Mac's credit card statement included $$2348\mathrm{.}00$ in cash advances and $$87\mathrm{.}18$ in interest charges. The interest rate on th statement was $9\frac{3}{4}\%$ p$.$a$.$ For how many days was Mac charged interest?

The number of days required is

$($Round up the final answer to the nearest day as needed. Round all intermediate values to six decimal places as needed.$)$