An electrolyte for electropolishing metal surfaces, in particular workpieces, in particular made of titanium or titanium alloys such as nitinol. The electrolyte composition includes methanesulfonic acid and more than one polyhydric alcohol. The content of methanesulfonic acid is less than 15 vol %, the polyhydric alcohols having at least one diol and at least one polyalcohol. The at least one diol accounts for 20 to 65 vol %, and the at least one polyalcohol accounts for 20 to 65 vol %