52/77 as a percent
52/77 as a percent is 67.532467…% (the digits 532467 repeat forever), which is 67.53% rounded to 2 decimal places.
Change either number to try your own. The digits 532467 repeat. Rounded to 2 places: 67.53%. In lowest terms: 52/77.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 52/77 × 100 = 5200/77. Then divide 5200 by 77.
- 2
77 goes into 5200 67 times with 41 left over, so the whole part is 67.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 77, and write the digit. A remainder comes back after 6 steps, so the digits 532467 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{52}{77} = 67.\overline{532467}\% \]
\[ \frac{52}{77} \times 100 = \frac{5200}{77} \]Long division of 5200 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 410 | 410 ÷ 77 = 5 | 25 |
| 2 | 250 | 250 ÷ 77 = 3 | 19 |
| 3 | 190 | 190 ÷ 77 = 2 | 36 |
| 4 | 360 | 360 ÷ 77 = 4 | 52 |
| 5 | 520 | 520 ÷ 77 = 6 | 58 |
| 6 | 580 | 580 ÷ 77 = 7 | 41 |
Questions
What is 52/77 as a percent?
52/77 as a percent is 67.532467…% (the digits 532467 repeat forever), which is 67.53% rounded to 2 decimal places.
Is 52/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 532467 (6 digits) repeats.
What is 52/77 as a decimal?
52/77 is 0.675324… as a decimal.
How do I round 52/77 to 2 decimal places?
52/77 rounded to 2 decimal places is 67.53%.