Question

What percent of 200 is 340?

Answer 1

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

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`