The total expense would be
[tex]89.97+43.9624.97=158.9[/tex]
Let x be the percentage of taxes: the expense after taxes would be
[tex]158.9+158.9\cdot\dfrac{x}{100} = 169.98[/tex]
Which implies
[tex]158.9\cdot\dfrac{x}{100} = 11.08 \iff 1.589x=11.08 \iff x=\dfrac{11.08}{1.589}\approx 6.97[/tex]
So, she paid about 7% taxes, which seems quite reasonable