How to Find the Percentage of Something
Finding the percentage of a number means determining what portion that number is out of 100. Here's a simple step-by-step guide to calculate the percentage of something:
Step 1: Understand the basic formula
The percentage (%) is calculated using the formula:
Percentage=(PartWhole)×100\text{Percentage}=\left(\frac{\text{Part}}{\text{Whole}}\right)\times 100Percentage=(WholePart)×100
- Part = the portion or amount you want to find the percentage of
- Whole = the total or complete amount
Step 2: Plug in your numbers
For example, if you want to find what percentage 25 is of 200:
Percentage=(25200)×100=0.125×100=12.5%\text{Percentage}=\left(\frac{25}{200}\right)\times 100=0.125\times 100=12.5%Percentage=(20025)×100=0.125×100=12.5%
Step 3: Interpret the result
This means 25 is 12.5% of 200.
Quick tips:
- If you want to find X% of a number , multiply the number by X100\frac{X}{100}100X.
- Example: Find 20% of 50 → 50×20100=1050\times \frac{20}{100}=1050×10020=10
- To convert a decimal to a percentage, multiply by 100.
- To convert a percentage to a decimal, divide by 100.
If you want, I can help with specific examples or practice problems!
