What is 15% of 300?
15% of 300 =
45
Step-by-step workings
Why this works
To find 15% of 300, we first convert the percentage to a decimal. 15% means 15 out of every 100, so we divide 15 by 100 to get 0.15. We then multiply this decimal by 300 to find our answer of 45.
This works because a percentage is simply a fraction of 100. 15% is the same as the fraction 3/20 (three twentieths). Multiplying any number by 0.15 gives you exactly 15 parts out of every 100 of that number.
Result = (15 ÷ 100) × 300
Result = 0.15 × 300 = 45
How to check your answer
To verify that 45 is 15% of 300, divide the answer by 300 and multiply by 100:
(45 ÷ 300) × 100 = 15%
This confirms the answer is correct. Dividing the part by the whole and multiplying by 100 is the standard way to find what percentage one number is of another.
How to calculate 15% of 300 without a calculator
15% = 10% + 5%. Find each part separately then add them.
15% in context
15% is less than half. It means 15 parts out of every 100. As a fraction it is 3/20 (three twentieths). As a decimal it is 0.15.
| Form | Value |
|---|---|
| Percentage | 15% |
| Decimal | 0.15 |
| Fraction | 3/20 |
| 15% of 300 | 45 |
Real world examples
15% off a £300 item
A retailer offers 15% off a product priced at £300. The saving is £45, so the sale price is £255.
Saving 15% of a £300 budget
If you put aside 15% of a £300 monthly budget, you save £45 each month. Over a year that adds up to £540.
15% service charge on a £300 bill
A restaurant adds a 15% service charge to a £300 bill. The charge is £45, bringing the total to £345.
More calculations using 15%
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Related calculators and guides
- Use our percentage of a number calculator to calculate any percentage of any number instantly.
- To find what percentage of your income 300 represents, try the percent of income calculator.
- Want to understand how percentages work? Learn how to calculate percentages for GCSE with worked examples and revision notes.