The formula this page uses
a/b as a percent = a ÷ b × 100%. If b divides 100 exactly, scale instead: a/b = (a × 100/b) / 100.
Convert fractions to percentages, with steps
Use the free fraction to percent calculator to work through the number relationship, preserve exact values, and check the result with estimation. Choose a focused operation below to calculate, inspect the method, and connect the result to a visual model.
The visual updates with your calculation.
Result—Choose a mode, enter the known values, and calculate.
Show your work Step-by-step method
- The calculation method and verification will appear here.
Arithmetic
Fraction to Percent Calculator explained
The short version
- Divide the top by the bottom, then multiply by 100 and add the % sign.
- If the bottom number goes into 100 evenly, you can scale up instead: 7/8 becomes 87.5/100.
- Bottoms like 3, 6, 7, 9, 11 and 12 give percents that never end, so say how far you rounded.
What each part means
SymbolWhat it means
a — NumeratorThe top number, counting how many pieces you have.
b — DenominatorThe bottom number. If it is 2, 4, 5, 10, 20, 25, 50 or 100 the percent comes out clean.
100/b — The scale factorHow many times b fits into 100. For eighths it is 12.5.
exact form — A percent with a fraction in itLike 41 and 2/3 percent, which avoids rounding altogether.
Show your work: a full example
- Convert 7/8 to a percent7 ÷ 8 × 100
- Do the division7 ÷ 8 = 0.875
- Multiply by 1000.875 × 100 = 87.5
- Add the sign87.5%
- Check by scaling instead8 × 12.5 = 100, so multiply the top by 12.5 too
- Scale the top7 × 12.5 = 87.5, giving 87.5/100 = 87.5%
A second, different case
- A different case: the bottom does not divide 1005/12
- Divide5 ÷ 12 = 0.41666…
- Multiply by 10041.666…%
- Round to one decimal place41.7%
- Or keep it exact500 ÷ 12 = 41 remainder 8, and 8/12 = 2/3
- Write the exact percent41 and 2/3 percent
- Sanity-check the rounding41.7% of 12 = 5.004, which is 5 to three digits
Copy-ready example
7 ÷ 8 × 100
Convert 7/8 to a percent
Questions about the Fraction to Percent Calculator
Which bottom numbers give a clean percent?
The ones that divide 100 exactly: 1, 2, 4, 5, 10, 20, 25, 50 and 100. Eighths sneak in too, because 8 goes into 100 twelve and a half times, which is still a tidy decimal. Everything else either terminates messily or repeats.
What happens with a fraction bigger than 1?
You get a percent above 100, which is correct. 5/4 gives 5 ÷ 4 = 1.25, so 125%. This shows up whenever something has grown past its starting size, like a price that is now five quarters of what it was.
Should I give the exact percent or the rounded one?
Give the exact form when the question is about fractions, because 41 and 2/3 percent is a true statement while 41.7% is not. Give the rounded form when the answer is going into a report or a chart, where two decimal places is plenty.
How do percents help me compare two fractions?
They put both on the same scale. Deciding between 5/8 and 7/11 by eye is hard, but 5/8 = 62.5% and 7/11 = 63.6%, so 7/11 is slightly bigger. Any two fractions can be compared this way in a few seconds.
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ReferenceArithmetic formulasConditions and examples for each formula.