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Phrase(s): do a three-sixty [and] turn three-hundred and sixty degrees
1. Lit. to turn completely around. • I was really lost. I did a three-sixty in the middle of the street because I couldn’t make up my mind which way to go. 2. Fig. to reverse a decision or an opinion and then return to one’s original stance. • Over time, he did a three-sixty in his thinking about integration.
McGrawhill's American Idioms And Phrasal Verbs