Worked example 1
Find 20% of 150.
Start by writing the calculation clearly: 20% = 0.20. Now multiply: 0.20 × 150 = 30.
Answer: 30
Grade 6 Math · Topic 38
Finding the Percent of a Number
To find a percent of a number, change the percent to a decimal or fraction, then multiply. The phrase “of” in percent problems almost always means multiply.
Lesson alignment: 6.RP.A.3.c · Take your time. You can return to this lesson whenever you need it.
Explore visually
Find a percent of an amount
Keep the same percent and amount as you switch between a hundred grid, a tape bar, and a ratio table. Trace how the shaded percent corresponds to the amount.
Think first: Estimate the part first. Then predict how the same relationship will look in a hundred grid, a bar, and a ratio table.
Ready? Reveal the model and try your prediction
Swipe horizontally to see the full diagram.
Turn on JavaScript to adjust this model. The examples and practice below work without it.
Follow the worked examples
Read each step, then cover the explanation and see if you can explain why it works.
Worked example 2
Find 15% of 80.
Start by writing the calculation clearly: 15% = 0.15. 0.15 × 80 = 12. (Mental: 10% is 8; 5% is 4; 8 + 4 = 12.)
Answer: 12
Try a few on your own
Work these on paper first. Open “Check” when you are ready to compare your answer.
- 10% of 80 =
Check
8
- 25% of 60 =
Check
15
- 50% of 240 =
Check
120
- 5% of 120 =
Check
6
- 30% of 90 =
Check
27
- 75% of 200 =
Check
150
- 40% of 150 =
Check
60
- 12% of 50 =
Check
6
Try this situation 1
A jacket that costs $80 is 25% off. How much is the discount?
Show a worked solution
Answer: $20.
Start by writing the calculation clearly: 25% of 80 = 0.25 × 80 = 20.
Try this situation 2
A class has 30 students; 40% are girls. How many girls?
Show a worked solution
Answer: 12 girls.
Start by writing the calculation clearly: 0.40 × 30 = 12.
Fresh questions · saved on this device
Practice this skill
Try a fresh set each time. Answer one question, check your thinking, and read the explanation. If you miss one, return to the visual model and try another round.
Question 1 of 50 correct so far
Session complete
Check what you learned
Answer these five questions on your own. You can review the explanations after you submit and try again whenever you like. This short check is for practice, not a grade.
Practice and finish
Try the linked topic quiz for more practice. If something is tricky, return to the example and look for the step that changes the numbers or representation.
Your checkmark, skill-practice sessions, and best exit-check score are saved on this browser and device. The course page can download a progress report to share with a tutor or teacher.
More Grade 6 resources
Use these free materials if you want another explanation, extra paper practice, or a broader review.