What part of a revolution have you turned through if you stand facing:
West and turn clockwise to face east?
In order to face towards the east after turning clockwise from facing towards the west, one must turn 24th or 12 of a full revolution.
A full revolution, in this case, will be four 90∘ rotations in the clockwise direction.
One 90∘ rotation will be towards north and another will be towards the east.
Hence, required turn is half of the revolution.