Exercise $5-22($Algorithmic$)($LO$.2)$ Mio was transferred from New York to Germany. He lived and worked in Germany for $345$ days in $2024($a leap year$)$ and can show that his tax home is now Germany. Mio's salary for $2024$ is $\backslash (\backslash$$ $260,800\backslash ).$ Assume a $366-$day year. In your computation, round any division to four decimal places before converting to a percentage. For example, $0\mathrm{.}473938$ would be rounded to $0\mathrm{.}4739$ and converted to $\backslash (\backslash$mathbf$\{47.39\backslash \%\}\backslash ).$ If required, round your final answer to the nearest dollar. What is Mio's foreign earned income exclusion? $\backslash (\backslash$$ $\backslash )$