Percentage Error Calculator

INPUT SUMMARY

Current calculation basis

Entered values: Measured value: 98 — · Accepted value: 100 —

Converted SI values: measured = 98 SI · accepted = 100 SI

Engineering interpretation: Using the current inputs, calculate the absolute percentage error between a measured value and an accepted reference value. The current result is 2 %.

ENGINEERING PRINCIPLE

Percentage error expresses the magnitude of a measurement deviation relative to an accepted reference.

Calculate the absolute percentage error between a measured value and an accepted reference value.

FORMULA & VARIABLES

% error = |measured − accepted| / accepted × 100

• measured = observed value
• accepted = reference value
• % error = absolute relative deviation (%)

CALCULATION STEPS

How this result is assembled

1. Convert the entered values to the SI basis required by the formula.
2. Apply % error = |measured − accepted| / accepted × 100 to the converted values.
3. Report 2 % in the selected output presentation and review the stated assumptions.

FORMULA VERIFICATION

Units, scope and reference

Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.

Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.

Valid conditions: Positive finite scalar input values in the current calculator model.

Limitations: Measured and accepted values use the same unit basis. The accepted value must be non-zero.

ASSUMPTIONS

Use this result in context

• Measured and accepted values use the same unit basis.
• The accepted value must be non-zero.

Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.

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