Question

What percent of 17.5 is 12?

Answer 1

`68.57%` of `17.5` is `12`

Explanation:

Let `x` be the percent of 17.5 that is 12

We can write the expression as:

`x /100 \times 17.5 = 12`

transposition

`x /100 \times 17.5 = 12`

`x \times 17.5 = 12\times 100`

`x = (12\times 100)/ 17.5`

`x = 68.57` --------(approximately after truncating the value up to two decimal places)

`68.57%` of `17.5` is `12`

Answer 2

`=68 4/7% or 68.6` to one decimal place.

Explanation:

To find what percent one quantity is of another, you can use the method:

`"fraction" xx 100%`

It is easier to ask the question the other way round because that helps to identify the fraction. One number is a fraction of another.

What percent is `12 " out of " 17.5?`

`12/17.5 color(blue)(xx 100%)" "larr (color(blue)(xx 100% = xx1))`

`=68.57142857....`

(You might recognise the recurring decimals as 'sevenths')

`=68 4/7% or 68.6` to one decimal place.