Given data:
The total numbers of juveniles arrrested are T=85,823.
The number of felonies are f=27,151.
The perccentage of felonies is,
[tex]\begin{gathered} p=\frac{f}{T}\times100 \\ =\frac{27151}{85823}\times100 \\ =31.636\text{ percentage} \end{gathered}[/tex]Thus, the percentage of felonies is 36.636%.