31/67 as a percent
31/67 as a percent is 46.268656716417910447761194029850746…% (the digits 268656716417910447761194029850746 repeat forever), which is 46.27% rounded to 2 decimal places.
Change either number to try your own. The digits 268656716417910447761194029850746 repeat. Rounded to 2 places: 46.27%. In lowest terms: 31/67.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 31/67 × 100 = 3100/67. Then divide 3100 by 67.
- 2
67 goes into 3100 46 times with 18 left over, so the whole part is 46.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 67, and write the digit. A remainder comes back after 33 steps, so the digits 268656716417910447761194029850746 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{67} = 46.\overline{268656716417910447761194029850746}\% \]
\[ \frac{31}{67} \times 100 = \frac{3100}{67} \]Long division of 3100 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 180 | 180 ÷ 67 = 2 | 46 |
| 2 | 460 | 460 ÷ 67 = 6 | 58 |
| 3 | 580 | 580 ÷ 67 = 8 | 44 |
| 4 | 440 | 440 ÷ 67 = 6 | 38 |
| 5 | 380 | 380 ÷ 67 = 5 | 45 |
| 6 | 450 | 450 ÷ 67 = 6 | 48 |
| 7 | 480 | 480 ÷ 67 = 7 | 11 |
| 8 | 110 | 110 ÷ 67 = 1 | 43 |
| 9 | 430 | 430 ÷ 67 = 6 | 28 |
| 10 | 280 | 280 ÷ 67 = 4 | 12 |
| 11 | 120 | 120 ÷ 67 = 1 | 53 |
| 12 | 530 | 530 ÷ 67 = 7 | 61 |
Questions
What is 31/67 as a percent?
31/67 as a percent is 46.268656716417910447761194029850746…% (the digits 268656716417910447761194029850746 repeat forever), which is 46.27% rounded to 2 decimal places.
Is 31/67 a terminating or a repeating decimal?
It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 268656716417910447761194029850746 (33 digits) repeats.
What is 31/67 as a decimal?
31/67 is 0.462686567164179104477611940298507… as a decimal.
How do I round 31/67 to 2 decimal places?
31/67 rounded to 2 decimal places is 46.27%.