A continuously variable power-branched transmission for a motor vehicle, including an input shaft, a variable speed drive unit having pairs of conical disks and a continuously variable transmission ratio, a gear system, and an output shaft. Two control clutches connect the variable speed drive unit and the gear system so that when going through the entire transmission ratio range of the power-branched transmission the adjustment range of the variable speed drive unit is passed through a plurality of times. The transmission also includes rotational speed sensors and a controller that determines whether a change in rotational speed is triggered by a change in the transmission ratio, and when it is not triggered by a change in the transmission ratio, the controller adjusts the variable speed drive unit so that the change in rotational speed not triggered by a change in the transmission ratio is compensated.