Composition, for stripping of keratinous fibers, comprises at least a peroxygenated salt and at least a branched non-volatile ester liquid of carboxylic acid of which solidification point is less than 4[deg] C comprising acid compound. Composition for stripping of keratinous fibers, comprises at least a peroxygenated salt and at least a branched non-volatile ester liquid of carboxylic acid of which solidification point is less than 4[deg] C comprising acid compound of formula (R 1-CO-O-R 2). R 1, R 21-30C hydrocarbon, optionally substituted by oxygen and/or carbonyl group or hydroxy group. Independent claims are included for: (1) a process for stripping comprising applying the composition in the form of an anhydrous paste, to the keratinous fibers, in the presence of an aqueous composition comprising hydrogen peroxide and (2) a device with several compartments comprising at least two compositions conditioned separately in which the mixture led to a composition comprising hydrogen peroxide.