As far as I understand from the Wikipedia article, this practice has spread directly from Judaism (7 days) through Christianity through the Roman Empire (which renamed the days according to the planets/gods) to all of these places. It's not clear from the article if perhaps the Ancient Greeks had a similar system already - but otherwise, the Indians and the Chinese adopted this system from Roman/Hellenistic sources between the 3rd and 4th centuries CE, and other cultures around them adopted it from them slightly later.