2/3 as a percent
2/3 as a percent is 66.666666…% (the digits 6 repeat forever), which is 66.67% rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 66.67%. In lowest terms: 2/3.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 2/3 × 100 = 200/3. Then divide 200 by 3.
- 2
3 goes into 200 66 times with 2 left over, so the whole part is 66.
- 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 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{2}{3} = 66.\overline{6}\% \]
\[ \frac{2}{3} \times 100 = \frac{200}{3} \]Long division of 200 by 3
| Step | Remainder × 10 | Divide by 3 | Remainder left |
|---|---|---|---|
| 1 | 20 | 20 ÷ 3 = 6 | 2 |
Questions
What is 2/3 as a percent?
2/3 as a percent is 66.666666…% (the digits 6 repeat forever), which is 66.67% rounded to 2 decimal places.
Is 2/3 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 6 (1 digit) repeats.
What is 2/3 as a decimal?
2/3 is 0.666666… as a decimal.
How do I round 2/3 to 2 decimal places?
2/3 rounded to 2 decimal places is 66.67%.