Convert any percentage into its simplest equivalent fraction, including percentages with decimal points.
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Converting a percentage to a fraction relies on the definition of percent itself: "percent" literally means "per hundred," so any percentage is first written as that number over 100 (for example, 25% becomes 25/100). If the percentage includes a decimal point, both the numerator and the denominator are first multiplied by a power of 10 large enough to clear the decimal (so 37.5% becomes 375/1000 rather than 37.5/100), since a fraction should not contain a decimal in its numerator or denominator. The resulting fraction is then simplified to its lowest terms by dividing both numbers by their greatest common divisor (GCD) — for 375/1000, the GCD is 125, giving the simplified fraction 3/8. This calculator performs both steps automatically for any percentage, whole or decimal, and also handles percentages above 100% (which convert to fractions greater than 1) the same way as any other value. Showing both the unsimplified and simplified fraction side by side also makes it easier to double-check a hand calculation against the correct final answer.
The word "percent" comes directly from the Latin "per centum," meaning "by the hundred" — and that etymology is also the entire mathematical recipe for converting any percentage into a fraction. Every percentage is, at its core, already a fraction with a denominator of 100; converting it just means writing that relationship explicitly and then simplifying.
For a whole-number percentage like 25%, the conversion is immediate: write it as 25/100, then simplify by dividing both numbers by their greatest common divisor. Since the GCD of 25 and 100 is 25, this simplifies directly to 1/4. The same logic applies to any whole-number percentage — the only step requiring real work is finding the GCD to simplify.
Percentages with a decimal point add one extra step before the fraction can even be written cleanly. A fraction is conventionally expected to have whole numbers in both the numerator and denominator, so 37.5/100 needs adjustment first. Multiplying both the numerator and denominator by 10 (since there's one digit after the decimal point) converts it to 375/1000 — a fraction with the same value but with only whole numbers in both positions. From there, simplification proceeds normally: the GCD of 375 and 1000 is 125, reducing the fraction to 3/8.
This same approach scales to percentages with more decimal places by using a larger power of 10 — a percentage with two decimal places needs multiplication by 100, one with three decimal places needs multiplication by 1000, and so on, always matching the power of 10 to however many digits follow the decimal point.
Percentages above 100% work through exactly the same process and simply produce a fraction greater than one (called an improper fraction) once simplified. 150%, for instance, becomes 150/100, which simplifies to 3/2 — a completely valid fraction that represents a value one and a half times the whole, which comes up naturally in contexts like growth rates, markups, or scaling factors greater than the original amount.
The unsimplified fraction shows the direct result of writing the percentage over 100 (or a higher power of 10 for decimal percentages), while the simplified fraction is the same value reduced to its lowest terms, which is usually the more useful final answer.
The calculator multiplies both the numerator and denominator by a power of 10 large enough to eliminate the decimal point before simplifying, so 12.5% correctly becomes 125/1000, which simplifies to 1/8.
Yes — percentages above 100% convert to fractions greater than 1 (an improper fraction), such as 150% becoming 3/2, which the calculator handles the same way as any other percentage.