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How To Calculate Overtime Pay

Overtime pay is not a single multiplication. It is a split: hours up to a threshold are paid at the base rate, hours beyond it are paid at the base rate times a multiplier, and the two bands are added.

Quick Answer

Total pay = min(H, T) x R + max(0, H - T) x R x M

H
Hours worked in the period
T
Threshold before overtime starts, often 40 hours a week
R
Base hourly rate
M
Overtime multiplier — 1.5 for time and a half, 2 for double time

Split the week at the threshold, pay the first band at the base rate and the rest at the base rate times the multiplier. At $20 an hour with 40 standard hours and 45 worked, the week pays 40 x 20 = 800 plus 5 x 20 x 1.5 = 150, a total of 950. That is an overtime premium of 50 over paying all 45 hours at the straight rate, and an effective rate of 21.1111111 per hour across the whole week.

What Is Overtime Pay?

Overtime pay is the extra money owed when hours worked cross a threshold set by law or by contract. The arithmetic splits the period into two bands: hours up to the threshold are paid at the base rate, and hours beyond it are paid at the base rate multiplied by a factor. With a $20 base rate, a 40-hour threshold and 45 hours worked, the week pays 40 x 20 = 800 for the standard band plus 5 x 20 x 1.5 = 150 for the overtime band, a total of 950. Almost every variation on this page is a change to one of three numbers: the threshold, the multiplier, or the base rate.

Time and a half means the multiplier is 1.5, so each overtime hour is worth one and a half times the normal hourly rate. At $20 an hour, an overtime hour is worth $30. Double time means a multiplier of 2, so the same hour is worth $40, and a few contracts or jurisdictions use it for particular days such as Sundays or public holidays. The multiplier applies only to the hours above the threshold; the standard hours inside the threshold are always paid at the plain rate, which is why the split matters more than the multiplier alone. Reading the multiplier as the whole story is the quickest way to misjudge a payslip.

The threshold is where places differ most, and it is the number people most often assume. The common weekly rule starts overtime after 40 hours in a seven-day period. Some places instead, or in addition, count daily hours and begin overtime after 8 hours in a single day, which can make a 12-hour Tuesday expensive even when the whole week stays under 40. A few apply both rules at once, so the obligation is whichever is more generous to the worker. The calculator's "hours before overtime starts" field is exactly this threshold, and it is a figure to look up rather than guess.

The counterintuitive result is that the effective hourly rate rises as overtime grows. A worker on $20 an hour who works 45 hours does not earn $20 per hour across the week; the total of 950 divided by 45 hours gives 21.1111111 per hour, which is 1.1111111 above the nominal rate. Each overtime hour drags the average upward because it is paid at a premium. Two people on the same base rate can therefore have different effective rates simply because one worked more overtime, and comparing only the headline rate hides that.

The reason the average climbs is that a high-priced band is being mixed into a low-priced one. If all 45 hours were paid at the straight $20, the week would total 900. The five overtime hours are paid 5 x 30 = 150 rather than 5 x 20 = 100, so the overtime premium is 50 for the week, and the total rises to 950. It is that 50, not the whole 150, that the higher average reflects. Keeping the premium separate from the overtime pay makes the arithmetic far easier to check.

The threshold and the multiplier can both be set by contract above the legal minimum. An employer may choose to pay time and a half after 35 hours, or double time on Sundays, or a shift differential for nights. When a contract and the law disagree, the more generous of the two usually governs, but the arithmetic is unchanged: find the threshold, find the multiplier, then split the period and price each band. Everything else is a detail about which number to use. When in doubt, run both the contract figure and the legal figure and compare the totals, because the larger one is normally the one you are owed.

Exempt and non-exempt is a legal category rather than a comment on seniority, and it decides whether the formula applies at all. In the United States, non-exempt employees are entitled to overtime under the Fair Labor Standards Act, while exempt employees — typically salaried workers in executive, administrative or professional roles who meet certain tests — are not. This page treats the distinction only as vocabulary. Whether you are exempt is a question for your contract and local law, not for arithmetic, and it should be settled before any calculation.

Salaried workers who are non-exempt are owed overtime too, and the route is a conversion. Divide the annual salary by the number of hours it represents — the conventional 2,080 is 40 hours across 52 weeks — to recover an hourly rate, then apply the same split. A $62,400 salary is $30 an hour on that basis, so a 50-hour week pays 40 x 30 = 1,200 plus 10 x 30 x 1.5 = 450, a total of 1,650. Forgetting the annual weeks when converting a monthly figure is one of the most common ways this conversion goes wrong.

Two warnings close the topic. First, rules vary widely by country, state, province and sometimes city, and thresholds, multipliers, averaging periods, rounding and exemptions all differ; nothing on this page is legal advice, and the local statute and your employment contract decide. Second, paid leave, public holidays and paid time off generally do not count toward the hours-worked threshold, because most rules count only hours actually worked. A week containing a paid holiday is still measured on the hours spent on the job.

Formula

Regular pay = min(H, T) x R

Cap the hours at the threshold and pay them at the base rate. If hours worked never reach the threshold, the whole week is standard pay.

SymbolMeaning
HHours worked in the period
TThreshold before overtime starts
RBase hourly rate

Overtime pay = max(0, H - T) x R x M

Only the hours above the threshold attract the multiplier. The max ensures a week under the threshold produces no overtime at all.

SymbolMeaning
MOvertime multiplier
PotOvertime pay

Total = Preg + Pot, effective rate = Total / H

Add the two bands, then divide by all hours worked. The effective rate rises above the base rate whenever overtime is present.

SymbolMeaning
PTotal pay for the period
ReffEffective hourly rate

How To Calculate Overtime Pay

  1. 1

    Find the threshold that actually applies

    Establish whether the rule is a weekly threshold such as 40 hours, a daily threshold such as 8 hours, or both. The number decides how the week is split, and it comes from local law and the contract rather than from a default. Write it down before doing any arithmetic.

  2. 2

    Split the hours into a standard band and an overtime band

    Standard hours are min(H, T); overtime hours are max(0, H - T). For 45 hours against a 40-hour threshold that gives 40 standard and 5 overtime. Keeping the two bands apart is what stops the multiplier from leaking onto the wrong hours.

  3. 3

    Price the standard band at the base rate

    Multiply the standard hours by the base rate: 40 x $20 = 800. These hours never attract the multiplier, no matter how large the multiplier is or how many overtime hours follow them.

  4. 4

    Price the overtime band at the base rate times the multiplier

    Multiply only the overtime hours by the base rate and the multiplier: 5 x $20 x 1.5 = 150. Applying the multiplier to the whole 45 hours instead is the mistake that inflates this band and the total.

  5. 5

    Add the bands and divide by total hours

    Total pay is 800 + 150 = 950. Divide by all 45 hours to get the effective rate of 21.1111111 per hour. The gap above the nominal $20 is the visible effect of the overtime premium.

Examples

Example 1: A 45-hour week at $20 an hour

Base hourly rate
$20
Hours worked this week
45
Hours before overtime starts
40
Overtime multiplier
1.5
StepCalculationResult
Standard hoursmin(45, 40)40 hours
Overtime hoursmax(0, 45 - 40)5 hours
Pay for the standard hours40 x $20$800.00
Pay for the overtime hours5 x $20 x 1.5$150.00
Total pay$800 + $150$950.00

Result: The week totals $950.00 — $800.00 for the first 40 hours and $150.00 for the 5 overtime hours at time and a half, which is an effective rate of 21.1111111 per hour.

Example 2: The same week at double time

Base hourly rate
$20
Hours worked this week
45
Hours before overtime starts
40
Overtime multiplier
2
StepCalculationResult
Overtime hoursmax(0, 45 - 40)5 hours
Overtime pay at double time5 x $20 x 2$200.00
Total pay$800 + $200$1000.00
Effective hourly rate$1000 / 45$22.2222

Result: At double time the same week pays $1000.00, which lifts the effective rate to $22.2222 per hour across all 45 hours — 50 more than at time and a half.

Example 3: From an annual salary to a 50-hour week

Annual salary
$62,400
Conventional annual hours
2,080
Hours this week
50
Overtime multiplier
1.5
StepCalculationResult
Base hourly rate62400 / 2080$30.00
Overtime hours50 - 4010 hours
Regular pay40 x $30$1200.00
Overtime pay10 x $30 x 1.5$450.00
Total pay$1200 + $450$1650.00

Result: The 50-hour week pays $1650.00 — $1200.00 for 40 standard hours at $30 and $450.00 for 10 overtime hours at time and a half.

Calculator

Total pay

$950.00

Pay for the standard hours
$800.00
Pay for the overtime hours
$150.00
Overtime hours
5
Effective hourly rate across all hours
$21.11

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the Overtime Pay calculator page.

Common Mistakes

  • Paying all the hours at the straight rate

    Treating 45 hours as 45 x $20 gives 900, which is 50 short of the correct 950. The premium applies only to the 5 hours above the threshold, but those 5 hours are worth $30 each rather than $20, and that gap is the whole point of the rule.

  • Counting paid leave toward the 40-hour threshold

    Paid holidays, sick days and paid time off are usually not hours worked, so they generally do not push a week over the threshold. A week of 32 worked hours plus 8 paid holiday hours is still a 32-hour week for overtime purposes in most rules.

  • Forgetting the annual weeks when converting a monthly salary

    A monthly salary becomes an hourly rate only after choosing an annual hours figure. Dividing a monthly salary by four weeks and then by 40 hours quietly assumes a 48-week year, which overstates the rate. Use 2,080 hours for a 40-hour, 52-week year.

  • Mixing weekly and daily overtime rules

    A weekly threshold and a daily threshold are different tests, and some places require the more generous one to be paid. Pricing a 12-hour day against the weekly rule alone can miss daily overtime, while applying the daily rule to every day can overstate a week that never breached it.

  • Applying the multiplier to total hours instead of overtime hours

    Multiplying all 45 hours by 1.5 gives 1,350 rather than 950, because it pays the first 40 hours at the premium they never earned. The multiplier belongs only to the hours above the threshold, which is why the two bands are priced separately.

FAQ

What does time and a half actually mean?

It means the overtime multiplier is 1.5, so each overtime hour is paid at one and a half times the base rate. At $20 an hour an overtime hour is worth $30. Only the hours above the threshold attract it; the standard hours inside the threshold stay at the plain rate. The premium is the difference between the multiplied rate and the base rate, not the multiplied rate itself.

Does overtime always start after 40 hours?

No. Forty hours a week is common, but some places count daily hours and start overtime after 8 hours in a day, some apply both tests, and contracts can set a lower threshold. Treat the threshold as a number to confirm locally rather than a fixed default.

Do salaried workers get overtime?

Some do and some do not, and the deciding factor is the exempt or non-exempt classification rather than the fact of being salaried. Non-exempt salaried workers are owed overtime, usually calculated by converting the salary to an hourly rate first. This is a legal question for your contract and local law.

Why does my effective hourly rate go up with overtime?

Because overtime hours are paid at a premium, and mixing a higher-priced band into the week raises the average. Working 45 hours at a $20 base rate gives an effective rate of 21.1111111 per hour, which is above the nominal rate even though the base rate never changed.

What is double time and when does it apply?

Double time is a multiplier of 2, so an overtime hour is worth twice the base rate. It is less common than time and a half and is often reserved for particular days or very long shifts. Whether it applies to you depends on the contract and the local rules, not on arithmetic.

References

  1. [1]Wikipedia, Overtime — https://en.wikipedia.org/wiki/Overtime
  2. [2]Wikipedia, Fair Labor Standards Act of 1938 — https://en.wikipedia.org/wiki/Fair_Labor_Standards_Act_of_1938
  3. [3]Wikipedia, Working time — https://en.wikipedia.org/wiki/Working_time