The present invention is directed to a cleansing composition comprising:(a) at least one nonionic surfactant (b) at least one amphoteric surfactant (c) at least one component selected from (i) a nonionic thickener or (ii)(1) a cationic agent combined with (ii)(2) an anionic surfactant, or a mixture of nonionic thickener plus cationic agent and/or anionic surfactant and (d) water.