52/67 as a percent
52/67 as a percent is 77.611940298507462686567164179104477…% (the digits 611940298507462686567164179104477 repeat forever), which is 77.61% rounded to 2 decimal places.
Change either number to try your own. The digits 611940298507462686567164179104477 repeat. Rounded to 2 places: 77.61%. In lowest terms: 52/67.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 52/67 × 100 = 5200/67. Then divide 5200 by 67.
- 2
67 goes into 5200 77 times with 41 left over, so the whole part is 77.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 67, and write the digit. A remainder comes back after 33 steps, so the digits 611940298507462686567164179104477 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{52}{67} = 77.\overline{611940298507462686567164179104477}\% \]
\[ \frac{52}{67} \times 100 = \frac{5200}{67} \]Long division of 5200 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 410 | 410 ÷ 67 = 6 | 8 |
| 2 | 80 | 80 ÷ 67 = 1 | 13 |
| 3 | 130 | 130 ÷ 67 = 1 | 63 |
| 4 | 630 | 630 ÷ 67 = 9 | 27 |
| 5 | 270 | 270 ÷ 67 = 4 | 2 |
| 6 | 20 | 20 ÷ 67 = 0 | 20 |
| 7 | 200 | 200 ÷ 67 = 2 | 66 |
| 8 | 660 | 660 ÷ 67 = 9 | 57 |
| 9 | 570 | 570 ÷ 67 = 8 | 34 |
| 10 | 340 | 340 ÷ 67 = 5 | 5 |
| 11 | 50 | 50 ÷ 67 = 0 | 50 |
| 12 | 500 | 500 ÷ 67 = 7 | 31 |
Questions
What is 52/67 as a percent?
52/67 as a percent is 77.611940298507462686567164179104477…% (the digits 611940298507462686567164179104477 repeat forever), which is 77.61% rounded to 2 decimal places.
Is 52/67 a terminating or a repeating decimal?
It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 611940298507462686567164179104477 (33 digits) repeats.
What is 52/67 as a decimal?
52/67 is 0.776119402985074626865671641791044… as a decimal.
How do I round 52/67 to 2 decimal places?
52/67 rounded to 2 decimal places is 77.61%.