In an electric power steering apparatus, at least one of a speed reduction
gear ratio of the speed reduction gear mechanism and the number of pole
pairs of a motor resolver is set in such a manner that a calculated
value, which is obtained by multiplying the speed reduction gear ratio of
the speed reduction gear mechanism with the number of pole pairs of the
motor resolver, represents a non-integer having a numerical value of the
decimal place. This electric power steering apparatus includes an
absolute rotational position specifying device configured to specify an
absolute rotational position of the steering wheel from among plural
possible absolute rotational positions that are obtained based on the
steering angle and the motor electrical angle. This electric power
steering apparatus is hence capable of controlling an electric motor
based on the absolute rotational position of the steering wheel.