8/11 as a percent

8/11 as a percent is 72.727272…% (the digits 72 repeat forever), which is 72.73% rounded to 2 decimal places.

÷=72.727272…%

Change either number to try your own. The digits 72 repeat. Rounded to 2 places: 72.73%. In lowest terms: 8/11.

\frac{8}{11} = 72.\overline{72}\%

How to work it out

1
Multiply by 100 to get a percent: 8/11 × 100 = 800/11. Then divide 800 by 11.
$\frac{8}{11} \times 100 = \frac{800}{11}$
2
11 goes into 800 72 times with 8 left over, so the whole part is 72.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 11, and write the digit. A remainder comes back after 2 steps, so the digits 72 repeat forever.
4
The result is
$\frac{8}{11} = 72.\overline{72}\%$

LaTeX source of the formulas on this page

\[ \frac{8}{11} = 72.\overline{72}\% \]
\[ \frac{8}{11} \times 100 = \frac{800}{11} \]

Step	Remainder × 10	Divide by 11	Remainder left
1	80	80 ÷ 11 = 7	3
2	30	30 ÷ 11 = 2	8

What is 8/11 as a percent?

8/11 as a percent is 72.727272…% (the digits 72 repeat forever), which is 72.73% rounded to 2 decimal places.

Is 8/11 a terminating or a repeating decimal?

It repeats. The bottom number 11 = 11 has a prime factor other than 2 and 5, so the division never ends and the block 72 (2 digits) repeats.

What is 8/11 as a decimal?

8/11 is 0.727272… as a decimal.

How do I round 8/11 to 2 decimal places?

8/11 rounded to 2 decimal places is 72.73%.