Percentage Calculator

Quickly calculate percentages with our Percentage Calculator. Perfect for solving math problems, financial calculations, and everyday tasks.

Calculator Type

Find Percentage of a Number

Calculate what p% of x equals. For example, find what 15% of 200 is.

Enter the percentage value (e.g., 15, 25, 50)
Enter the number you want to find the percentage of
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Find What Percent One Number is of Another

Calculate what percentage x is of y. For example, find what percent 25 is of 100.

Enter the number you want to find the percentage of
Enter the number that represents 100%
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Find the Original Number from a Percentage

Calculate what number x is p% of. For example, if 30 is 15% of what number?

Enter the number that represents the percentage amount
Enter the percentage value (e.g., 15, 25, 50)
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What is Percentage

A percentage represents a fraction of 100, denoted by the symbol %. The term comes from the Latin "per centum," meaning "by the hundred." It simplifies comparisons by standardizing values to a base of 100. For example, 25% means 25 out of 100, or \(\frac{25}{100}\).

How to Calculate Percentage

The core formula for calculating percentages is:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\% \]

Example: If 30 out of 90 students passed an exam, the pass percentage is:

\[ \left( \frac{30}{90} \right) \times 100\% = 33.33\% \]

For percentage change (increase/decrease), use:

\[ \text{Change\%} = \left( \frac{\text{New Value - Original Value}}{\text{Original Value}} \right) \times 100\% \]

Example: A price rise from \$50 to \$65 is a:

\[ \left( \frac{65 - 50}{50} \right) \times 100\% = 30\% \text{ increase} \]

Our Percentage Calculator Tool

While understanding the math is crucial, our percentage calculator tool simplifies complex calculations instantly. Whether you're determining discounts, tax rates, or academic scores, it handles formulas like percentage difference, markup, and compound growth. Use it to verify manual calculations or save time on repetitive tasks – but always remember the underlying principles!