Question

55 is 8% of what number?

Answer 1

The expression of the percentage is define as:

`\text{Percentage of part x = }\frac{part\text{ x}}{whole\text{ amount}}*100`

It is given that 55 is the part of the whole amount and 8 is the percentage value

We need to solve for the whole amount

Substitute x = 55, perecentage = 8

`\begin{gathered} \text{Percentage of part x = }\frac{part\text{ x}}{whole\text{ number}}*100 \\ 8=\frac{55}{Whole\text{ Number}}*100 \\ \text{whole number=}(55)/(8)*100 \\ \text{Whole number = 6.875}*100 \\ \text{Whole number =687.5} \end{gathered}`

The 55 is the 8% of number 687.5

Answer : Number = 687.5