how to find percentage of something

how to find percentage of something

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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!

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