How the Unemployment Calculator works
This tool applies the standard labor-statistics definition of the unemployment rate: the share of the labor force that is not working but is actively looking for work. It also derives two companion figures — the labor force participation rate and the employment-population ratio — from the same three inputs, so you can see the full picture of how a population splits between working, looking for work, and neither.
The formulas
Enter the number of employed people, the number of unemployed people (out of work and actively seeking it), and the civilian working-age population (typically age 16 and over, excluding active-duty military and institutionalized people). From these:
Labor Force = Employed + Unemployed
Unemployment Rate = Unemployed / Labor Force x 100
Labor Force Participation Rate = Labor Force / Population x 100
Employment-Population Ratio = Employed / Population x 100
Only people who are working, or who are not working but actively searching, count toward the labor force. Anyone who is not working and not searching — a full-time student, a retiree, or someone who has stopped looking — is outside the labor force and does not affect the unemployment rate, though they do lower the participation rate.
Worked example
With 47,500 employed, 2,500 unemployed, and a working-age population of 80,000: the labor force is 47,500 + 2,500 = 50,000. The unemployment rate is 2,500 / 50,000 x 100 = 5.00%. The participation rate is 50,000 / 80,000 x 100 = 62.50%, and the employment-population ratio is 47,500 / 80,000 x 100 = 59.38%.
Why the unemployment rate and participation rate can move differently
Because the unemployment rate is measured against the labor force rather than the total population, a wave of discouraged workers leaving the labor force can lower the unemployment rate even though fewer people are working — the participation rate falls at the same time. Reading the unemployment rate alongside the participation rate and the employment-population ratio gives a fuller view than any single figure alone.
Assumptions and scope
This calculator performs pure arithmetic on the three numbers you provide; it does not source or estimate labor-market data itself. It assumes the standard definitions above (labor force = employed + unemployed actively seeking work; population = the civilian working-age base used for participation and employment-population ratios). If your employed and unemployed figures already come from a survey or dataset with a different scope, the results inherit that scope.