What is a Fraction to Percentage Calculator?
This calculator converts any fraction or "part out of a whole number" into a percentage. Whether you want to know what 2 out of 3 is as a percent, or how a score of 47 out of 60 stacks up, you simply enter the numerator (the part) and the denominator (the whole), and the tool returns both the percentage and the underlying decimal value.
How to Use It
Enter the numerator — the smaller "part" value such as a score, a count, or a quantity. Then enter the denominator — the total or "whole" it is measured against. The result updates to show the percentage. For example, 2 out of 3 becomes 66.67%.
The Formula Explained
The conversion is straightforward: percentage = (numerator ÷ denominator) × 100. The division gives you the decimal proportion (a number between 0 and 1 for proper fractions), and multiplying by 100 expresses that proportion as a percent. If the denominator is zero, the result is undefined, so this calculator guards against dividing by zero.
$$\text{Percentage} = \frac{\text{Numerator}}{\text{Denominator}} \times 100\%$$
Worked Example
Suppose you scored 45 marks out of a possible 50. Numerator = 45, denominator = 50. Dividing gives 45 ÷ 50 = 0.9, and multiplying by 100 gives 90%. So your score is 90 percent.
$$\frac{45}{50} = 0.9 \times 100 = 90\%$$
FAQ
What is 2/3 as a percentage? Two divided by three is 0.6667, which is 66.67% (rounded to two decimals).
Can the numerator be larger than the denominator? Yes. If the part exceeds the whole, you simply get a percentage above 100%, for example 5 out of 4 equals 125%.
Does it work with decimals? Yes — you can enter decimal numerators and denominators, such as 1.5 out of 4, and the calculator handles them correctly.
