What percent of 180 is 120?

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What percent of 180 is 120?

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Answer 1 · 2017-04-30T18:13:14

See the solution process below:

Explanation:

First, let's call the percent we are looking for $p$

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as $p/100$ .

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

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

$p/100 xx 180 = 120$

$color(red)(100)/color(blue)(180) * p/100 xx 180 = color(red)(100)/color(blue)(180) * 120$

$cancel(color(red)(100))/cancel(color(blue)(180)) * p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(180))) = 12000/color(blue)(180)$

$p = 66.bar6$

120 is $66.bar6$ % or $66 2/3%$ of 180.

Answer 2 · 2017-04-30T18:13:46

$66.bar6%$

Explanation:

You take $120$ over $180$ and times it by $100%$ to get the percentage.

$(120/180)=0.bar6$

$0.bar6 xx 100%=66.bar6%$

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What percent of 180 is 120?

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