189 is 90% of what number?

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Answer 1 · 2016-12-19T15:05:35

189 is 90% of 210

"Percent" or "%" means "out of 100" or "per 100", Therefore 90% can be written as $\frac{90}{100}$ $90/100$ .

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

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

$189 = \frac{90}{100} \times n$ $189 = 90/100 xx n$

$\frac{100}{90} \times 189 = \frac{100}{90} \times \frac{90}{100} \times n$ $color(red)(100/90) xx 189 = color(red)(100/90) xx 90/100 xx n$

$100/90 xx 189 = color(red)(cancel(color(black)(100/90))) xx color(red)(cancel(color(black)(90/100))) xx n$

$100/90 xx 189 = n$

$18900/90 = n$

$210 = n$