Find the pass (success) rate of an exam from the number who passed and the total who sat it — or the percentage of correct answers on a test.
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Enter the number who passed (or correct answers) and the total. See the pass and fail rate.
Pass rate = passed ÷ total × 100. It also works for correct answers: correct ÷ total questions × 100. If the total is 0, the result shows “—”.
Pass rate 72% · Fail rate 28%Tools for pupils and students. Formulas used in schools and universities for averages and exams. Everything runs instantly in your browser, no account, no data sent.
The pass rate is found by dividing the number who passed by the total and multiplying by 100. The fail rate is what is left up to 100%:
With 18 passed out of 25 candidates: 18 ÷ 25 × 100 = 72% pass, so 28% fail. Likewise, 18 correct answers out of 25 questions = 72%.
Divide the number who passed by the total number who sat the exam and multiply by 100. For example, 18 passed out of 25 = 18 ÷ 25 × 100 = 72%.
It is the same calculation: divide the correct answers by the total questions and multiply by 100. 18 correct out of 25 = 72%.
Subtract the pass rate from 100%. If the pass rate is 72%, the fail rate is 100 − 72 = 28%.
The maths still runs, but the percentage goes above 100% — a sign the inputs are wrong. Check the figures: the number passed cannot exceed the total.
When the total is 0 (or empty) the division is undefined, so no percentage can be shown. Enter a total greater than 0.
The result is rounded to one decimal place, which is enough for pass rates and correct-answer percentages.