There are many who have taken our adorable Lord Jesus as Savior, and are thus eternally saved, who yet need to perceive upon what peace with God depends. It does not depend on feelings. Get firm hold of that.
Against whom have we sinned? God.
Can we render anything to Him to atone for our souls? Indeed we cannot.
Yet, as we read, God "can by no means clear the guilty", that is, without satisfaction for sins being rendered, this, His own Son, has done.
He took what we had earned. Praise His precious name!
On believing the glad tidings of forgiveness of sins through Christ (Acts 13:38, 3938Be it known unto you therefore, men and brethren, that through this man is preached unto you the forgiveness of sins: 39And by him all that believe are justified from all things, from which ye could not be justified by the law of Moses. (Acts 13:38‑39)), the believer is not only forgiven, but in Christ is justified, that is, cleared from all things, and, being justified, has peace with God. Remember, for it is important that peace with God is a result.
If, as the hymn says, "God is satisfied with Jesus," I may well add the next line, "I am satisfied as well.”
That is faith in Christ's work, being satisfied, because God is, and the proof of His satisfaction is the resurrection from the dead of the One who "bore the punishment instead" of us on the Cross.