Process for preparing alkylaryl hydroperoxide containing product, which process comprises:

(a) oxidation of an alkylaryl compound to obtain reaction product containing alkylaryl hydroperoxide,

(b) contacting with water at least part of the alkylaryl hydroperoxide containing reaction product obtained in step (a) which reaction product contains less than 0.05 % wt of sodium,

(c) separating the product of step (b) into a hydrocarbonaceous phase containing alkylaryl hydroperoxide and an aqueous phase,

(d) optionally repeating process steps (b) and (c) one or more times,

(e) contacting at least part of the hydrocarbonaceous phase containing alkylaryl hydroperoxide obtained in step (c) or (d) with olefin and catalyst to obtain alkylaryl hydroxide and oxirane compound, and

(f) separating at least part of the oxirane compound from the alkylaryl hydroxide.