How do we know the priesthood of Jesus is better?

The superiority of Jesus' priesthood is established in Hebrews 8:6, where it emphasizes that He has obtained a more excellent ministry. Unlike the Levitical priests, whose sacrifices were merely shadows of the true sacrifice, Jesus offers Himself, fulfilling the role of priest, altar, and sacrifice. Furthermore, He mediates a better covenant than the Old Testament which relied on man’s obedience, for His covenant is established on the perfect obedience of Christ and His atoning sacrifice.