How does Christ's righteousness apply to believers?

Christ's righteousness is core to the believer's status before God, as it is through His perfect obedience and sacrificial death that we are made righteous. Philippians 3:9 states that believers are found in Christ, not having their own righteousness, but that which comes through faith in Him. This imputed righteousness means that when believers place their trust in Christ, they are clothed in His righteousness, making them faultless and accepted by God. This is essential since only perfect righteousness can justify a sinner before the Holy God, ensuring their standing is not based on personal merit but solely on the grace received through faith in Christ.