Abstract: Provided herein is a transmission system including: a housing; a pair of double-layered gears for transmitting a power from a motor to a screw driver shaft defining a transmission axis, the pair of gears including a first bigger gear and a first smaller gear; a torque cup for covering a leading end portion of the housing through which the shaft is extended from the housing; a first set of planetary gears for driving the shaft, regularly surrounding and meshing the first smaller gear; and a first ring gear for sliding axially against the housing and meshing the first bigger gear and/or the first set of planetary gears; wherein the torque cup can be turned to force the first ring gear to slide axially.