11/30 as a percent

11/30 as a percent is 36.666666…% (the digits 6 repeat forever), which is 36.67% rounded to 2 decimal places.

÷=36.666666…%

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 36.67%. In lowest terms: 11/30.

\frac{11}{30} = 36.\overline{6}\%

How to work it out

1
Multiply by 100 to get a percent: 11/30 × 100 = 1100/30. Then divide 1100 by 30.
$\frac{11}{30} \times 100 = \frac{1100}{30}$
2
30 goes into 1100 36 times with 20 left over, so the whole part is 36.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 30, and write the digit. A remainder comes back after 1 step, so the digits 6 repeat forever.
4
The result is
$\frac{11}{30} = 36.\overline{6}\%$

LaTeX source of the formulas on this page

\[ \frac{11}{30} = 36.\overline{6}\% \]
\[ \frac{11}{30} \times 100 = \frac{1100}{30} \]

Step	Remainder × 10	Divide by 30	Remainder left
1	200	200 ÷ 30 = 6	20

What is 11/30 as a percent?

11/30 as a percent is 36.666666…% (the digits 6 repeat forever), which is 36.67% rounded to 2 decimal places.

Is 11/30 a terminating or a repeating decimal?

It repeats. The bottom number 30 = 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.

What is 11/30 as a decimal?

11/30 is 0.366666… as a decimal.

How do I round 11/30 to 2 decimal places?

11/30 rounded to 2 decimal places is 36.67%.