A transmission includes an input shaft, an output shaft, a variator, a plurality of clutches including a first clutch, a second clutch, a third clutch, a fourth clutch, and a variator bypass clutch, and a plurality of gearsets including a first gearset, a second gearset, a third gearset, and a fourth gearset. The transmission is operable in a plurality of operating modes, including at least mode in which the variator is utilized to provide a transmission ratio varying within a defined range and at least one mode in which the variator is bypassed to provide a fixed transmission ratio.