87.5% as a fraction

Fraction7/8lowest terms
Decimal0.875
Percent87.5%

How to get there

  1. Percent means per hundred, so 87.5% is 87.5/100.
  2. Clear the decimal by multiplying top and bottom by 10: 875/1,000.
  3. Divide top and bottom by their greatest common divisor, 125: 7/8.

7 of 8 equal parts filled.

Common questions

What is 87.5% as a fraction?
87.5% as a fraction is 7/8. Percent means per hundred, so start with 87.5/100, clear the decimal to get 875/1,000, then divide top and bottom by 125.
What is 87.5% as a decimal?
87.5% is 0.875 as a decimal. Dividing a percentage by 100 moves the point two places to the left.

The same number, other ways

7/8Everything about the fraction: equivalents, the bar model, the number line.0.875The same value as a decimal, with its own derivation.Percent → fraction chartThe whole lookup table, printable.Percent converterAny percentage, including forms like 12 1/2%.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.