Percent Error Calculator

Use this free percent error calculator to check a lab result, class measurement, or estimate against an accepted value. It shows absolute percent error, signed percent error, absolute error, relative error, and clear steps.

All tools
Smoke mascot comparing lab cards for 2.45 g/cm3 vs 2.70 g/cm3, 48 cm vs 50 cm, 105 mL vs 100 mL, and signed percent error direction.
Percent Error Calculator artwork matches the live workflow: compare measured and accepted values, keep units matched, find absolute percent error, and read whether the result was high or low. View in the smoke-kawaii gallery
Accepted vs measured Absolute percent error Signed direction Step-by-step work
2.45 g/cm3 measured vs 2.7 g/cm3 accepted9.2592592593%

Measured value is lower than accepted value.

Absolute error
0.25 g/cm3
Signed percent error
-9.2592592593%
Relative error
0.0925925926

Steps

  1. Find the error: 2.45 - 2.7 = -0.25 g/cm3.
  2. Use the absolute error: |-0.25| = 0.25 g/cm3.
  3. Divide by the accepted value size: 0.25 / 2.7 = 0.0925925926.
  4. Multiply by 100 to get 9.2592592593%.

How to use the Percent Error Calculator

  1. Enter the measured or experimental value from your result.
  2. Enter the accepted, true, or theoretical value you are comparing against.
  3. Add a unit label if it helps your answer read clearly.
  4. Press Calculate percent error to see absolute percent error, signed percent error, and steps.

What people use it for

Check a chemistry or physics lab result against the accepted value from a table, teacher, or reference.

See whether your measured value was too high, too low, or exactly on target.

Show the percent error formula steps before adding the result to homework or a lab report draft.

Compare values only after the units match, such as grams with grams or centimeters with centimeters.

Copy the answer with absolute error and signed percent error for notes.

Quick examples

Density lab check

Measured 2.45 g/cm3 vs accepted 2.70 g/cm3

9.2593% error, signed -9.2593%

Length measurement

Measured 48 cm vs accepted 50 cm

4% error, signed -4%

High volume reading

Measured 105 mL vs accepted 100 mL

5% error, signed +5%

Boiling point check

Measured 99.1 C vs accepted 100 C

0.9% error, signed -0.9%

Need the guide or a nearby tool?

Need a slower walkthrough, a related calculator, or the full library? These links keep you close to the task you started.

Frequently asked questions

Quick answers about formulas, accepted values, signed error, zero values, units, and privacy.

What formula does the Percent Error Calculator use?

It uses absolute percent error: |measured value - accepted value| / |accepted value| x 100. The signed result keeps the plus or minus direction before the absolute value is taken.

What is the accepted value?

The accepted value is the reference value you are comparing against. In a lab, it might come from a textbook, a data table, a teacher-provided number, or a known standard.

What do the main Percent Error Calculator inputs mean?

The main inputs are the numbers, operation, mode, or known values the calculator needs. Keep units consistent, enter percentages the way the page label shows, and use the examples as a quick check before trusting the answer.

How should I read the Percent Error Calculator answer?

Read the headline answer, then check the supporting lines and examples to understand how the calculator got there. If one input changes, rerun the tool and compare the new answer instead of guessing.

What should I double-check before trusting the Percent Error Calculator?

Check units, signs, rounding, and the selected mode before copying the answer. If the number feels weird, rerun one of the examples first, then put your own values back in slowly.

What is the measured value?

The measured value is the number you observed, tested, calculated, or recorded. Put this in the first box, then put the reference value in the accepted-value box.

Can percent error be negative?

Standard percent error is usually positive because it uses absolute error. The signed percent error can be negative or positive. Negative means your measured value was low. Positive means it was high.

Why can the accepted value not be zero?

Percent error divides by the accepted value. If the accepted value is zero, the calculator cannot make a percentage comparison, so it asks for a nonzero accepted value.

Do the units matter?

Yes. Convert the values to the same unit first. Do not compare 48 cm with 0.5 m until they both use centimeters or both use meters. The unit label only helps you read the answer.

Is percent error the same as uncertainty?

No. Percent error compares one result with an accepted value. Uncertainty explains how much trust to put in a measurement. In a serious lab report, include uncertainty if your class or lab asks for it.

Is my percent error history private?

Yes. Recent percent error calculations stay only in the current browser tab while you use the page. They are not sent to a server, and closing or refreshing the tab clears the short history.

Related tools