Question

43 is what percent of 91?

I prefer if you set it up the proportion way. What i mean is do 43 over 91 and x over 100

Answer 1

See a solution process below:

Explanation:

We can write:

`x/100 = 43/91`

`color(red)(100) xx x/100 = color(red)(100) xx 43/91`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 4300/91`

`x = 47.bar252747`

43 is `47.bar252747%` of 91

Another approach:

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

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

Putting this altogether we can write this equation and solve for `x` while keeping the equation balanced:

`43 = x/100 xx 91`

`color(red)(100)/color(blue)(91) xx 43 = color(red)(100)/color(blue)(91) xx x/100 xx 91`

`4300/color(blue)(91) = cancel(color(red)(100))/cancel(color(blue)(91)) xx x/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(91)))`

`47.bar252747 = x`

`x = 47.bar252747`

Answer 2

`43%` of `91` is `47`.

Explanation:

`43/91=x/100`

Multiply both sides by `100`.

`100xx43/91=x`

Simplify.

`47=x` (rounded to a whole number)