well established
adjective uk/ˌwel ɪˈstæb.lɪʃt/ us/ˌwel ɪˈstæb.lɪʃt/
得到确认的;公认的
having a recognized position, or being generally known about
The rules, though not written down, are fairly well established. 那些规则虽然没有写下来，却是得到公认的。
World Music is now well established and popular with mass audiences. 世界音乐现在已广为人知，并受到了广大听众的喜爱。