What is the origin of the idiom "hang one's hat on something" and when to use it?

The origin of the idiom "hang one's hat on something" is uncertain, as its specific etymology is not well-documented. However, it is believed to have its roots in the practice of hanging one's hat on a hook or stand when entering a home or establishment. By placing their hat on a designated spot, individuals symbolically establish their presence and claim a sense of belonging. It is commonly used when discussing personal convictions, professional choices, or significant aspects of one's life.