To find out a percentage, you use the formula:

Percentage=(ValueTotal Value)×100\text{Percentage}=\left(\frac{\text{Value}}{\text{Total Value}}\right)\times 100Percentage=(Total ValueValue​)×100

Here, "Value" is the part or portion you want to find the percentage of, and "Total Value" is the whole or total amount. You divide the value by the total value and multiply the result by 100 to convert it into a percentage

Example:

If you have 10 girls in a class of 40 children, the percentage of girls is:

1040×100=25%\frac{10}{40}\times 100=25%4010​×100=25%

Steps to calculate percentage:

• Divide the part by the whole.
• Multiply the result by 100.
• The result is the percentage.

This method works for any scenario where you want to express a part as a percentage of a whole

Additional notes:

• You can also convert fractions to percentages by making the denominator 100 or multiplying the fraction by 100

• To find the percentage of a number (e.g., 20% of 50), convert the percentage to decimal (20% = 0.20) and multiply by the number: 0.20×50=100.20\times 50=100.20×50=10

• For percentage increase or decrease, use the formulas:
  • Percentage increase = New−OriginalOriginal×100\frac{\text{New}-\text{Original}}{\text{Original}}\times 100OriginalNew−Original​×100
  • Percentage decrease = Original−NewOriginal×100\frac{\text{Original}-\text{New}}{\text{Original}}\times 100OriginalOriginal−New​×100

This covers the basic and common ways to find and work with percentages.