2/11 as a percentage

Per cent means out of 100, so a percentage is a fraction with a bottom of 100.

11 does not go exactly into 100, so there is no whole-number way to make the bottom 100. Go through the decimal instead:

1. Divide the top by the bottom: 2 ÷ 11 = 0.18, where the group 18 repeats for ever0.18.
2. Multiply by 100, which moves every digit two places to the left: 18.18%, where the group 18 repeats for ever18.18%.

To write it exactly, divide 200 by 11 and keep the remainder: 200 ÷ 11 = 18 remainder 2. The remainder is 2/11 of a per cent, so 2/11 = 18 2/11%.

Rounded to 1 decimal place, 2/11 is 18.2%. To the nearest whole per cent, it is 18%.

Elevenths repeat a pair of digits, and the pair is the top times 9: 2 × 9 = 18, so 2/11 = 0.181818....

2/11 sits between 0 and 1/4 (0.25). It is closer to 1/4.