5/99 as a percent
5/99 as a percent is 5.050505…% (the digits 05 repeat forever), which is 5.05% rounded to 2 decimal places.
Change either number to try your own. The digits 05 repeat. Rounded to 2 places: 5.05%. In lowest terms: 5/99.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 5/99 × 100 = 500/99. Then divide 500 by 99.
- 2
99 goes into 500 5 times with 5 left over, so the whole part is 5.
- 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 05 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{99} = 5.\overline{05}\% \]
\[ \frac{5}{99} \times 100 = \frac{500}{99} \]Long division of 500 by 99
| Step | Remainder × 10 | Divide by 99 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 99 = 0 | 50 |
| 2 | 500 | 500 ÷ 99 = 5 | 5 |
Questions
What is 5/99 as a percent?
5/99 as a percent is 5.050505…% (the digits 05 repeat forever), which is 5.05% rounded to 2 decimal places.
Is 5/99 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 05 (2 digits) repeats.
What is 5/99 as a decimal?
5/99 is 0.050505… as a decimal.
How do I round 5/99 to 2 decimal places?
5/99 rounded to 2 decimal places is 5.05%.