20/99 as a percent
20/99 as a percent is 20.202020…% (the digits 20 repeat forever), which is 20.20% rounded to 2 decimal places.
Change either number to try your own. The digits 20 repeat. Rounded to 2 places: 20.20%. In lowest terms: 20/99.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 20/99 × 100 = 2000/99. Then divide 2000 by 99.
- 2
99 goes into 2000 20 times with 20 left over, so the whole part is 20.
- 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 20 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{20}{99} = 20.\overline{20}\% \]
\[ \frac{20}{99} \times 100 = \frac{2000}{99} \]Long division of 2000 by 99
| Step | Remainder × 10 | Divide by 99 | Remainder left |
|---|---|---|---|
| 1 | 200 | 200 ÷ 99 = 2 | 2 |
| 2 | 20 | 20 ÷ 99 = 0 | 20 |
Questions
What is 20/99 as a percent?
20/99 as a percent is 20.202020…% (the digits 20 repeat forever), which is 20.20% rounded to 2 decimal places.
Is 20/99 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 20 (2 digits) repeats.
What is 20/99 as a decimal?
20/99 is 0.202020… as a decimal.
How do I round 20/99 to 2 decimal places?
20/99 rounded to 2 decimal places is 20.20%.