Color management which converts internal color appearance space color values to CMYK device values. CMY values are interpolated from a plurality of CMY to color appearance space lookup tables, wherein each CMY table is associated with a specific value of K. A target internal color value is received and one of the plurality of CMY lookup tables is selected based on a lightness value and neutrality of the target internal color value. A CMY value is interpolated from the selected lookup table and the target internal color value. The interpolated CMY value together with the associated K value from the selected table is provided as the converted CMYK color value. Advantageously, the conversion effects control over the output K value in a color appearance space to CMYK conversion. Accordingly, both neutral and non-neutral colors can be reproduced with better accuracy and higher quality.