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How to Find Percentage

Learn how to find percentage using part divided by whole times 100, with examples, percent change basics, common mistakes, troubleshooting, and FAQs.

EducationEdited by Pramod Tiwari
2 min read

Quick Answer

To find a percentage, divide the part by the whole, then multiply by 100. For example, if 18 out of 60 questions are correct, 18 divided by 60 equals 0.3, and 0.3 times 100 equals 30%.

What You Need

  • Part value
  • Whole value
  • Calculator or paper
  • Clear labels for units

Safety Precautions

  • Make sure the whole is not zero.
  • Use the correct part and whole.
  • Do not confuse percentage points with percent change.
  • Keep units consistent.
  • Round only at the end unless instructed.

Step-by-Step Instructions

  1. Step 1

    Identify the part

    Choose the amount you want to express as a percentage.

  2. Step 2

    Identify the whole

    Choose the total amount the part comes from.

  3. Step 3

    Divide part by whole

    Calculate part divided by whole.

  4. Step 4

    Multiply by 100

    Convert the decimal to a percentage.

  5. Step 5

    Add the percent sign

    Write the result with the percent symbol.

  6. Step 6

    Check reasonableness

    A part smaller than the whole should usually be under 100%.

  7. Step 7

    Round carefully

    Round to the number of decimal places your problem requires.

Practical Example

Example: To find what percentage 25 is of 80, calculate 25 divided by 80 = 0.3125, then multiply by 100 to get 31.25%.

Common Mistakes

  • Reversing part and whole
  • Forgetting to multiply by 100
  • Dividing by zero
  • Rounding too early
  • Mixing units
  • Confusing 5% with 0.5

Troubleshooting

Answer is over 100%

Check whether the part is larger than the whole or whether you reversed the values.

Decimal looks wrong

Remember that 0.25 equals 25%, not 0.25%.

Word problem is confusing

Underline the total and the part before calculating.

Need percent change

Use change divided by original value times 100, not part divided by whole.

FAQs

What is the percentage formula?

Percentage = part divided by whole times 100.

How do I find 20% of a number?

Convert 20% to 0.20 and multiply by the number.

What is percent change?

Percent change compares the change to the original value, then multiplies by 100.

Can a percentage be more than 100?

Yes, if the part is larger than the whole or if you are measuring increase.

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