Windowman Distribution, Inc. operates $360$ days per year and uses a P$-$model to make inventory decisions about a replacement part for a popular residential window. Daily demand has been forecast to be $300$ units and the standard deviation of daily demand is $100.$ The order interval is $12$ days and the order lead time is $4$ days. Windowman currently uses a safety stock level of $500$ for this part. What percentage is the approximate service level for this inventory item?

$92\mathrm{.}24$

$89\mathrm{.}44$

$99\mathrm{.}99$

$84\mathrm{.}13$