Method and source check
Last checked:
Automated source and implementation review, including worked examples and documented numerical limits. This review does not provide professional advice or specialist approval.
Method
Compare entered weekly hours with a positive, user-selected weekly reference. The 40-hour default is editable. The result is a relative percentage and FTE-style ratio, with a below/equal/above comparison to that reference.
relative FTE = hours worked / reference hours
percentage of reference = (hours worked / reference hours) Ă— 100
Variables and units
- hours worked
- positive hours in one week; hours/week
- reference hours
- positive hours for the same week chosen by the user; hours/week
- relative FTE
- unitless ratio to the selected reference; not a regulatory employee count
Worked example
For 20 hours in a week and a 40-hour weekly reference, 20 / 40 = 0.50 relative FTE and (20 / 40) Ă— 100 = 50%, below the selected reference.
Limitations
Percentage and relative FTE are each rounded to two decimals with Number(value.toFixed(2)); entered hour values are displayed as entered. The comparison badge uses the unrounded percentage, so 29.9/30 displays 1.00 FTE while remaining below the chosen reference. Very small positive ratios may display 0.00.
- This is a simple hours ratio. It does not determine legal overtime, employment classification, pay, benefits eligibility, or compliance.
- The result can exceed 100% or 1.00 when entered hours exceed the selected reference.
- Input pairs that produce a nonfinite ratio or percentage are rejected. Large finite values remain allowed; their display may use exponent notation.
- 20/40 = 0.50 and 50%, below reference.
- 40/40 = 1.00 and 100%, equal to reference.
- 50/40 = 1.25 and 125%, above reference; this alone is not an overtime determination.
- 40/35 = 1.14 and 114.29%, above a user-selected 35-hour reference.
- 29.9/30 = 1.00 displayed FTE and 99.67%, with below-reference badge because the comparison uses the unrounded ratio.
- Zero and negative hours rejected; 1e308/1e-308 and 1e307/1 rejected because the ratio or percentage is nonfinite.
- 0.01/40 retains 0.01 entered hours, displays 0.03% and 0.00 relative FTE after rounding.
- 1e305/1 remains finite: percentage 1e307 and relative FTE 1e305, possibly shown in exponent notation.
Sources
- Glossary: Full-time equivalent (FTE) — Eurostat(opens in a new tab)
- Solve Proportions and their Applications — OpenStax, Rice University(opens in a new tab)
- Fact Sheet #23: Overtime Pay Requirements of the FLSA — U.S. Department of Labor(opens in a new tab)
- Determining if an employer is an applicable large employer — Internal Revenue Service(opens in a new tab)