Question

45 is what percent of 60?

Answer 1

`75%`

Explanation:

Let the percent be `color(blue)(x%`

It can be written as: `color(blue)(x%=x/100`

(percents are fractions with denominator `100`)

So,

`rarr60xxcolor(blue)(x/100)=45`

`rarrcancel60^3xxcolor(blue)(x/cancel100^5)=45`

`rarr3xxcolor(blue)(x/5)=45`

`rarrcolor(blue)((3x)/5)=45`

Multiply both sides by `5`

`rarrcolor(blue)((3x)/cancel5)xxcancel5=45xx5`

`rarrcolor(blue)(3x)=225`

Divide both sides by `3`

`rarrcolor(blue)(cancel3x)/cancel3=225/3`

`color(green)(rArrcolor(blue)(x)=75`

So, `45 " is " 75% "of " 60`