How do we know that grace brings salvation?

According to Titus 2:11, 'For the grace of God that brings salvation has appeared to all men.' This assertion highlights that God's grace is accessible to all, revealing His character as a Savior who seeks to redeem mankind from sin. The effects of this grace are not only forgiveness but also teaching us to deny ungodliness and live righteously. Moreover, throughout scripture, we see examples like Samson, whose imperfect life nonetheless showcases God's sovereign grace in using unworthy vessels for His glory, reflecting the truth that salvation is entirely by grace. We observe throughout the narrative of scripture that grace does not leave us unchanged; instead, it transforms us to live in accordance with God's will.