6/7 as a percent
6/7 as a percent is 85.714285…% (the digits 714285 repeat forever), which is 85.71% rounded to 2 decimal places.
Change either number to try your own. The digits 714285 repeat. Rounded to 2 places: 85.71%. In lowest terms: 6/7.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 6/7 × 100 = 600/7. Then divide 600 by 7.
- 2
7 goes into 600 85 times with 5 left over, so the whole part is 85.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 7, and write the digit. A remainder comes back after 6 steps, so the digits 714285 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{6}{7} = 85.\overline{714285}\% \]
\[ \frac{6}{7} \times 100 = \frac{600}{7} \]Long division of 600 by 7
| Step | Remainder × 10 | Divide by 7 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 7 = 7 | 1 |
| 2 | 10 | 10 ÷ 7 = 1 | 3 |
| 3 | 30 | 30 ÷ 7 = 4 | 2 |
| 4 | 20 | 20 ÷ 7 = 2 | 6 |
| 5 | 60 | 60 ÷ 7 = 8 | 4 |
| 6 | 40 | 40 ÷ 7 = 5 | 5 |
Questions
What is 6/7 as a percent?
6/7 as a percent is 85.714285…% (the digits 714285 repeat forever), which is 85.71% rounded to 2 decimal places.
Is 6/7 a terminating or a repeating decimal?
It repeats. The bottom number 7 = 7 has a prime factor other than 2 and 5, so the division never ends and the block 714285 (6 digits) repeats.
What is 6/7 as a decimal?
6/7 is 0.857142… as a decimal.
How do I round 6/7 to 2 decimal places?
6/7 rounded to 2 decimal places is 85.71%.