There are several synonyms for the phrase "worldly wise," which refers to someone who is experienced and knowledgeable about the ways of the world. One possible synonym is "sophisticated," which captures the idea of someone who is cosmopolitan, well-traveled, and knowledgeable about culture and society. Another synonym is "urbane," which emphasizes the polished and refined qualities of someone who is worldly wise. Other possible synonyms for this phrase might include "astute," "discerning," "perceptive," or "knowledgeable." Whatever the specific word choice, the key idea is that someone who is worldly wise is someone who has broad-based knowledge and understanding of the world around them.