8/27 as a percent
8/27 as a percent is 29.629629…% (the digits 629 repeat forever), which is 29.63% rounded to 2 decimal places.
Change either number to try your own. The digits 629 repeat. Rounded to 2 places: 29.63%. In lowest terms: 8/27.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 8/27 × 100 = 800/27. Then divide 800 by 27.
- 2
27 goes into 800 29 times with 17 left over, so the whole part is 29.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 27, and write the digit. A remainder comes back after 3 steps, so the digits 629 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{27} = 29.\overline{629}\% \]
\[ \frac{8}{27} \times 100 = \frac{800}{27} \]Long division of 800 by 27
| Step | Remainder × 10 | Divide by 27 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 27 = 6 | 8 |
| 2 | 80 | 80 ÷ 27 = 2 | 26 |
| 3 | 260 | 260 ÷ 27 = 9 | 17 |
Questions
What is 8/27 as a percent?
8/27 as a percent is 29.629629…% (the digits 629 repeat forever), which is 29.63% rounded to 2 decimal places.
Is 8/27 a terminating or a repeating decimal?
It repeats. The bottom number 27 = 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 629 (3 digits) repeats.
What is 8/27 as a decimal?
8/27 is 0.296296… as a decimal.
How do I round 8/27 to 2 decimal places?
8/27 rounded to 2 decimal places is 29.63%.