8/75 as a percent

8/75 as a percent is 10.666666…% (the digits 6 repeat forever), which is 10.67% rounded to 2 decimal places.

÷=10.666666…%

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 10.67%. In lowest terms: 8/75.

\frac{8}{75} = 10.\overline{6}\%

How to work it out

1
Multiply by 100 to get a percent: 8/75 × 100 = 800/75. Then divide 800 by 75.
$\frac{8}{75} \times 100 = \frac{800}{75}$
2
75 goes into 800 10 times with 50 left over, so the whole part is 10.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 75, and write the digit. A remainder comes back after 1 step, so the digits 6 repeat forever.
4
The result is
$\frac{8}{75} = 10.\overline{6}\%$

LaTeX source of the formulas on this page

\[ \frac{8}{75} = 10.\overline{6}\% \]
\[ \frac{8}{75} \times 100 = \frac{800}{75} \]

Step	Remainder × 10	Divide by 75	Remainder left
1	500	500 ÷ 75 = 6	50

What is 8/75 as a percent?

8/75 as a percent is 10.666666…% (the digits 6 repeat forever), which is 10.67% rounded to 2 decimal places.

Is 8/75 a terminating or a repeating decimal?

It repeats. The bottom number 75 = 3 × 5 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.

What is 8/75 as a decimal?

8/75 is 0.106666… as a decimal.

How do I round 8/75 to 2 decimal places?

8/75 rounded to 2 decimal places is 10.67%.