A fibrous nonwoven material which is vertically lapped in its entirety or which includes one or more lapped regions which include vertically lapped fibers provides for padding to be applied to a substrate (e.g., an article of interest such as a handle for sporting equipment or tool, or on the inside of a motorcycle or bicycle helmet, etc.). The skin contacting surface of the nonwoven has regions which are relatively thicker than other regions, and air, sweat, and the like are allowed to easily pass through these regions for cooling, wicking of fluid and enhanced breathability. The lapped nonwoven includes a backing material which helps define the pad shape and which permits securing to a substrate. A hook and loop fastener may be affixed to the lapped nonwoven at the backing material so as to allow retrieval and replacement of the nonwoven on the substrate. An acquisition layer on the surface can be used on the surface of the nonwoven, and a carded consolidated web may be positioned within the nonwoven. The nonwoven may take a variety of shapes including the shape of a strip and the shape of a koozie.