Question

`9%` of what number is `2101.5` ?

Answer 1

`2,101.5` is `9%` of `23,350`

Explanation:

Let the number be `x`

`9` percent of the number means
`color(white)("XXX")9/100 xx x`

So if `2101.5` is `9` percent of the number:
`color(white)("XXXXXXXXXX")2101.5=color(white)("XXXX")9/100 xx x`

`color(white)("XXX")rarr 100/9 xx 2101.5 = 100/9 xx 9/100 xx x`

`color(white)("XXX")rarr 210150/9 = cancel(100)/cancel(9) xx cancel(9)/cancel(100) xx x`

`color(white)("XXX")rarrcolor(white)("X")23350 = x`

Answer 2

23,350

Explanation:

Let `x` be the number.

We are told that `2101.5 = 9%` of `x`

`:. x=2101.5/(9/100) = 2101.5/0.09 =23,350`