Let x be the unknown number, then we can establish the following rule of three
[tex]\begin{gathered} 45\text{ ------- 130 \%} \\ x\text{ ------- 100 \%} \end{gathered}[/tex]By cross-multiplying these numbers, we have
[tex]x\times\text{ (130 \%)=45}\times\text{ 100\%}[/tex]Then, x is given by
[tex]\begin{gathered} x=\frac{\text{45}\times\text{ 100\%}}{\text{130 \%}} \\ x=\frac{4500}{130} \\ \end{gathered}[/tex]then, x is
[tex]x=34.615[/tex]Therefore, the searched number is: 34.615
