There are several synonyms for the phrase "breaks through", including penetrates, breaches, exceeds, surpasses, and overcomes. All of these synonyms suggest a forceful or determined action that demonstrates a level of success or achievement. For instance, when someone "penetrates" a market, they are able to establish themselves in a highly competitive field. Similarly, when someone "surpasses" their own expectations, they are able to achieve something that they may have thought was impossible. Regardless of the specific synonym used, each one conveys a sense of power and accomplishment that makes them useful for describing moments of personal or professional triumph.