82/99 as a percent

82/99 as a percent is 82.828282…% (the digits 82 repeat forever), which is 82.83% rounded to 2 decimal places.

÷=82.828282…%

Change either number to try your own. The digits 82 repeat. Rounded to 2 places: 82.83%. In lowest terms: 82/99.

\frac{82}{99} = 82.\overline{82}\%

How to work it out

1
Multiply by 100 to get a percent: 82/99 × 100 = 8200/99. Then divide 8200 by 99.
$\frac{82}{99} \times 100 = \frac{8200}{99}$
2
99 goes into 8200 82 times with 82 left over, so the whole part is 82.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 99, and write the digit. A remainder comes back after 2 steps, so the digits 82 repeat forever.
4
The result is
$\frac{82}{99} = 82.\overline{82}\%$

LaTeX source of the formulas on this page

\[ \frac{82}{99} = 82.\overline{82}\% \]
\[ \frac{82}{99} \times 100 = \frac{8200}{99} \]

Step	Remainder × 10	Divide by 99	Remainder left
1	820	820 ÷ 99 = 8	28
2	280	280 ÷ 99 = 2	82

What is 82/99 as a percent?

82/99 as a percent is 82.828282…% (the digits 82 repeat forever), which is 82.83% rounded to 2 decimal places.

Is 82/99 a terminating or a repeating decimal?

It repeats. The bottom number 99 = 3 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 82 (2 digits) repeats.

What is 82/99 as a decimal?

82/99 is 0.828282… as a decimal.

How do I round 82/99 to 2 decimal places?

82/99 rounded to 2 decimal places is 82.83%.