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8/17 as a percent

8/17 as a percent is 47.0588235294117647…% (the digits 0588235294117647 repeat forever), which is 47.06% rounded to 2 decimal places.

÷=47.0588235294117647…%

Change either number to try your own. The digits 0588235294117647 repeat. Rounded to 2 places: 47.06%. In lowest terms: 8/17.

See the full steps for these numbers

How to work it out

  1. 1

    Multiply by 100 to get a percent: 8/17 × 100 = 800/17. Then divide 800 by 17.

    817×100=80017\frac{8}{17} \times 100 = \frac{800}{17}
  2. 2

    17 goes into 800 47 times with 1 left over, so the whole part is 47.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 17, and write the digit. A remainder comes back after 16 steps, so the digits 0588235294117647 repeat forever.

  4. 4

    The result is

    817=47.0588235294117647‾%\frac{8}{17} = 47.\overline{0588235294117647}\%
LaTeX source of the formulas on this page
\[ \frac{8}{17} = 47.\overline{0588235294117647}\% \]
\[ \frac{8}{17} \times 100 = \frac{800}{17} \]

Long division of 800 by 17

StepRemainder × 10Divide by 17Remainder left
11010 ÷ 17 = 010
2100100 ÷ 17 = 515
3150150 ÷ 17 = 814
4140140 ÷ 17 = 84
54040 ÷ 17 = 26
66060 ÷ 17 = 39
79090 ÷ 17 = 55
85050 ÷ 17 = 216
9160160 ÷ 17 = 97
107070 ÷ 17 = 42
112020 ÷ 17 = 13
123030 ÷ 17 = 113

Questions

What is 8/17 as a percent?

8/17 as a percent is 47.0588235294117647…% (the digits 0588235294117647 repeat forever), which is 47.06% rounded to 2 decimal places.

Is 8/17 a terminating or a repeating decimal?

It repeats. The bottom number 17 = 17 has a prime factor other than 2 and 5, so the division never ends and the block 0588235294117647 (16 digits) repeats.

What is 8/17 as a decimal?

8/17 is 0.4705882352941176… as a decimal.

How do I round 8/17 to 2 decimal places?

8/17 rounded to 2 decimal places is 47.06%.

8/17 in the other form

Fractions with the bottom number 17

Fractions with the top number 8

    8/17 as a percent: 47.0588235294117647…% (with steps) | WordGPT