37/55 as a percent

37/55 as a percent is 67.272727…% (the digits 27 repeat forever), which is 67.27% rounded to 2 decimal places.

÷=67.272727…%

Change either number to try your own. The digits 27 repeat. Rounded to 2 places: 67.27%. In lowest terms: 37/55.

\frac{37}{55} = 67.\overline{27}\%

How to work it out

1
Multiply by 100 to get a percent: 37/55 × 100 = 3700/55. Then divide 3700 by 55.
$\frac{37}{55} \times 100 = \frac{3700}{55}$
2
55 goes into 3700 67 times with 15 left over, so the whole part is 67.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 55, and write the digit. A remainder comes back after 2 steps, so the digits 27 repeat forever.
4
The result is
$\frac{37}{55} = 67.\overline{27}\%$

LaTeX source of the formulas on this page

\[ \frac{37}{55} = 67.\overline{27}\% \]
\[ \frac{37}{55} \times 100 = \frac{3700}{55} \]

Step	Remainder × 10	Divide by 55	Remainder left
1	150	150 ÷ 55 = 2	40
2	400	400 ÷ 55 = 7	15

What is 37/55 as a percent?

37/55 as a percent is 67.272727…% (the digits 27 repeat forever), which is 67.27% rounded to 2 decimal places.

Is 37/55 a terminating or a repeating decimal?

It repeats. The bottom number 55 = 5 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 27 (2 digits) repeats.

What is 37/55 as a decimal?

37/55 is 0.672727… as a decimal.

How do I round 37/55 to 2 decimal places?

37/55 rounded to 2 decimal places is 67.27%.