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CalcMax

Time and a Half Calculator

Range: 0.01 – 1,000,000

Range: 0 – 1,000

Result

30.00

Time and a half rate

Double time rate
40.00
Extra per hour
10.00
Regular pay
160.00
Those hours at time and a half
240.00
Extra against the normal rate
80.00

Time and a half is a phrase rather than a number, which is why it needs a page: the name says how the rate is built and never says what it comes to. Enter an hourly rate and the number of hours worked at that multiple, and this page returns the rate, the premium inside it, the ordinary pay, the pay at that multiple, and the difference between the two. At 20 an hour and eight hours, the multiple gives 30.00 an hour, of which 10.00 is the premium over the ordinary rate, and the day is 240.00 against an ordinary 160.00 — a difference of 80.00. The multiple is fixed at one and a half here, and that is the point of the page rather than a limitation of it. A calculator for a phrase should do what the phrase says; a page that also let you type the multiple would stop being a page about time and a half the moment somebody typed two. The page that takes the multiple as an input is a different page answering a different question, and it starts from a pair of clock times rather than from a number of hours: use that one when what you have is a shift, and this one when what you have is a rate and a count of hours. The last row is worth a sentence, because it is a subtraction rather than a multiplication. The premium here is the difference between the two pay figures on the panel, not the hourly premium multiplied by the hours. Those two agree arithmetically and cannot both be printed to the cent at once, and the page chooses the version that lets you add rather than the version that lets you multiply: the ordinary pay plus the premium equals the pay at the multiple, exactly, on the figures shown. It is the same convention as a line on an invoice, where the unit price is rounded and the line total is not recomputed from it. One more thing the page does not do is tell you when this multiple applies. It is a common arrangement and the phrase is common, and whether it is required, negotiated or merely offered where you work is a question about your contract and your local rules rather than about this arithmetic.

Three common multiples on a rate of 20 an hour

MultipleRatePremium per hour
1.53010
24020
36040

Every row locks the hourly rate at 20 and moves only the multiple, so the middle column is the left column applied to the same rate and the last column is that result minus the ordinary 20.00. The three rows are the three names in circulation — one and a half times, double time and triple time — and the panel this page is built around computes the first of them, with the other two printed because the step between the names is the thing worth seeing: 30.00, 40.00 and 60.00 an hour, with premiums of 10.00, 20.00 and 40.00. The premium column does not move in step with the rate column, and that is the arithmetic worth reading off the table: doubling the multiple from 1.5 to 3 doubles the rate but quadruples the premium, because the premium is measured against a rate of 20 that is already being paid. The table says nothing about where these names come from or when any of them applies, and it holds no hours: it is about rates, and the panel is where hours turn them into money.

Formula

Rate at the multiple ＝ hourly rate × 1.5　｜　Pay at the multiple ＝ hourly rate × 1.5 × hours

hourlyRate
The ordinary rate, before the multiple is applied. Everything on the panel is derived from it, which is why a rate of zero is rejected: it would produce a panel of zeroes rather than an answer
hoursAtTimeAndAHalf
How many hours are worked at the multiple. Hours worked at the ordinary rate are outside this page, which is why the panel shows both pay figures rather than only the larger one
timeAndAHalfRate
The hourly rate once the multiple is applied. It is the figure the phrase is asking for, and at 20 an hour it is 30.00
premiumPerHour
The part of that rate that is above the ordinary one. It is what the multiple is worth as a per-hour figure rather than as a total, and at 20 an hour it is 10.00
doubleTimeRate
The same rate at twice the ordinary one, printed because double time is the neighbouring phrase and the comparison is the useful part: it tells you what the hours would be worth under the next name up
regularPay
What those hours would have paid at the ordinary rate, with no multiple. It is the baseline the other pay figure is measured against, and the page cannot state the difference without it
extraPay
The pay at the multiple minus the ordinary pay, taken as a subtraction between the two figures actually shown rather than as the hourly premium times the hours

Use it when you have a rate and a count of hours and want to know what the phrase comes to: checking a payslip line for hours described as time and a half, quoting a shift to somebody, or comparing an offer that describes its extra hours by name rather than by number. Use the overtime page instead when what you have is a start time and an end time, or when the multiple is something other than one and a half.

Worked examples

  1. Default case: 20 an hour, eight hours at the multiple

    1. Rate at the multiple: 20 × 1.5 ＝ 30.00　｜　premium per hour: 20 × 0.5 ＝ 10.00　｜　double time rate: 20 × 2 ＝ 40.00
    2. Ordinary pay for those hours: 20 × 8 ＝ 160.00
    3. Pay at the multiple: 20 × 1.5 × 8 ＝ 240.00
    4. Premium: 240.00 − 160.00 ＝ 80.00

    20 becoming 30 and 8 hours becoming 80.00 of extra pay is the whole page in one row, and it is why the default rate is 20 rather than the 30 that the neighbouring page uses: two round numbers one and a half apart read faster than any other pair. Check the addition rather than the multiplication: 160.00 plus 80.00 is 240.00 exactly, which is the identity the last row is built to preserve.

  2. 25 an hour over twelve hours

    1. Rate at the multiple: 25 × 1.5 ＝ 37.50　｜　premium per hour: 25 × 0.5 ＝ 12.50　｜　double time rate: 25 × 2 ＝ 50.00
    2. Ordinary pay for those hours: 25 × 12 ＝ 300.00
    3. Pay at the multiple: 25 × 1.5 × 12 ＝ 450.00
    4. Premium: 450.00 − 300.00 ＝ 150.00

    A rate ending in a half is where the cents show up and where the arithmetic stays exact: 37.50 an hour, a 12.50 premium, and a total premium of 150.00 that is also 12.50 times twelve. This is the case where multiplying the hourly premium back out gives the same answer as the subtraction, which is not true of every rate.

  3. A rate of 0.01 an hour

    1. Rate at the multiple: 0.01 × 1.5 ＝ 0.015, rounded to two decimals ＝ 0.02
    2. Double time rate: 0.01 × 2 ＝ 0.02　— the same figure, from a different calculation
    3. Ordinary pay: 0.01 × 8 ＝ 0.08　｜　pay at the multiple: 0.01 × 1.5 × 8 ＝ 0.12
    4. Premium: 0.12 − 0.08 ＝ 0.04

    The smallest rate the field accepts produces the clearest demonstration of what rounding does to a rate row. One and a half times a hundredth of a unit is one and a half hundredths, which rounds up to two hundredths — the same figure as double time, which is a genuine rounding result rather than a copy of it. The premium row still adds up, and the two rate rows agreeing is the arithmetic rather than an error.

  4. 15 an hour over ten hours

    1. Rate at the multiple: 15 × 1.5 ＝ 22.50　｜　premium per hour: 15 × 0.5 ＝ 7.50　｜　double time rate: 15 × 2 ＝ 30.00
    2. Ordinary pay: 15 × 10 ＝ 150.00
    3. Pay at the multiple: 15 × 1.5 × 10 ＝ 225.00
    4. Premium: 225.00 − 150.00 ＝ 75.00

    Ten hours at 15 is the case where the two ways of thinking about the extra pay are easiest to tell apart: the hours paid at the multiple are worth 225.00, the same hours at the ordinary rate are worth 150.00, and the 75.00 between them is what the multiple bought. It is also half of the ordinary pay, which is exactly what a one and a half multiple means.

Limitations

This page computes one multiple. It does not let you enter a different one, which is deliberate rather than missing: a page for a named phrase should do what the phrase says, and a page that accepted any multiple would stop being about time and a half as soon as somebody typed two. The page that takes the multiple as an input, and that works from a start time and an end time rather than from a number of hours, is the overtime calculator. Nothing here says when this multiple applies. Whether hours are paid at one and a half because a law requires it, because a contract provides it or because an employer chooses to is a question about where you work, and this page has no field for that and makes no assertion about it: the multiple is a name in common use and the arithmetic on the panel is the same whichever of those three reasons put it there. Everything is gross, no currency is attached, and no tax, contribution or deduction is modelled, so the difference row is a difference in what is paid rather than in what arrives. Two conventions of the arithmetic are worth knowing. The three rate rows are rounded to two decimals for display while the two pay rows are computed from the unrounded rate, so the hourly premium multiplied by the hours can land a cent away from the premium row. At a rate of 18.75 the panel shows a premium of 9.38 an hour, and 9.38 times six is 56.28 while the premium row reads 56.25. The panel keeps the version that adds up — ordinary pay plus premium equals pay at the multiple, exactly — because that is the identity a reader is most likely to check. The second convention is that a rate of zero is refused. Every row is a multiple of the hourly rate, so zero would produce a panel of zeroes that describes no rate at all rather than answering a question. The page also assumes the hours are all at the one multiple: a shift where some hours are ordinary, some are at the multiple and some are at double time needs to be split and run more than once, because no single pair of numbers describes it.

Frequently asked questions

What does time and a half work out to?
One and a half times the ordinary hourly rate, which on 20 an hour is 30.00 and on 25 an hour is 37.50. The phrase describes how the rate is built and stops there, which is why the panel separates two things the name runs together: the rate at the multiple, and the premium inside it. On a rate of 20 the premium is 10.00 an hour — the half, where the one is the ordinary rate you would have been paid anyway. The premium is the figure to reach for when the question is what the arrangement is worth rather than what the hours cost.
Why can't I change the multiple?
Because a page named after a phrase should compute that phrase. A calculator for time and a half that accepted a multiple of two would be answering a question the person searching for it did not ask, and there is already a page that takes the multiple as an input and runs from a start time and an end time rather than from a number of hours. Keep the two apart and each one is straightforward; merge them and the phrase has no landing page of its own.
Is time and a half required by law?
Not everywhere, and this page makes no claim about it. The name is in common use and the multiple is one that contracts, collective agreements and local rules frequently provide for, but whether it applies to a particular job is a question about your contract and where you work. That is why the page keeps the multiple out of its text and puts nothing on the panel about which arrangements require it: an arithmetic page can tell you what one and a half times a rate is, and cannot tell you whether you are owed it.
Why is the premium a subtraction instead of the hourly premium times the hours?
Because the panel has to add up on the figures it prints, and it cannot do both. The hourly premium is rounded to the cent for display and the pay figures are computed from the unrounded rate, so multiplying the displayed premium by the hours can miss the displayed difference by a cent. At a rate of 18.75 the premium shows as 9.38 and six hours of it comes to 56.28, while the premium row reads 56.25. The page picks the subtraction, so ordinary pay plus premium equals pay at the multiple exactly — the same choice an invoice makes when it rounds a unit price and keeps the line total.
What is double time?
The next phrase up: twice the ordinary rate rather than one and a half times it. The panel prints it because the comparison is the useful part of seeing it — on a rate of 20, the hours are worth 30.00 each at the multiple this page is about and 40.00 each at double time, so the step from one name to the next is worth 10.00 an hour on that rate. The premium over the ordinary rate doubles with it, from 10.00 to 20.00. Nothing on the page asserts when either applies.
What if some hours are at the multiple and some are not?
Run the page twice, once for each group, and add the results. The panel describes a single block of hours all paid at the one multiple, and the ordinary pay row is there as the baseline rather than as a model of the rest of the shift: it says what these hours would have paid without the multiple, not what the other hours of the day were paid. A shift split between ordinary hours, hours at the multiple and hours at double time is three applications of the same arithmetic, and no single pair of inputs describes it.

References

Related calculators

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