The phrase "sate it out" can mean to wait patiently until something is finished or to endure something until it is completely fulfilled. There are several synonyms for this phrase, including "wait it out," "ride it out," "endure it," "persevere," "be patient," and "see it through." These phrases all convey the same idea of waiting or enduring until a task or situation is completed. Whether it's waiting for a storm to pass, enduring a difficult project, or simply being patient in a trying situation, there are many ways to express the idea of "sating it out".