In a particular class, exams are worth $50\%$ of the overall grade, quizzes are worth $30\%$ of the overall grade, homework is worth $15\%$ of the overall grade, and class participation is worth $5\%$ of the overall grade.

A particular student has earned an average score of $87\mathrm{.}6\%$ on the exams, $77\mathrm{.}5\%$ on the quizzes, $90\mathrm{.}0\%$ on the homeworks, and $100\mathrm{.}0\%$ on class participation. What is this student's overall grade in the course?

Report the answer with one digit after the decimal point.