Permeate market essentially refers to the act of a product or service gaining wider acceptance within a specific market. There are several synonyms for this phrase, and they include "penetrate market," "capture market share," "dominate market," "establish footing," "break into market," and "take over market." Each of these synonyms captures the idea behind permeate market, which is essentially to become a major player within a particular market segment. Companies often use various marketing strategies to help their products and services permeate the market, with the ultimate goal of gaining more customers and expanding their business.