The Logic Behind Back Pay Calculations
The calculator determines the total difference in earnings for both regular and overtime hours over a defined period.
It subtracts the original hourly rate from the new rate and multiplies by weekly hours and weeks in the period.
Overtime uses the same logic at the 1.5x multiplier.
The core formulas:
Pay Rate Increase = New Rate - Original Rate
Regular Back Pay = Rate Increase x Hours/Week x Weeks
OT Rate Increase = (New Rate x 1.5) - (Original Rate x 1.5)
Overtime Back Pay = OT Rate Increase x OT Hours/Week x Weeks
Total Back Pay = Regular Back Pay + Overtime Back Pay
For a raise from $25 to $28/hr over 12.9 weeks with 40 regular and 5 OT hours: Regular = $3.00 x 40 x 12.9 = $1,542.86.
Overtime = $4.50 x 5 x 12.9 = $289.29.
Total = $1,832.14.
Step-by-Step Example
Consider an employee owed a raise from $25 to $28/hr, effective January 1, 2026, but not implemented until April 1, 2026.
They worked 40 regular hours and 5 overtime hours per week.
- Rate increase: $28 - $25 = $3.00/hr
- OT rate increase: ($28 x 1.5) - ($25 x 1.5) = $42.00 - $37.50 = $4.50/hr
- Weeks: 90 days / 7 = 12.9 weeks
- Regular back pay: $3.00 x 40 x 12.9 = $1,542.86
- Overtime back pay: $4.50 x 5 x 12.9 = $289.29
- Total: $1,542.86 + $289.29 = $1,832.14
Without overtime, the total drops to $1,542.86.
With 10 OT hrs/wk instead of 5, it rises to $2,121.43.
When Results May Be Inaccurate
The calculator assumes consistent weekly hours and a standard 1.5x overtime multiplier.
Results may be inaccurate when:
- Hours varied during the period (seasonal work, unpaid leave). Break into segments with different hour inputs.
- Non-standard OT multipliers apply (double time for holidays, state-specific rules). Manually adjust the rate difference.
- Benefits are affected (401k matches, insurance premiums tied to salary). Consult HR for the full financial impact beyond gross wages.
