31/73 as a percent
31/73 as a percent is 42.46575342…% (the digits 46575342 repeat forever), which is 42.47% rounded to 2 decimal places.
Change either number to try your own. The digits 46575342 repeat. Rounded to 2 places: 42.47%. In lowest terms: 31/73.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 31/73 × 100 = 3100/73. Then divide 3100 by 73.
- 2
73 goes into 3100 42 times with 34 left over, so the whole part is 42.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 73, and write the digit. A remainder comes back after 8 steps, so the digits 46575342 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{73} = 42.\overline{46575342}\% \]
\[ \frac{31}{73} \times 100 = \frac{3100}{73} \]Long division of 3100 by 73
| Step | Remainder × 10 | Divide by 73 | Remainder left |
|---|---|---|---|
| 1 | 340 | 340 ÷ 73 = 4 | 48 |
| 2 | 480 | 480 ÷ 73 = 6 | 42 |
| 3 | 420 | 420 ÷ 73 = 5 | 55 |
| 4 | 550 | 550 ÷ 73 = 7 | 39 |
| 5 | 390 | 390 ÷ 73 = 5 | 25 |
| 6 | 250 | 250 ÷ 73 = 3 | 31 |
| 7 | 310 | 310 ÷ 73 = 4 | 18 |
| 8 | 180 | 180 ÷ 73 = 2 | 34 |
Questions
What is 31/73 as a percent?
31/73 as a percent is 42.46575342…% (the digits 46575342 repeat forever), which is 42.47% rounded to 2 decimal places.
Is 31/73 a terminating or a repeating decimal?
It repeats. The bottom number 73 = 73 has a prime factor other than 2 and 5, so the division never ends and the block 46575342 (8 digits) repeats.
What is 31/73 as a decimal?
31/73 is 0.42465753… as a decimal.
How do I round 31/73 to 2 decimal places?
31/73 rounded to 2 decimal places is 42.47%.