The standard of justice administered by God is precisely measured by the statement "he shall reward every man according to his works." That demands each person receives penal consequences that is precisely equivalent to the totality of their own works or what they actually deserve by this just standard. In other words, the degree of punishment must differ with each individual or else the phrase "according to his works" is rendered meaningless. The only possible way the atonement of Christ could satisfy such precise judicial equivalency for the totality of all that will be saved is that his sufferings are regarded infinite in judicial value.
Therefore, this phrase proves that the Father had a judicial standard that must be administered and must be satisfied, or else justice would not be served. Isaiah clearly states that what Christ suffered is viewed by God as an "offering for sin" and therefore the penal sufferings of Christ FOR OUR SINS (not for his) satisfied the Father, meaning he satisfied the penal standard against sin.
10 ¶ Yet it pleased the LORD to bruise him; he has put him to grief: when you shall make his soul an offering for sin, he shall see his seed, he shall prolong his days, and the pleasure of the LORD shall prosper in his hand.
11 He shall see of the travail of his soul, and shall be satisfied:
Significantly in both verses above it is his "soul" that is made "an offering for sin" and it is the "travail of his soul" which provides the satisfaction of the Father with regard to OUR SINS.