The disclosure relates to an electric power steering system having a rack for steering wheels of a vehicle and having a pinion shaft. The pinion shaft meshes with a row of teeth of the rack in an assembled state. The rack has an assembly portion for an initial assembly of the pinion shaft, with one end of the row of teeth transitioning into the assembly portion. On the one hand, to facilitate initial assembly for establishing a connection between the pinion shaft and the row of teeth of the rack and, on the other hand, to prevent the connection between the pinion shaft and the row of teeth of the rack from breaking during repair measures carried out after the initial assembly, the electric power steering system is arranged such that first teeth of the row of teeth each have a first tooth height and the assembly portion has second teeth for interacting with the pinion shaft, the second teeth each having a second tooth height that is less than the first tooth height.