The expression of the percentage is define as:
[tex]\text{Percentage of part x = }\frac{part\text{ x}}{whole\text{ amount}}\times100[/tex]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
[tex]\begin{gathered} \text{Percentage of part x = }\frac{part\text{ x}}{whole\text{ number}}\times100 \\ 8=\frac{55}{Whole\text{ Number}}\times100 \\ \text{whole number=}\frac{55}{8}\times100 \\ \text{Whole number = 6.875}\times100 \\ \text{Whole number =687.5} \end{gathered}[/tex]The 55 is the 8% of number 687.5
Answer : Number = 687.5
