The present invention relates to a cosmetic polyurethaneurea copolymer composition comprising a solvent, a polyurethaneurea and a copolymer, said polyurethaneurea being obtainable by reacting a single polyisocyanate component containing at least 75 mol % of IPDI, at least one polymeric polyol component, at least one hydrophilizing component and a single diamine component containing at least 75 mol % of IPDA, and said copolymer being obtainable by reaction of at least one monomer including acrylate groups with at least one further monomer. The invention further provides for the use of the cosmetic composition in cosmetics and a method for shaping hairstyles using the cosmetic composition.