Restaurant XXY is committed to changing its menu to provide healthier fare. However, the transition is increasing the costs per meal by $10\%$ and sales have fallen off by $6\%.$ Profit margin before the change was $11\mathrm{.}9\%.$ Sales revenue before the transition was $$448$ million and the meal costs were $$120$ million. Assume other costs remained a constant percentage of sales. What is Restaurant XXY$\text{'}$s profit margin after the transition?

$11\mathrm{.}18\%$

$9\mathrm{.}98\%$

$8\mathrm{.}66\%$

$9\mathrm{.}22\%$

$11\mathrm{.}98\%$