Lithium-sulfur (Li-S) batteries are in theory, from their basic reactions, very promising from a specific energy density point-of-view, but have bad power rate capabilities. The dissolution of sulfur from the C/S cathodes into the electrolyte is a rate determining and crucial step for the functionality. So far, time-consuming experimental methods, such as HPLC/UV, have been used to quantify the corresponding solubilities. Here, we use a computational fluid phase thermodynamics approach, the conductor-like screening model for real solvents (COSMO-RS), to compute the solubility of sulfur in different binary and ternary electrolytes. By using both explicit and implicit solvation approaches for LiTFSI containing electrolytes a deviation <0.4 log units was achieved vs. experimental data -in the range of experimental error and hence proves COSMO-RS to be a tool for exploring novel Li-S battery electrolytes.