Inventive embodiments are directed to components, subassemblies, systems, and/or methods for continuously variable transmissions (CVT) having a variator provided with a plurality of tilting, traction planets and traction rings. In one embodiment, a variator is coupled to a rangebox to provide multiple operating modes. In another embodiment, a hydraulic system is configured to control the transmission ratio of the variator and the rangebox. Various inventive shift-cam-and-sun subassemblies can be used to facilitate shifting of the transmission ratio of a CVT. Embodiments of a transmission housing and bell housing are adapted to house components of a CVT and, in some embodiments, to cooperate with other components of the CVT to support operation and/or functionality of the CVT. Various related devices include embodiments of, for example, a pivot arm, a control feedback mechanism, axial force generation and management mechanisms, a control valve integral with an input shaft, a pivot pin hub, and a rotatable carrier configured to support planet-pivot arm assemblies. FIG. 72 shows a torque-split ball-type rolling traction CVT with a ball-type rolling traction variator (1200) and planetary gearset (1400) which is followed by a rangebox (1600).