What percent is 26 of 30?

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Answer 1 · 2017-01-14T18:43:11

26 of 30 is 86.7%

Let's call the percent we are looking for $p$ $p$ .

"Percent" or "%" means "out of 100" or "per 100", Therefore 9% can be written as $\frac{9}{100}$ $9/100$ .

When dealing with the term "x of y" or "26 of 30" it means to divide.

Putting this altogether we can write this equation and solve for $p$ $p$ while keeping the equation balanced:

$\frac{p}{100} = \frac{26}{30}$ $p/100 = 26/30$

$100 \times \frac{p}{100} = 100 \times \frac{26}{30}$ $color(red)(100) xx p/100 = color(red)(100) xx 26/30$

$cancel(color(red)(100)) xx p/color(red)(cancel(color(black)(100))) = 2600/30$

$p = 86.7$ rounded to the nearest tenth/