110 out of 570 students took business mathematics. What percent of students did not take the course?

To find the percent of students who did not take the course, we subtract the number of students who took the course from the total number of students and then divide by the total number of students and multiply by 100.

The number of students who did not take the course is 570 - 110 = <<570-110=460>>460 students.
So, the percent of students who did not take the course is (460/570)×100 = 0.8070×100 = 80.70%. Answer: \boxed{80.70}.