Overtime pay calculator: what a long week is actually worth

Overtime pay looks like a single multiplication and rarely is. The federal rule is that non-exempt employees receive at least one and a half times their regular rate for hours worked beyond 40 in a workweek. Two of those words carry most of the difficulty: workweek and regular rate.

This page splits a week into regular hours, overtime hours and any double-time hours, prices each at the right rate, and shows the premium separately from the straight-time pay it sits on top of. It also shows the average hourly figure across the whole week, which is the number to use when comparing a heavy week against a normal one.

The arithmetic is easy. The errors are almost always in the setup: the wrong period, the wrong rate, or bonus money left out of the base.

#The formula

Formula: Gross week = (regular hours x rate) + (overtime hours x rate x multiplier) + (double-time hours x rate x 2)

Where:

• Regular hours = min(total hours worked, 40).
• Overtime hours = max(total hours - 40, 0) plus any extra hours a daily rule adds.
• Rate is the regular rate of pay, which is not always the base hourly rate.
• Multiplier is 1.5 under the federal minimum, though contracts and state rules can set it higher.

Two derived figures follow:

Formula: Overtime premium = overtime hours x rate x (multiplier - 1) and Average hourly = gross week / total hours

The premium is the part that exists only because the hours were overtime. Separating it matters, because payroll rules and many union contracts treat straight time and premium as distinct components.

#A worked example, step by step

A regular rate of $24.00 an hour, 46 hours worked in the week, time and a half, no daily rule and no double time.

1. Regular hours: min(46, 40) = 40.
2. Regular pay: 40 x 24.00 = $960.00.
3. Overtime hours: 46 - 40 = 6.
4. Overtime rate: 24.00 x 1.5 = $36.00.
5. Overtime pay: 6 x 36.00 = $216.00.
6. Gross for the week: 960.00 + 216.00 = $1,176.00.
7. Premium above straight time: 216.00 - (6 x 24.00) = 216.00 - 144.00 = $72.00.
8. Average hourly across 46 hours: 1,176.00 / 46 = $25.57.
9. Annualized at 52 weeks: 1,176.00 x 52 = $61,152.

Six overtime hours raised gross pay by 22.5% over a 40-hour week, but raised the average hourly rate by only 6.5%. That gap is the arithmetic behind the feeling that long weeks pay less than they seem to.

#The workweek is a fixed period

Under the Fair Labor Standards Act a workweek is a fixed and regularly recurring period of 168 consecutive hours: seven consecutive 24-hour days. It does not have to start on Monday or at midnight, but once an employer sets it, it stays put.

Overtime is owed on hours over 40 within that single week. Weeks cannot be averaged together, even when the pay period covers two of them.

Warning: a worker on $24.00 an hour who works 50 hours one week and 30 the next is owed 40 x 24 + 10 x 36 = $1,320 for the first week and 30 x 24 = $720 for the second, a total of $2,040. Treating the pair as 80 hours at straight time gives $1,920. The shortfall of $120 is the overtime premium that averaging erases.

#The regular rate of pay is not just the base rate

The regular rate is total straight-time earnings for the week divided by total hours worked. It includes nondiscretionary bonuses, production and attendance bonuses, shift differentials and commissions, because those are compensation for work performed. Discretionary gifts, genuine reimbursements and certain premium payments are excluded.

Consider $20.00 an hour, 45 hours worked, plus a $100 attendance bonus promised in advance.

1. Straight-time earnings: 45 x 20.00 = 900.00, plus the bonus, = $1,000.00.
2. Regular rate: 1,000.00 / 45 = $22.2222 an hour.
3. Overtime premium owed: 5 x 0.5 x 22.2222 = $55.56.
4. Total due: 900.00 + 100.00 + 55.56 = $1,055.56.

Paying overtime on the base rate alone gives 40 x 20 + 5 x 30 + 100 = $1,050.00. The $5.56 gap is small on one week and becomes real money across a year and a workforce. The same logic applies to a shift differential: an extra $2.00 an hour on night shifts raises the regular rate, and therefore raises the overtime rate.

#How overtime scales with hours

At a $24.00 regular rate, time and a half after 40 hours:

Twenty extra hours, half again as much time at work, lifts the average hourly figure from $24.00 to $28.00. Gross pay rises 75%; the rate per hour of your life rises 16.7%.

#What the multiplier changes

The same six overtime hours at $24.00, under different rules:

Straight time for hours over 40 is not lawful for non-exempt employees under federal rules. The 1x row exists because some schedules mix paid non-overtime hours into the same week, and because exempt salaried workers are effectively on it.

#Where each input comes from

Regular hourly rate. Start with the base rate on your stub, then add any nondiscretionary bonus or differential for the week using the division shown above. If your pay is entirely hourly with no extras, the base rate is the regular rate.

Total hours worked this week. Use the fixed workweek your employer has defined, not the pay period and not the calendar week if they differ. Count all time you are required to be on duty.

Extra overtime hours from a daily rule. Some states require overtime after a set number of hours in a single day, regardless of the weekly total. Enter only the hours a daily rule captures that the 40-hour test has not already counted, so nothing is double-counted.

Double-time hours. Certain state rules and many contracts set double time after a long day, on a seventh consecutive day, or on holidays.

Sensitivity: hours are the dominant input above 40, since each one carries the multiplier. The rate scales everything proportionally.

#Exempt and non-exempt in general terms

Overtime protections apply to non-exempt employees. Exemptions exist for certain executive, administrative, professional, outside sales and computer roles, and they turn on both how someone is paid and what they actually do, not on a job title or on being salaried. Being paid a salary does not by itself remove overtime rights.

Some states set their own tests and their own salary thresholds, and where federal and state rules differ, the one more favorable to the employee applies. The Department of Labor publishes the current federal tests.

#How to read the result

Gross for the week is the pre-tax figure that should appear on your stub for those hours. Compare it line by line: regular hours at the regular rate, overtime hours at the multiplier.

The premium figure isolates what the overtime rule itself was worth. The average hourly figure is the honest measure of what your time earned once the long week is spread across every hour of it.

The annualized column assumes every week looks like this one, which is rarely true. For a stable schedule, the hourly to salary calculator is the better annual view, and the take-home pay calculator converts either into net pay.

The comparison the average hourly figure supports is between offers, not between weeks. A role at $26.00 an hour with no overtime available and a role at $24.00 with six guaranteed overtime hours land within thirty cents of each other on the average measure, but the second one costs six more hours a week: roughly 300 hours a year, or seven and a half additional forty-hour weeks. Whether that trade is worth making is a personal question, but the arithmetic favors reading the average figure alongside the hours, never on its own.

If your stub and this page disagree, work through the difference line by line before concluding anything. The three places the numbers usually part company are the defined start of the workweek, whether a bonus belonged in the regular rate, and whether paid leave hours were counted toward the 40-hour threshold. A time card review of the raw daily hours resolves most disputes faster than arguing about the total.

#What this model leaves out

• Taxes. All figures are gross. Overtime is taxed as ordinary wages; it is not taxed at a special rate, though a large check can push withholding up temporarily.
• State rules. Daily overtime, seventh-day rules and higher multipliers vary. Enter them manually.
• The regular rate calculation. The model uses the rate you type. It cannot know about a bonus you have not folded in.
• Unpaid time. Meal breaks, travel and on-call time follow their own rules.
• Compensatory time. Some public-sector employees may receive time off instead of cash under specific conditions.
• Unpaid overtime. Hours you work without pay never appear here. The real hourly wage calculator prices those, and the PTO accrual calculator covers paid leave.

#Common mistakes

Averaging two weeks in one pay period. Each workweek stands alone. Averaging is the most common and most expensive error.

Paying straight time for extra hours. For non-exempt employees, hours over 40 carry at least the 1.5 multiplier.

Leaving bonuses out of the regular rate. Nondiscretionary bonuses and shift differentials belong in the base, as the worked example shows.

Counting paid leave as hours worked. Vacation and holiday hours are paid but are not normally hours worked, so a 48-hour week containing 8 holiday hours may contain no overtime at all.

Assuming salary means exempt. Exempt status depends on duties and pay structure together.

Reading the annualized figure as a forecast. It is one week extended across 52, not a prediction of the year.