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May I add the previous verses also, since they contain the sermon Peter preached and thus can be seen as it differs from what Paul said he preached and same in what they both preached ... both paths contain the most important part, that one believe on Him Whom God has sent, just as Jesus told the scribes and Pharisees when they asked Him what they must do as the work God desires:

Acts 10:30-43
And Cornelius said, Four days ago I was fasting until this hour; and at the ninth hour I prayed in my house, and, behold, a man stood before me in bright clothing, And said, Cornelius, thy prayer is heard, and thine alms are had in remembrance in the sight of God. Send therefore to Joppa, and call hither Simon, whose surname is Peter; he is lodged in the house of one Simon a tanner by the sea side: who, when he cometh, shall speak unto thee.
Immediately therefore I sent to thee; and thou hast well done that thou art come. Now therefore are we all here present before God, to hear all things that are commanded thee of God.
Then Peter opened his mouth, and said, Of a truth I perceive that God is no respecter of persons: But in every nation he that fear
eth him, and worketh righteousness, is accepted with him. The word which God sent unto the children of Israel, preaching peace by Jesus Christ: (he is Lord of all:) That word, I say, ye know, which was published throughout all Judaea, and began from Galilee, after the baptism which John preached; How God anointed Jesus of Nazareth with the Holy Ghost and with power: who went about doing good, and healing all that were oppressed of the devil; for God was with him.
And we are witnesses of all things which he did both in the land of the Jews, and in Jerusalem; whom they slew and hanged on a tree: Him God raised up the third day, and shewed him openly; Not to all the people, but unto witnesses chosen before God, even to us, who did eat and drink with him after he rose from the dead.
And he commanded us to preach unto the people, and to testify that it is he which was ordained of God to be the Judge of quick and dead. To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins.

When the Scribes ask Jesus what they must do as the work God commands for Salvation and when Peter answered the call to evangelize, the message is the same, to believe on Him Whom God has sent, The Christ, the Lamb Slain from the foundation of the world, the Lord from Heaven, God with us ... so, where is the lengthy list of doctrinologies from Catholic and Protestant traditions? None present int he House of Cornelius that I can find. None stacked next to Jesus when He answered the Scribes and Pharisees. So where is boasting?

To Saul as Paul was given the fullness of the Gospel, the eschatological and hermeneutic and ekklesiology. To Peter was given the keys to open the Church Age ... where is boasting?