Question

75 is what percent of 130.2?

Answer 1

Approximately `57.6%`

Explanation:

If `x%` of `130.2` is `75`
then
`color(white)("XXX")x/100 xx 130.2=75`

`color(white)("XXX")rarr x=75/130.2xx100`

`color(white)("XXX")rarr x~~ 57.6`

Answer 2

An example of an alternative approach. Alan's method is much easier if just an approximation is good enough.

`57color(white)(.) 131/217 %` as an exact value

As an approximate % `-> 57.604` to 3 decimal places

Explanation:

`130.2 -> 130 1/5 -> 651/5`

So we have: `75/(651/5) -> 75xx5/651`

`375/651` as a fraction

Converting this to percentage multiply by 100

`" "(375xx100)/651 = 57 131/217` as an exact %

As an approximate % `-> 57.604` to 3 decimal places