Revolutions per second is equal to revolutions per minute divided by 60 (seconds per minute).
Another way to look at this is to look at unit conversion:
(n revolutions / 1 minute) * (1 minute / 60 seconds) = n/60 revolutions / second
Each revolution is 360 degrees, so the number of degrees is 360 degrees times the number of revolutions, which is 360*n degrees / minute, or 360*n/60 degrees/second, where n is the RPM value.