The Implied Conversions in Judea, Galilee and Samaria

Jesus had said the Gospel would spread from Jerusalem throughout Judea and Samaria, then to the rest of the world (Acts 1:8). In Acts 9:31 Luke sets the stage for the preaching of the Gospel to the Gentiles by necessarily implying the Gospel had been succesfully preached in these first regions. What was involved in these conversions? What may we learn that will help us convert the world to Christ?