A continuously variable transmission includes two planetary gear sets having two outputs. A variator drives a ring gear of the second planetary gear set, and a transmission input shaft is driven by the engine, which also drives the variator and the planetary input. Second and third output shafts are connected to a transmission output shaft. A first clutch is connected to the first output shaft, a second clutch is connected to the second planetary output and engages a first drive gear. A third clutch is connected to the first output shaft and releasably engages the first drive gear, a fourth clutch is connected to the first drive gear and releasably engages the second output shaft, and a fifth clutch is connected to the first drive gear and releasably engages the third output shaft.