Cosmetic compositions and methods for changing the color of keratinic fibers are provided herein. In an embodiment, a cosmetic composition for lightening the color of keratinic fibers includes at least two separately packaged formulations (A) and (B), which are mixed immediately prior to application to give an application mixture. The formulation (A) includes at least one dye chosen from the group of oxidation dye precursors, direct dyes, or a combination thereof. The composition (B) is a flowable composition including water and at least one oxidizing agent. Formulation (A) has been packaged in a water-soluble film including, based on its total weight, at least about 60% by weight of a polymer mixture having a multimodal molecular weight distribution.