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Percent Error Calculator

This percent error calculator shows how far a measurement strays from the true value, as a percent. Enter your measured value and the accepted value, and you'll get the percent error, the absolute error, and whether you came in high or low, with the formula and steps laid out. Everything updates as you type, so it's quick for a lab report or homework. It's free and runs in your browser, so nothing you enter leaves your device.

  • Percent error
  • Absolute error
  • High or low
  • Formula shown
  • Worked steps

Last updated June 17, 2026 With the formula Reviewed by the Calcowa team

Percent error
2 % error
0.2
Absolute error
Too low
Direction
-2%
Signed error

The measured value is what you got; the true value is the correct or accepted one you compare against. Comparing two equal readings instead? Use the percentage difference calculator.

The basics

How do you calculate percent error?

Percent error tells you how close a measurement is to the value it should have been, written as a percent of that true value. The steps are short. First find the gap by subtracting the true value from your measured value. Take the absolute value of that gap, which just drops any minus sign, since percent error reports the size of the miss rather than its direction. Divide that by the true value, then multiply by 100 to turn it into a percent. Say you measured a gravity reading of 9.8 when the accepted value is 10: the gap is 0.2, divided by 10 gives 0.02, and times 100 is a 2 percent error. A small percent means you're close to correct, and a large one points to a measurement problem or a mistake in the method. This tool runs each step the moment you type the two numbers, and it also flags whether you came in high or low and keeps the signed version, so you don't lose the direction when you need it.

percent error = |measured − true| ÷ |true| × 100
Step by step

Working it out, step by step

Here's the routine for a 9.8 measurement against a true value of 10, and it's just three steps:

  1. 1

    Find the gapSubtract the true value from the measured one: 9.8 minus 10 is -0.2.

  2. 2

    Drop the signTake the absolute value, so -0.2 becomes 0.2.

  3. 3

    Divide and scale0.2 over 10 is 0.02, times 100, which is a 2 percent error.

Quick reference

Percent error examples

Here are a few measurements against their true values. It's the same formula each time, so you'll spot the pattern fast, and you can check your own work against it. If yours doesn't line up, it's usually a divide-by-the-wrong-number slip.

MeasuredTrue valuePercent error
9.8102%
1051005%
1982001%
53506%
FAQ

Frequently asked questions

You type the value you measured and the true or accepted value, and it works out how far off you were as a percent. It finds the gap between the two, divides by the true value, and multiplies by 100. It also shows the absolute error and whether your measurement came in high or low. Everything runs in your browser, so you'll see the result update as you type, and nothing you enter leaves your device.

Percent error is the size of your mistake measured against the true value. You subtract the true value from your measured value, take the absolute value so the result is positive, divide by the true value, then multiply by 100. So if you measured 9.8 and the true value is 10, the gap is 0.2, and 0.2 divided by 10 is 0.02, which is 2 percent. The calculator runs that the moment you type both numbers.

They answer different questions, so it's worth keeping them apart. Percent error compares a measurement to a known true value, dividing by that true value, which is what you want in a lab or experiment. Percent difference compares two values when neither is the reference, dividing by their average instead. If you have a correct answer to compare against, you want percent error. For two readings of equal standing, use our percent difference tool.

Yes, it can, and that just means your measurement was more than double the true value or far below it. A reading of 25 against a true value of 10 gives a 150 percent error, for example. A small percent error means your measurement is close to correct, while a large one flags a big miss or a mistake in your method. There's no upper limit, though in careful work you'd expect the number to stay low.

Because percent error is about the size of the mistake, not its direction, so it's always reported as a positive number. The absolute value strips off the minus sign you'd get when a measurement lands below the true value. This tool still tells you the direction separately, marking whether you came in high or low, so you don't lose that detail. If you want the signed version, the relative error shown alongside keeps the sign.

Yes, it's completely free, with no sign-up, and it runs right in your browser, so nothing you enter leaves your device. Type your measured value and the true value, and read the percent error, the absolute error, and the direction in a tap. Bookmark it for lab reports, chemistry and physics homework, or quality checks, and you'll have the formula and the answer in one place whenever you need them.

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