A wringer has a support surface and a first wringer surface depending from the support surface to a second wringer surface having perforations and curving to a free edge substantially below the support surface. The second wringer surface may be curved in an approximately 180 degree arc. The first wringer surface may be flat and also perforated. The support surface may be formed as an inverted channel structure with a closed upper surface and an angled surface extending away from the first wringer surface. The angled surface may extend at an angle approximately 45 degrees. The wringer may be used with one or more buckets, where the wringer is supported from the rim of one bucket or from the adjacent rims of two buckets. A flat first wringer surface may be used to ring a flat mop, and the curved second wringer surface may be used to bring a round mop.