Percentages Worksheets

Find the part, the percent or the whole in percentage problems. Every answer is a whole number. Grades 4–6.

Ctrl+P to print worksheet Ctrl+R to randomize

What is a percentage?

"Percent" means "per hundred": 25% is 25100\tfrac{25}{100}, or 0.25. Every percentage problem links three numbers, the part, the percent and the whole:

part=percent×whole\text{part} = \text{percent} \times \text{whole}

Each worksheet asks for one of the three:

  • Find the part — "What is 25% of 80?"
  • Find the percent — "12 is what % of 48?"
  • Find the whole — "18 is 30% of what number?"

The percents are common ones (10%, 15%, 20%, 25%, 30%, 40%, 50%, 60%, 75% and 80%), and the numbers are chosen so that every answer is a whole number.

Worked examples

Find the part: What is 25% of 80?

0.25×80=200.25 \times 80 = 20

Find the percent: 12 is what % of 48?

1248=14=0.25=25%\frac{12}{48} = \frac{1}{4} = 0.25 = 25\%

Find the whole: 18 is 30% of what number?

30% of the whole is 18, so divide: 18÷0.30=6018 \div 0.30 = 60. Check: 30% of 60 is 0.3×60=180.3 \times 60 = 18.

Check your answers

Put the answer back into the sentence. "12 is 25% of 48": 0.25×48=120.25 \times 48 = 12, so the answer fits.

Common mistakes

  • Forgetting to convert the percent. 25% of 80 is 0.25×80=200.25 \times 80 = 20, not 25×80=200025 \times 80 = 2000.
  • Dividing the wrong way when finding the percent. The part goes on top: 1248=25%\tfrac{12}{48} = 25\%, while 4812\tfrac{48}{12} would give 400%.
  • Multiplying when finding the whole. "18 is 30% of what number?" is not 0.3×18=5.40.3 \times 18 = 5.4. The whole must be larger than the part here, so divide.
  • Leaving off the % sign. In "find the percent" questions the answer is 25%, not 25 or 0.25.

Sample problems

These problems come from the same generator as the worksheet above. Press Generate for a fresh set.

Find the part

  1. What is 75% of 80?
  2. What is 80% of 60?

Find the percent

  1. 8 is what % of 20?
  2. 64 is what % of 80?

Find the whole

  1. 20 is 20% of what number?
  2. 40 is 20% of what number?
Show answers
  1. 60
  2. 48
  3. 40%
  4. 80%
  5. 100
  6. 200

Tips for teachers and parents

  • Teach the benchmarks first: 50% is half, 25% is a quarter, 10% is one tenth. Many problems can then be done mentally, such as 15% = 10% + 5%.
  • A double number line (0 to 100% above, 0 to the whole below) works for all three question types.
  • Everyday contexts such as discounts and test scores make the three question types easy to tell apart.

Related topics