A display device has a movable screen that is movable in a movement direction, a drive controller, a projector, and a position detector. The drive controller moves the movable screen relative to a reference position set at a prescribed position in a movement range of the movable screen. The projector performs drawing on the movable screen by irradiating the movable screen with light used for scanning the movable screen and projects a virtual image onto a target space based on light that passes through the movable screen. The position detector executes position detection processing for detecting that the movable screen is located at a detection position set in relation to the prescribed position. The position detector moves the movable screen and executes the position detection processing in a non-display period in which the movable screen is not irradiated with light from the projector.