8/45 as a percent
8/45 as a percent is 17.777777…% (the digits 7 repeat forever), which is 17.78% rounded to 2 decimal places.
Change either number to try your own. The digits 7 repeat. Rounded to 2 places: 17.78%. In lowest terms: 8/45.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 8/45 × 100 = 800/45. Then divide 800 by 45.
- 2
45 goes into 800 17 times with 35 left over, so the whole part is 17.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 45, and write the digit. A remainder comes back after 1 step, so the digits 7 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{45} = 17.\overline{7}\% \]
\[ \frac{8}{45} \times 100 = \frac{800}{45} \]Long division of 800 by 45
| Step | Remainder × 10 | Divide by 45 | Remainder left |
|---|---|---|---|
| 1 | 350 | 350 ÷ 45 = 7 | 35 |
Questions
What is 8/45 as a percent?
8/45 as a percent is 17.777777…% (the digits 7 repeat forever), which is 17.78% rounded to 2 decimal places.
Is 8/45 a terminating or a repeating decimal?
It repeats. The bottom number 45 = 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 7 (1 digit) repeats.
What is 8/45 as a decimal?
8/45 is 0.177777… as a decimal.
How do I round 8/45 to 2 decimal places?
8/45 rounded to 2 decimal places is 17.78%.