What is 77 Percent of 42?
77% of 42 = 32.34
Step by step
- Turn the percentage into a decimal: 77 ÷ 100 = 0.77
- Multiply: 0.77 × 42 = 32.34
How the answer is worked out
“Percent” means “per hundred”, so 77% is 77 out of every 100, or 0.77 as a decimal. Taking 77% of 42 means multiplying 42 by 0.77, which gives 32.34.
32.34 is the 77% share of 42. The remaining 23% is 9.66, and the two parts add back up to 42.
Why calculate this?
Taking a percentage of a number is how discounts, tips, tax and interest are worked out.
- Discounts: 77% off an item priced $42 saves $32.34, so you pay $9.66.
- Tips: a 77% tip on a bill of $42 is $32.34, so the total is $74.34.
- Interest: simple interest of 77% a year on $42 earns $32.34 in one year and $161.7 over five years.
- Tax: a sales tax of 77% on a price of $42 adds $32.34, so the price including tax is $74.34.
A quicker way
Use 10% and 1%: 10% of 42 is 4.2 and 1% is 0.42. 77% is 7 × 10% + 7 × 1% = 29.4 + 2.94 = 32.34.
Swap the numbers if that is easier: 77% of 42 is always the same as 42% of 77, because both are 77 × 42 ÷ 100.
Check the answer
Work backwards: 32.34 ÷ 42 × 100 = 77%. Getting 77% back shows the answer is right.
Rounding
Rounded to a whole number the result is 32, to one decimal place 32.3 and to two decimal places 32.34. 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: 15% of 75
- Turn the percentage into a decimal: 15 ÷ 100 = 0.15
- Multiply: 0.15 × 75 = 11.25
Common percentages of 42
10% of 42 is 4.2, 20% is 8.4, a quarter (25%) is 10.5, half (50%) is 21 and three quarters (75%) is 31.5. Knowing these makes it easy to estimate any other percentage of 42 in your head.
Adding and taking away 77%
Increasing 42 by 77% gives 74.34 and decreasing it by 77% gives 9.66. These do not cancel out: raising 42 by 77% and then lowering the result by 77% ends at 17.0982, because the second 77% is taken of a bigger number.
Finding the original number
If 32.34 is 77% of something, divide by 0.77 to get it back: 32.34 ÷ 0.77 = 42. 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 77 percent of 42?
- 77% of 42
- 77 percent times 42
- Find 77% of 42
- How much is 77 per cent of 42?
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 | 32.34 |
|---|---|
| Remaining | 9.66 |
| 77% as decimal | 0.77 |
| 42 + 77% | 74.34 |
Related results
| 5% of 42 | 5% of 42 = 2.1 |
| 10% of 42 | 10% of 42 = 4.2 |
| 15% of 42 | 15% of 42 = 6.3 |
| 20% of 42 | 20% of 42 = 8.4 |
| 25% of 42 | 25% of 42 = 10.5 |
| 50% of 42 | 50% of 42 = 21 |
| 75% of 42 | 75% of 42 = 31.5 |
The other way round: 42% of 77
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =77%*42 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
| 15% of 75 | Show answer15% of 75 = 11.25 |
| 45% of 81 | Show answer45% of 81 = 36.45 |
| 66% of 32 | Show answer66% of 32 = 21.12 |
| 61% of 72 | Show answer61% of 72 = 43.92 |
| 15% of 15 | Show answer15% of 15 = 2.25 |
| 64% of 2 | Show answer64% of 2 = 1.28 |
| 93% of 12 | Show answer93% of 12 = 11.16 |
| 19% of 83 | Show answer19% of 83 = 15.77 |
| 94% of 38 | Show answer94% of 38 = 35.72 |
| 63% of 18 | Show answer63% of 18 = 11.34 |
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 77 Percent of 42?
77% of 42 is 32.34. Formula, steps and practice examples.
What is 77% off 42?
9.66. Taking 77% off leaves 23% of 42.
What is 42 plus 77%?
74.34. Adding 77% is the same as multiplying by 1.77.
What is 77% of 42 as a fraction?
77/100 × 42 = 3234/100, which simplifies to 1617/50.
How do I find 77% of a number on a calculator?
Multiply the number by 0.77. For 42 that is 42 × 0.77 = 32.34. On many calculators you can also type 42 × 77 %.