how to figure out percentage

4 days ago 7
Nature

To figure out a percentage, the general formula is:

Percentage=(PartWhole)×100\text{Percentage}=\left(\frac{\text{Part}}{\text{Whole}}\right)\times 100Percentage=(WholePart​)×100

This means you divide the part (the portion or the value of interest) by the whole (the total or overall value) and then multiply the result by 100 to convert it into a percentage.

How to Calculate Percentage in Steps

  1. Identify the "part" value and the "whole" value.
  2. Divide the part by the whole.
  3. Multiply the result by 100.

Example

If you have a circle divided into 10 parts and 2 parts are shaded, the percentage of the shaded parts is:

210×100=20%\frac{2}{10}\times 100=20%102​×100=20%

Additional Notes

  • If the number is in decimal form (like 0.25), just multiply by 100 to get the percentage (0.25 × 100 = 25%).
  • If you have a fraction (like 3/20), convert it to a decimal by dividing numerator by denominator (3 ÷ 20 = 0.15), then multiply by 100 (0.15 × 100 = 15%).

This formula and process apply to a wide range of percentage calculations, such as calculating marks percentage, percentage increase or decrease, and more.