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Unemployment & Labor-Force Participation Rates

Calculate labor-force size, unemployment and participation from consistent employed, unemployed and eligible-population counts.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

For 950 thousand employed people and 50 thousand unemployed people, the labor force is 1,000 thousand and unemployment is 5 percent. With an eligible population of 1,250 thousand, participation is 80 percent.

Labor force = employed + unemployed; unemployment rate = unemployed/labor force; participation = labor force/eligible population

Worked example

Enter these known values and leave the other values blank.

Employed population
950 thousand
Unemployed population
50 thousand
Eligible population for the participation rate
1250 thousand
Labor force
1000 thousand
Unemployment rate
5 %
Labor-force participation rate
80 %

Assumptions and limitations

  • All counts must use the same geography, reference period, population coverage and statistical definition. Units default to thousands; fractional entries can represent weighted population estimates.
  • Unemployed does not mean everyone without a job. Statistical definitions usually require availability and active job search, with specified exceptions.
  • For US CPS rates, use the civilian noninstitutional population age 16 and older as the participation denominator. Another jurisdiction may use different coverage.
  • Employed and unemployed counts are nonnegative. Labor force and eligible population are positive for defined rates, and the labor force cannot exceed that eligible population.
  • A zero labor force makes unemployment undefined, so this combined rate model rejects that denominator. A zero unemployed count with a positive labor force is valid.

Common questions

Is unemployment divided by the whole adult population?

No. Unemployment uses the labor force as its denominator. Participation uses the eligible population.

Can participation and unemployment both rise?

Yes. More people can enter the labor force while some of those entrants remain unemployed.

References

Bookify requires positive rate denominators and bounds unemployment and participation shares between zero and 100 percent.

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