Question

95 is 95% of what number?

Answer 1

Solving from first principle..... `x=100`

Explanation:

Think of % as a fraction or perhaps a ratio.

Let the unknown value be `x`

Given: `color(brown)(95% x =95)`

Write this as:

`color(brown)(95/100 xx x = 95)`

Multiply both the left and right by `color(blue)(100/95)` giving

`color(brown)(95/100xx xcolor(blue)(xx100/95)= 95xxcolor(blue)(100/95))`

This may be written as:

`color(brown)((95)/(color(blue)(95))xxcolor(blue)(100)/100xxx= 95/(color(blue)(95))color(blue)( xx 100))`

But `95/95 = 100/100 = 1` giving

`1xx1xx x =1 xx 100`

`x=100`