How do we know that Christ's righteousness is our own?

In the Reformed perspective, Christ's righteousness is credited to believers through faith, confirming our standing before God. 2 Corinthians 5:21 states, 'For our sake He made Him to be sin who knew no sin, so that in Him we might become the righteousness of God.' This signifies that Jesus took our sins upon Himself and, in return, grants us His righteousness. Thus, we no longer strive for righteousness through our efforts but rest in His finished work on the cross, which secures our acceptance with God.