71/84 as a percent
71/84 as a percent is 84.523809…% (the digits 523809 repeat forever), which is 84.52% rounded to 2 decimal places.
Change either number to try your own. The digits 523809 repeat. Rounded to 2 places: 84.52%. In lowest terms: 71/84.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 71/84 × 100 = 7100/84. Then divide 7100 by 84.
- 2
84 goes into 7100 84 times with 44 left over, so the whole part is 84.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 84, and write the digit. A remainder comes back after 6 steps, so the digits 523809 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{84} = 84.\overline{523809}\% \]
\[ \frac{71}{84} \times 100 = \frac{7100}{84} \]Long division of 7100 by 84
| Step | Remainder × 10 | Divide by 84 | Remainder left |
|---|---|---|---|
| 1 | 440 | 440 ÷ 84 = 5 | 20 |
| 2 | 200 | 200 ÷ 84 = 2 | 32 |
| 3 | 320 | 320 ÷ 84 = 3 | 68 |
| 4 | 680 | 680 ÷ 84 = 8 | 8 |
| 5 | 80 | 80 ÷ 84 = 0 | 80 |
| 6 | 800 | 800 ÷ 84 = 9 | 44 |
Questions
What is 71/84 as a percent?
71/84 as a percent is 84.523809…% (the digits 523809 repeat forever), which is 84.52% rounded to 2 decimal places.
Is 71/84 a terminating or a repeating decimal?
It repeats. The bottom number 84 = 2 × 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 523809 (6 digits) repeats.
What is 71/84 as a decimal?
71/84 is 0.84523809… as a decimal.
How do I round 71/84 to 2 decimal places?
71/84 rounded to 2 decimal places is 84.52%.