1/33 as a percent
1/33 as a percent is 3.030303…% (the digits 03 repeat forever), which is 3.03% rounded to 2 decimal places.
Change either number to try your own. The digits 03 repeat. Rounded to 2 places: 3.03%. In lowest terms: 1/33.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 1/33 × 100 = 100/33. Then divide 100 by 33.
- 2
33 goes into 100 3 times with 1 left over, so the whole part is 3.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 33, and write the digit. A remainder comes back after 2 steps, so the digits 03 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{33} = 3.\overline{03}\% \]
\[ \frac{1}{33} \times 100 = \frac{100}{33} \]Long division of 100 by 33
| Step | Remainder × 10 | Divide by 33 | Remainder left |
|---|---|---|---|
| 1 | 10 | 10 ÷ 33 = 0 | 10 |
| 2 | 100 | 100 ÷ 33 = 3 | 1 |
Questions
What is 1/33 as a percent?
1/33 as a percent is 3.030303…% (the digits 03 repeat forever), which is 3.03% rounded to 2 decimal places.
Is 1/33 a terminating or a repeating decimal?
It repeats. The bottom number 33 = 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 03 (2 digits) repeats.
What is 1/33 as a decimal?
1/33 is 0.030303… as a decimal.
How do I round 1/33 to 2 decimal places?
1/33 rounded to 2 decimal places is 3.03%.