195 is 7.5% of what number?

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195 is 7.5% of what number?

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Answer 1 · 2018-03-11T13:23:11

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 7.5% can be written as $\frac{7.5}{100}$ $7.5/100$ .

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:

$195 = \frac{7.5}{100} \times n$ $195 = 7.5/100 xx n$

$\frac{100}{7.5} \times 195 = \frac{100}{7.5} \times \frac{7.5}{100} \times n$ $color(red)(100)/color(blue)(7.5) xx 195 = color(red)(100)/color(blue)(7.5) xx 7.5/100 xx n$

$19500/color(blue)(7.5) = cancel(color(red)(100))/cancel(color(blue)(7.5)) xx color(blue)(cancel(color(black)(7.5)))/color(red)(cancel(color(black)(100))) xx n$

$2600 = n$

$n = 2600$

195 is 7.5% of 2,600

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195 is 7.5% of what number?

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