There are several synonyms for the phrase "bringing to one's knees," which means to reduce someone or something to a state of defeat or submission. One alternative phrase is "crushing underfoot," which suggests a strong and decisive victory over an opponent. Another option is "overpowering," which implies a physical or psychological dominance over the other party. "Subduing" is a similar term that conveys a sense of taming or controlling a situation. Finally, "conquering" is a simple and direct synonym that carries the same meaning as "bringing to one's knees." Regardless of the specific term used, each of these phrases implies a successful and decisive defeat.