1/3 as a percent
1/3 as a percent is 33.333333…% (the digits 3 repeat forever), which is 33.33% rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 33.33%. In lowest terms: 1/3.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 1/3 × 100 = 100/3. Then divide 100 by 3.
- 2
3 goes into 100 33 times with 1 left over, so the whole part is 33.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 3, and write the digit. A remainder comes back after 1 step, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{3} = 33.\overline{3}\% \]
\[ \frac{1}{3} \times 100 = \frac{100}{3} \]Long division of 100 by 3
| Step | Remainder × 10 | Divide by 3 | Remainder left |
|---|---|---|---|
| 1 | 10 | 10 ÷ 3 = 3 | 1 |
Questions
What is 1/3 as a percent?
1/3 as a percent is 33.333333…% (the digits 3 repeat forever), which is 33.33% rounded to 2 decimal places.
Is 1/3 a terminating or a repeating decimal?
It repeats. The bottom number 3 = 3 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.
What is 1/3 as a decimal?
1/3 is 0.333333… as a decimal.
How do I round 1/3 to 2 decimal places?
1/3 rounded to 2 decimal places is 33.33%.