What this calculator does
The Percent to Decimal & Fraction Calculator takes any percentage and shows it two ways: as a decimal number and as a fully simplified (reduced) fraction. It works for whole percents like 50% as well as decimal percents like 12.5%. This is a universal math tool — the results are the same everywhere, with no country-specific rules.
How to use it
Type the percentage into the box — just the number, without the % sign — and the calculator instantly returns the decimal equivalent and the lowest-terms fraction. For example, entering 25 returns a decimal of 0.25 and a fraction of 1/4.
The formula explained
"Percent" literally means "per hundred." To convert a percent to a decimal you divide by 100, which is the same as moving the decimal point two places to the left: \(d = p \div 100\). To convert to a fraction, you write the percent over 100 (\(p/100\)) and then reduce it by dividing the top and bottom by their greatest common divisor (GCD). If the percent itself has decimals, both numbers are first scaled up by a power of ten so the fraction has whole numbers before reducing.
$$\text{Decimal} = \frac{\text{Percent (\%)}}{100} \qquad \text{Fraction} = \frac{\text{Percent (\%)}}{100}\ \text{(reduced)}$$
Worked example
Convert 12.5% to a decimal and fraction. Decimal: \(12.5 \div 100 = 0.125\). Fraction: \(12.5/100 \to\) multiply both by 10 \(\to 125/1000\). The GCD of 125 and 1000 is 125, so \(125 \div 125 = 1\) and \(1000 \div 125 = 8\), giving the reduced fraction 1/8.
$$12.5 \div 100 = 0.125 \qquad \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8}$$
FAQ
How do I convert a percent to a decimal? Divide the percent by 100. So \(7\% = 0.07\) and \(150\% = 1.5\).
How do I turn a percent into a fraction? Place the percent over 100 and simplify. \(40\% = 40/100 = 2/5\).
Can I enter percentages over 100 or with decimals? Yes. Values like 250% (\(= 2.5 = 5/2\)) and 33.33% are fully supported.
