Provided herein is a cleaning composition including: from 20 to 90% by weight of dimethyl sulfoxide, from 5 to 30% by weight of at least one mineral oil (M), and from 5 to 50% by weight of at least one bipolar organic solvent (L). The ranges of proportions indicated are in each case based on the total weight of the cleaning composition. Also provided herein is a method of cleaning components by employing the cleaning composition, and also the cleaned components themselves.