Answer :
Step 1
State the given data
[tex]\begin{gathered} \text{new hourly rate= 22.69} \\ \text{Previous rate=x} \\ \text{Increased rate \%}=105\text{\%} \\ \text{Previous rate \%= 100\%} \end{gathered}[/tex]Step 2
Find the previous rate (x) using ratio
[tex]\frac{\text{new hourly rate}}{\text{increased rate\%}}=\frac{Previous\text{ rate}}{\text{previous rate \%}}[/tex][tex]\begin{gathered} \frac{22.69}{105}=\frac{x}{100} \\ 105x=100\times22.69 \\ \frac{105x}{105}=\frac{2269}{105} \end{gathered}[/tex][tex]\begin{gathered} x=21.60952381 \\ \text{Hence her previous rate is }\approx\text{ 21}.61\text{ to 2 decimal places} \end{gathered}[/tex]