5/21 as a percent
5/21 as a percent is 23.809523…% (the digits 809523 repeat forever), which is 23.81% rounded to 2 decimal places.
Change either number to try your own. The digits 809523 repeat. Rounded to 2 places: 23.81%. In lowest terms: 5/21.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 5/21 × 100 = 500/21. Then divide 500 by 21.
- 2
21 goes into 500 23 times with 17 left over, so the whole part is 23.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 21, 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
\[ \frac{5}{21} = 23.\overline{809523}\% \]
\[ \frac{5}{21} \times 100 = \frac{500}{21} \]Long division of 500 by 21
| Step | Remainder × 10 | Divide by 21 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 21 = 8 | 2 |
| 2 | 20 | 20 ÷ 21 = 0 | 20 |
| 3 | 200 | 200 ÷ 21 = 9 | 11 |
| 4 | 110 | 110 ÷ 21 = 5 | 5 |
| 5 | 50 | 50 ÷ 21 = 2 | 8 |
| 6 | 80 | 80 ÷ 21 = 3 | 17 |
Questions
What is 5/21 as a percent?
5/21 as a percent is 23.809523…% (the digits 809523 repeat forever), which is 23.81% rounded to 2 decimal places.
Is 5/21 a terminating or a repeating decimal?
It repeats. The bottom number 21 = 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 5/21 as a decimal?
5/21 is 0.238095… as a decimal.
How do I round 5/21 to 2 decimal places?
5/21 rounded to 2 decimal places is 23.81%.