How do we know that God's justice is satisfied through Christ?

In Isaiah 53:10-11, we see the profound truth that it pleased the Lord to bruise His Son, signifying that God's justice was not disregarded but fulfilled through Christ's suffering. This satisfaction does not imply God took joy in Christ's pain, but rather that through Christ's sacrificial death, the debt owed for sin was fully paid. This is a testament to God’s commitment to justice and righteousness while also extending grace and mercy to His elect. Consequently, believers can have certainty in their justification, knowing it is grounded in Christ’s righteousness and not their own works or merits.