The phrase "won out" has various synonyms that can be used to replace it in different contexts. Some of these synonyms include "prevailed," "triumphed," "succeeded," "overcame," "dominated," "conquered," "vanquished," "convinced," "persuaded," "outclassed," "outranked," and "outshone." These words can be used to describe different situations where someone or something has emerged victorious or gained the upper hand over another. For example, "the underdog team prevailed in the championship match," "the new product succeeded in the market," or "the strong argument convinced the jury." Each synonym brings its own nuances and implications to the context in which it is used, creating a rich and varied vocabulary for expressing accomplishment and success.