31/42 as a percent
31/42 as a percent is 73.809523…% (the digits 809523 repeat forever), which is 73.81% rounded to 2 decimal places.
Change either number to try your own. The digits 809523 repeat. Rounded to 2 places: 73.81%. In lowest terms: 31/42.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 31/42 × 100 = 3100/42. Then divide 3100 by 42.
- 2
42 goes into 3100 73 times with 34 left over, so the whole part is 73.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 42, and write the digit. A remainder comes back after 6 steps, so the digits 809523 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{42} = 73.\overline{809523}\% \]
\[ \frac{31}{42} \times 100 = \frac{3100}{42} \]Long division of 3100 by 42
| Step | Remainder × 10 | Divide by 42 | Remainder left |
|---|---|---|---|
| 1 | 340 | 340 ÷ 42 = 8 | 4 |
| 2 | 40 | 40 ÷ 42 = 0 | 40 |
| 3 | 400 | 400 ÷ 42 = 9 | 22 |
| 4 | 220 | 220 ÷ 42 = 5 | 10 |
| 5 | 100 | 100 ÷ 42 = 2 | 16 |
| 6 | 160 | 160 ÷ 42 = 3 | 34 |
Questions
What is 31/42 as a percent?
31/42 as a percent is 73.809523…% (the digits 809523 repeat forever), which is 73.81% rounded to 2 decimal places.
Is 31/42 a terminating or a repeating decimal?
It repeats. The bottom number 42 = 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 809523 (6 digits) repeats.
What is 31/42 as a decimal?
31/42 is 0.7380952… as a decimal.
How do I round 31/42 to 2 decimal places?
31/42 rounded to 2 decimal places is 73.81%.