 1988 employment data are finalized, services will be the state's No. 1 employer for the first time.

Prior to 1987, Utah's trade industry contributed the most jobs in the last 10 years. And for nearly 35 years, government jobs were more numerous than any other sector.

But since November 1987, 11,200 service industry jobs have been created. Nearly half of the new service jobs are in business services, which have grown 13.3 percent in the last year.

The 7.4 percent year-over growth rate for all services is double that of manufacturing (3.7 percent), which ranks third after settling from a growth spurt at the first of the year. Ranking second in job growth was transportation with a 4.6 percent rate, on the strength of gains in the trucking and airline industries.