A multiply configurable hat having a visor assembly joined to a double thickness knit stocking cap. The visor assembly is formed of a visor or bill portion joined to an adjustable headband and is separable from the stocking cap and is independently wearable as a visor. The visor assembly is installed into the annular space between the inner and outer knit fabric tubes of the double thickness knit stocking cap and is movable therein relative to the inner and outer knit fabric tubes. Furthermore, the inner and outer knit fabric tubes are configurable relative to the visor assembly, such that the visor portion is arranged in proximity to the brim and the headband is movable along a length of the annular space. The inner and outer knit fabric tubes of the stocking cap are thus configurable relative to the visor assembly into a variety of different arrangements.