23/60 as a percent

23/60 as a percent is 38.333333…% (the digits 3 repeat forever), which is 38.33% rounded to 2 decimal places.

÷=38.333333…%

Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 38.33%. In lowest terms: 23/60.

\frac{23}{60} = 38.\overline{3}\%

How to work it out

1
Multiply by 100 to get a percent: 23/60 × 100 = 2300/60. Then divide 2300 by 60.
$\frac{23}{60} \times 100 = \frac{2300}{60}$
2
60 goes into 2300 38 times with 20 left over, so the whole part is 38.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 60, and write the digit. A remainder comes back after 1 step, so the digits 3 repeat forever.
4
The result is
$\frac{23}{60} = 38.\overline{3}\%$

LaTeX source of the formulas on this page

\[ \frac{23}{60} = 38.\overline{3}\% \]
\[ \frac{23}{60} \times 100 = \frac{2300}{60} \]

Step	Remainder × 10	Divide by 60	Remainder left
1	200	200 ÷ 60 = 3	20

What is 23/60 as a percent?

23/60 as a percent is 38.333333…% (the digits 3 repeat forever), which is 38.33% rounded to 2 decimal places.

Is 23/60 a terminating or a repeating decimal?

It repeats. The bottom number 60 = 2 × 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.

What is 23/60 as a decimal?

23/60 is 0.383333… as a decimal.

How do I round 23/60 to 2 decimal places?

23/60 rounded to 2 decimal places is 38.33%.