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Math & Statistics

Percent Error Calculator

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Math & Statistics

Percent Error Calculator

Live answer2%error -2 · signed percent error -2%
Live result2%error -2 · signed percent error -2%
Formula used

Error = measured value − accepted value. Absolute error = |measured value − accepted value|. Percent error = (absolute error ÷ |accepted value|) × 100. Signed percent error = ((measured value − accepted value) ÷ |accepted value|) × 100.

This is the method behind the answer, so the result can be checked rather than simply trusted.

Live math canvas

Your numbers, formula and explanation together

Percent Error Calculator: 2%. error -2 · signed percent error -2%

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Error = measured value − accepted value. Absolute error = |measured value − accepted value|. Percent error = (absolute error ÷ |accepted value|) × 100. Signed percent error = ((measured value − accepted value) ÷ |accepted value|) × 100.
  1. Apply the formulaError = measured value − accepted value. Absolute error = |measured value − accepted value|. Percent error = (absolute error ÷ |accepted value|) × 100. Signed percent error = ((measured value − accepted value) ÷ |accepted value|) × 100.2%error -2 · signed percent error -2%

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Measured value
98
The observed, experimental or calculated value you want to compare.
Accepted/reference value
100
The standard, expected or reference value used as the comparison base.

Resulting answer

2%

error -2 · signed percent error -2%

Answer
2%
Live support
error -2 · signed percent error -2%

Assumptions used

What this answer assumes

Use absolute percent error for size and signed percent error for direction. Check the source of the reference value.

  • The accepted/reference value is treated as the comparison base.
  • Percent error is undefined when the accepted value is zero because the formula would divide by zero.
  • The main result uses absolute percent error so overestimates and underestimates are comparable.
  • Signed percent error is shown to indicate whether the measured value is above or below the reference value.
  • This is transparent general arithmetic; measurement uncertainty, calibration and laboratory method rules are not certified by this page.

Master’s Tip

How to use the result well

Master’s Tip: write down the source of the accepted value before judging the percent error. In labs, QA checks and estimating work, a small arithmetic error can still be unacceptable if the reference value, instrument tolerance or calibration method is wrong.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Measured value
98
The observed, experimental or calculated value you want to compare.
Accepted/reference value
100
The standard, expected or reference value used as the comparison base.

What-if check

Measured-value sensitivity

Move the measured value by one unit either side while keeping the accepted value fixed. This shows whether the error result is stable or sensitive to a small measurement change.

Measured valueRaw errorPercent error
97.00-3.003.00%
98.00-2.002.00%
99.00-1.001.00%

Visual proof

Measured versus accepted

Accepted valueMeasured valueAbsolute gap: 2.00 · 2.00%

The bars keep the reference value visible so the percentage is not mistaken for a standalone score.

Visual grid

This number is one point on a larger pattern

Percent Error is not just a final answer. It is a step on a line: before and after, input and output, assumption and result.

Micro-timehours, minutes, shiftsHuman scaledays, weeks, projectsMacro-timemonths, years, calendars
InputFormulaResult
2%

CalculationTime keeps the path visible: the input, the method and the final number belong together.

CalculationTime

Percent Error Calculation Report

Report date:

2%error -2 · signed percent error -2%

Inputs

Measured value
98
Accepted/reference value
100

Method

Error = measured value − accepted value. Absolute error = |measured value − accepted value|. Percent error = (absolute error ÷ |accepted value|) × 100. Signed percent error = ((measured value − accepted value) ÷ |accepted value|) × 100.

  1. Measured value = 98 and accepted value = 100. Error = 98 − 100 = −2. Absolute error = 2. Percent error = 2 ÷ 100 × 100 = 2.00%. Signed percent error is −2.00%, showing the measurement is below the reference.

Assumptions

  • The accepted/reference value is treated as the comparison base.
  • Percent error is undefined when the accepted value is zero because the formula would divide by zero.
  • The main result uses absolute percent error so overestimates and underestimates are comparable.
  • Signed percent error is shown to indicate whether the measured value is above or below the reference value.

Notes

Use this space on the printed report for client, supplier, classroom, job-location, measurement, quote or approval notes.

Source: https://www.calculationtime.com/calculators/percent-error-calculator

This report shows the calculation inputs, formula, assumptions and result for review. It is not legal, payroll, tax, engineering, financial or academic advice unless a qualified professional confirms the applicable rules.