This percentage converter translates between the three dialects of proportion — percent, decimal and fraction — in one entry, showing every form at once so the relationships stick.
Three Names for One Number
Percent is a fraction with denominator 100 wearing a symbol: 37.5% = 37.5/100 = 0.375 = 3/8. Moving between forms: percent → decimal, shift the point two places left (÷100); decimal → fraction, find the exact ratio (our Decimal to Fraction Calculator goes deeper). Fluency here is not pedantry — APRs, probabilities, discounts and statistics each default to a different dialect, and errors breed in translation. Part of our Math Calculators collection.
Worked Examples (Verified)
- 37.5% (defaults) = 0.375 = 3/8 — three eighths: the battery icon's quiet fraction
- 0.2 = 20% = 1/5 · 0.125 = 12.5% = 1/8 · 0.666… = 66.7% ≈ 2/3
- 150% = 1.5 = 3/2 — percentages above 100 are just numbers above 1; "grew by 150%" means it became 2.5× (a distinction marketing copy blurs at its peril — see Percent Change)
- 1/3 = 0.333… = 33.33%: the repeating case where the fraction is the only exact citizen
The Benchmark Table Worth Memorizing
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.3% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/4 | 0.75 | 75% |
| 7/8 | 0.875 | 87.5% |
Related Tools
- Decimal to Fraction Calculator — the dedicated deep version
- Percent Change Calculator — increases and decreases, un-blurred
- Math Calculators — the full collection
Frequently Asked Questions
How do you convert a percent to a decimal?
Divide by 100 — move the decimal point two places left. 37.5% → 0.375. Reverse direction (decimal to percent) multiplies by 100 and adds the % sign: 0.375 → 37.5%.
How do you convert a decimal to a fraction?
Find integers n/d equal to the decimal: 0.375 = 375/1000, reduced by the GCD (125) to 3/8. Terminating decimals always reduce exactly; repeating decimals like 0.333… correspond to clean fractions too (1/3), best found by the algebra x = 0.333…, 10x − x = 3 — or the closest-fraction search this calculator runs.
What is 3/8 as a percent?
37.5% — divide 3 ÷ 8 = 0.375, then × 100. The eighths family is worth memorizing: 1/8 = 12.5%, 3/8 = 37.5%, 5/8 = 62.5%, 7/8 = 87.5%.
Can a percentage be over 100?
Yes — it simply means more than the whole reference amount: 150% = 1.5×. Growth contexts add a trap: "up 150%" lands at 250% of the original. The conversion itself is innocent; the English around it is where errors live.
Why do probabilities use decimals but news uses percents?
Convention by field: probability theory writes 0.375 (it multiplies cleanly), journalism writes 37.5% (it reads intuitively). Same number, two uniforms — converting fluently between them is the actual skill this page trains.
Is this percentage converter free?
Yes — free, instant, no sign-up.