How does the righteousness of God get established?

Romans 3 explains that righteousness from God is revealed without the law and is by the faith of Jesus Christ (Romans 3:21-22). This righteousness is not based on human works but is instead a gift from God, accomplished through the finished work of Christ. When believers place their faith in Him, they are justified freely by God's grace, which emphasizes that salvation is not achieved by adherence to the law, but solely through faith in Christ's redemptive work. Thus, faith establishes the righteousness that belongs to Christ and is imputed to believers.