Worked out below step by step, with a table of related values and a live calculator so you can change the numbers.
Answer
6.75
15% × 45
%
=
Answer
Step-by-step working
1. Write the percentage as a decimal: 15 ÷ 100 = 0.15.
2. Multiply that decimal by the value: 0.15 × 45.
3. The answer is 6.75.
Check it: 6.75 ÷ 45 × 100 = 15%, the percentage you started with.
Formula
answer = (percent ÷ 100) × value
A percentage is just a fraction of 100, so 'percent of' always means divide by 100, then multiply.
What does 15% of 45 mean?
15% means 15 parts out of every 100, or 0.15 in decimal form. The word “of” means multiply, so this question converts the percentage to a decimal and multiplies it by 45.
The result, 6.75, is the 15% share of 45. This same method is used for tax, interest, commission, marks, proportions and many everyday percentage calculations.
Reasonableness and accuracy checks
Estimate the size first: 15% is compared with 100%, so the answer should be reasonable relative to 45.
Reverse the calculation by dividing 6.75 by 45 and multiplying by 100; this should return 15%.
Keep the original unit. If the starting number is money, distance or mass, the answer uses that same unit.
Another way to find 15% of 45
A useful alternate method is to find 1% first and then scale it by 15. This exposes the place-value step clearly and is easy to check with mental arithmetic.
1.1% of 45 = 45 ÷ 100 = 0.45.
2.Multiply 0.45 by 15.
3.0.45 × 15 = 6.75.
A second worked example
What is 15% of 90?
15% × 90 = 13.5
Write the percentage as a decimal: 15 ÷ 100 = 0.15. Multiply that decimal by the value: 0.15 × 90. The answer is 13.5. This uses the same method with different numbers, so it shows how the rule transfers instead of only repeating the original answer.
Number insight for 15% of 45
15% corresponds to the multiplier 0.15. Applying that multiplier to 45 gives 6.75. Because 15% is below 100%, the result should normally be smaller than 45 when 45 is positive.
Where this percentage method is useful
The same part-of-a-whole calculation is used for tax, tips, commissions, interest estimates, marks, population shares and material allowances. The important step is identifying the base quantity before applying the percentage multiplier.
Common mistakes to avoid
Using 15 as the multiplier instead of converting 15% to 0.15.
Dividing 45 by the percentage when the word “of” calls for multiplication after the percentage conversion.
Rounding the decimal percentage or an intermediate result too early, which can alter the final displayed answer.
Questions about this calculation
Is there another way to check What is 15% of 45?
A useful alternate method is to find 1% first and then scale it by 15. This exposes the place-value step clearly and is easy to check with mental arithmetic. 1% of 45 = 45 ÷ 100 = 0.45. Multiply 0.45 by 15. 0.45 × 15 = 6.75.
What is the most common mistake with What is 15% of 45?
Using 15 as the multiplier instead of converting 15% to 0.15. After correcting that setup, verify the result independently: Check it: 6.75 ÷ 45 × 100 = 15%, the percentage you started with.
Can I use the same method with different numbers?
Yes. What is 15% of 90? Write the percentage as a decimal: 15 ÷ 100 = 0.15. Multiply that decimal by the value: 0.15 × 90. The answer is 13.5. This uses the same method with different numbers, so it shows how the rule transfers instead of only repeating the original answer. The live calculator above lets you replace both inputs and recalculate without changing the underlying method.
How can I tell whether 6.75 is reasonable here?
15% corresponds to the multiplier 0.15. Applying that multiplier to 45 gives 6.75. Because 15% is below 100%, the result should normally be smaller than 45 when 45 is positive. Use that scale or ratio check together with the reverse calculation before reusing the result in another calculation.