What is 67 Percent of 24?
67% of 24 = 16.08
Step by step
- Turn the percentage into a decimal: 67 ÷ 100 = 0.67
- Multiply: 0.67 × 24 = 16.08
How the answer is worked out
“Percent” means “per hundred”, so 67% is 67 out of every 100, or 0.67 as a decimal. Taking 67% of 24 means multiplying 24 by 0.67, which gives 16.08.
16.08 is the 67% share of 24. The remaining 33% is 7.92, and the two parts add back up to 24.
Why calculate this?
Taking a percentage of a number is how discounts, tips, tax and interest are worked out.
- Discounts: 67% off an item priced $24 saves $16.08, so you pay $7.92.
- Tips: a 67% tip on a bill of $24 is $16.08, so the total is $40.08.
- Interest: simple interest of 67% a year on $24 earns $16.08 in one year and $80.4 over five years.
- Tax: a sales tax of 67% on a price of $24 adds $16.08, so the price including tax is $40.08.
A quicker way
Use 10% and 1%: 10% of 24 is 2.4 and 1% is 0.24. 67% is 6 × 10% + 7 × 1% = 14.4 + 1.68 = 16.08.
Swap the numbers if that is easier: 67% of 24 is always the same as 24% of 67, because both are 67 × 24 ÷ 100.
Check the answer
Work backwards: 16.08 ÷ 24 × 100 = 67%. Getting 67% back shows the answer is right.
Rounding
Rounded to a whole number the result is 16, to one decimal place 16.1 and to two decimal places 16.08. Round only at the end: rounding halfway through a calculation can change the last digit.
The formula explained
result = percentage ÷ 100 × number. Dividing the percentage by 100 turns it into a decimal multiplier, so 25% becomes 0.25 and 150% becomes 1.5. Multiplying the number by that decimal gives the share.
Another worked example: 14% of 59
- Turn the percentage into a decimal: 14 ÷ 100 = 0.14
- Multiply: 0.14 × 59 = 8.26
Common percentages of 24
10% of 24 is 2.4, 20% is 4.8, a quarter (25%) is 6, half (50%) is 12 and three quarters (75%) is 18. Knowing these makes it easy to estimate any other percentage of 24 in your head.
Adding and taking away 67%
Increasing 24 by 67% gives 40.08 and decreasing it by 67% gives 7.92. These do not cancel out: raising 24 by 67% and then lowering the result by 67% ends at 13.2264, because the second 67% is taken of a bigger number.
Finding the original number
If 16.08 is 67% of something, divide by 0.67 to get it back: 16.08 ÷ 0.67 = 24. This is how you work out a price before tax or a full amount from a share of it.
Other ways to ask this
The same calculation is often asked in other words. All of these have the answer above:
- What is 67 percent of 24?
- 67% of 24
- 67 percent times 24
- Find 67% of 24
- How much is 67 per cent of 24?
Terms used on this page
- Percentage: the rate, the number with the % sign.
- Base: the number you take the percentage of.
- Decimal multiplier: the percentage divided by 100.
- Mark-up and discount: adding or taking away a percentage of a price.
The answer in other forms
| Result | 16.08 |
|---|---|
| Remaining | 7.92 |
| 67% as decimal | 0.67 |
| 24 + 67% | 40.08 |
Related results
| 5% of 24 | 5% of 24 = 1.2 |
| 10% of 24 | 10% of 24 = 2.4 |
| 15% of 24 | 15% of 24 = 3.6 |
| 20% of 24 | 20% of 24 = 4.8 |
| 25% of 24 | 25% of 24 = 6 |
| 50% of 24 | 50% of 24 = 12 |
| 75% of 24 | 75% of 24 = 18 |
The other way round: 24% of 67
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =67%*24 into any cell. Replace the numbers with cell references (for example A1 and B1) to reuse the formula for a whole column.
Common mistakes
Forgetting to divide the percentage by 100 makes the answer 100 times too big. Note that x% of y always equals y% of x.
Practice examples
| 14% of 59 | Show answer14% of 59 = 8.26 |
| 21% of 8 | Show answer21% of 8 = 1.68 |
| 64% of 52 | Show answer64% of 52 = 33.28 |
| 72% of 85 | Show answer72% of 85 = 61.2 |
| 46% of 81 | Show answer46% of 81 = 37.26 |
| 45% of 32 | Show answer45% of 32 = 14.4 |
| 78% of 60 | Show answer78% of 60 = 46.8 |
| 83% of 99 | Show answer83% of 99 = 82.17 |
| 50% of 82 | Show answer50% of 82 = 41 |
| 5% of 52 | Show answer5% of 52 = 2.6 |
How this answer was calculated
The result is worked out from the numbers in this page's address when the page is opened, using exact arithmetic wherever possible and rounding only for display. Nothing is copied from a printed table. If you think an answer is wrong, please tell us through the contact page and we will check it.
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Questions
What is 67 Percent of 24?
67% of 24 is 16.08. Formula, steps and practice examples.
What is 67% off 24?
7.92. Taking 67% off leaves 33% of 24.
What is 24 plus 67%?
40.08. Adding 67% is the same as multiplying by 1.67.
What is 67% of 24 as a fraction?
67/100 × 24 = 1608/100, which simplifies to 402/25.
How do I find 67% of a number on a calculator?
Multiply the number by 0.67. For 24 that is 24 × 0.67 = 16.08. On many calculators you can also type 24 × 67 %.