The present invention provides anhydrous compositions for topical delivery of a medicament comprising (A) a penetration enhancer/solvent selected from the group consisting of alcohol, propylene glycol, or a combination thereof; (B) a humectant/solvent selected from the group consisting of polyethylene glycol, glycerin, sorbitol, xylitol, or any combination of any of the foregoing; and (C) an anhydrous vehicle. In an alternate embodiment, the present invention provides anhydrous compositions for topical delivery of a medicament which comprise (A) a penetration enhancer/solvent selected from the group consisting of alcohol, propylene glycol, or a combination thereof; (B) a humectant/solvent selected from the group consisting of polyethylene glycol, glycerin, sorbitol, xylitol or any combination of any of the foregoing; (C) an anhydrous vehicle; and (D) a medicament. Also provided are methods for topically delivering a medicament to an animal, such as a mammal or a human patient, in need of the medicament by topically administering to the animal the compositions of the present invention.