As of now (version 9.0) there is no direct option of changing the Back ground color of Tool tip.
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you can either change the font foreground color of the tooltip text or you can inversely change the background color of the dashboard / workbook view so that the white color for the tooltip stands out a bit more. Or you could submit a new idea and maybe it will be added as a new feature.Ideas
Thank you guys. I shall add it to the ideas list asap.
please mark as answered too
Did this idea got implemented in Tableau - Background color format in Tableau Tooltip?