What percent of 200 is 340?

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What percent of 200 is 340?

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Answer 1 · 2017-01-29T00:27:07

Let x be that percent hence

$340*x%=200$

$340*x/100=200$

$3.4*x=200$

$x=200/3.4$

$x=58.8235294118$

Hence

$200$ is $58.8235294118%$ of $340$

Answer 2 · 2017-01-29T00:29:03

170% of 200 = 340

Explanation:

Lets 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:

$p/100 xx 200 = 340$

$color(red)(100)/color(blue)(200) xx p/100 xx 200 = color(red)(100)/color(blue)(200) xx 340$

$cancel(color(red)(100))/cancel(color(blue)(200)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(200))) = 34000/color(blue)(200)$

$p = 170$

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What percent of 200 is 340?

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