In a course run by the history department, a student achieved 46.3% on the mid- semester exam, 65% on the take-home final exam, 60% on the major project and 52% on the in-class essay. The mid-semester exam, take-home exam and project contribute 15%, 30% and 40%, to the student's overall final score out of 100%. Determine the student's weighted average overall final score (as a percentage correct to two decimal places).