Concrete floors are finished with a power float, a process which must be carried out while the concrete is curing. The power float first roughens the upper layer. A wear-resistant material (wear layer) is then spread over the floor. This wear layer is then ground into the roughened upper concrete layer with the power float. When the floor structure has been smoothed, the sanding sheets of the machine are exchanged for finishing sheets, and further finishing is carried out. The power floating process is continued in this way until the desired smooth, sealed top layer is obtained. This final top layer is both hard and wear-resistant.