I put together this list of scripture passages from Acts where it refers to people being saved… What I discovered was that very rarely were two alike as they each seem to have unique situations or even things happened in a different order. What this tells me is that you can’t place God or His methods in a box. that God will meet people wherever they are at as He and he alone is the author and finisher of each of our faith. I will let you read these accounts and hope that will help in answering your question.
Acts 2:8 Peter replied, “Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit. 39 The promise is for you and your children and for all who are far off—for all whom the Lord our God will call.” 40 With many other words he warned them; and he pleaded with them, “Save yourselves from this corrupt generation.” 41 Those who accepted his message were baptized, and about three thousand were added to their number that day.
Acts4:3 They seized Peter and John and, because it was evening, they put them in jail until the next day. 4 But many who heard the message believed; so the number of men who believed grew to about five thousand.
This seems to follow Peter’s example…
Acts 8:12 But when they believed Philip as he proclaimed the good news of the kingdom of God and the name of Jesus Christ, they were baptized, both men and women. 13 Simon himself believed and was baptized. And he followed Philip everywhere, astonished by the great signs and miracles he saw.
Acts 8:14 When the apostles in Jerusalem heard that Samaria had accepted the word of God, they sent Peter and John to Samaria. 15 When they arrived, they prayed for the new believers there that they might receive the Holy Spirit, 16 because the Holy Spirit had not yet come on any of them; they had simply been baptized in the name of the Lord Jesus. 17 Then Peter and John placed their hands on them, and they received the Holy Spirit.
34 The eunuch asked Philip, “Tell me, please, who is the prophet talking about, himself or someone else?” 35 Then Philip began with that very passage of Scripture and told him the good news about Jesus.
36 As they traveled along the road, they came to some water and the eunuch said, “Look, here is water. What can stand in the way of my being baptized?”  38 And he gave orders to stop the chariot. Then both Philip and the eunuch went down into the water and Philip baptized him. 39 When they came up out of the water, the Spirit of the Lord suddenly took Philip away, and the eunuch did not see him again, but went on his way rejoicing.
Acts 9:17 Then Ananias went to the house and entered it. Placing his hands on Saul, he said, “Brother Saul, the Lord—Jesus, who appeared to you on the road as you were coming here—has sent me so that you may see again and be filled with the Holy Spirit.” 18 Immediately, something like scales fell from Saul’s eyes, and he could see again. He got up and was baptized, 19 and after taking some food, he regained his strength.
Acts 9:34 “Aeneas,” Peter said to him, “Jesus Christ heals you. Get up and roll up your mat.” Immediately Aeneas got up. 35 All those who lived in Lydda and Sharon saw him and turned to the Lord.
Acts 9:40 Peter sent them all out of the room; then he got down on his knees and prayed. Turning toward the dead woman, he said, “Tabitha, get up.” She opened her eyes, and seeing Peter she sat up. 41 He took her by the hand and helped her to her feet. Then he called for the believers, especially the widows, and presented her to them alive. 42 This became known all over Joppa, and many people believed in the Lord. 43 Peter stayed in Joppa for some time with a tanner named Simon.
Acts 10:42 He commanded us to preach to the people and to testify that he is the one whom God appointed as judge of the living and the dead. 43 All the prophets testify about him that everyone who believes in him receives forgiveness of sins through his name.”
44 While Peter was still speaking these words, the Holy Spirit came on all who heard the message. 45 The circumcised believers who had come with Peter were astonished that the gift of the Holy Spirit had been poured out even on Gentiles. 46 For they heard them speaking in tongues[b] and praising God.
Then Peter said, 47 “Surely no one can stand in the way of their being baptized with water. They have received the Holy Spirit just as we have.” 48 So he ordered that they be baptized in the name of Jesus Christ. Then they asked Peter to stay with them for a few days.
Acts 11:15 “As I began to speak, the Holy Spirit came on them as he had come on us at the beginning. 16 Then I remembered what the Lord had said: ‘John baptized with[a] water, but you will be baptized with the Holy Spirit.’ 17 So if God gave them the same gift he gave us who believed in the Lord Jesus Christ, who was I to think that I could stand in God’s way?”
Acts 11:21 The Lord’s hand was with them, and a great number of people believed and turned to the Lord.
22 News of this reached the church in Jerusalem, and they sent Barnabas to Antioch. 23 When he arrived and saw what the grace of God had done, he was glad and encouraged them all to remain true to the Lord with all their hearts. 24 He was a good man, full of the Holy Spirit and faith, and a great number of people were brought to the Lord.
Acts 13:48 When the Gentiles heard this, they were glad and honored the word of the Lord; and all who were appointed for eternal life believed.
Acts 14:21 They preached the gospel in that city and won a large number of disciples.
Acts 16:13 On the Sabbath we went outside the city gate to the river, where we expected to find a place of prayer. We sat down and began to speak to the women who had gathered there. 14 One of those listening was a woman from the city of Thyatira named Lydia, a dealer in purple cloth. She was a worshiper of God. The Lord opened her heart to respond to Paul’s message. 15 When she and the members of her household were baptized, she invited us to her home. “If you consider me a believer in the Lord,” she said, “come and stay at my house.” And she persuaded us.
Acts 16:29 The jailer called for lights, rushed in and fell trembling before Paul and Silas. 30 He then brought them out and asked, “Sirs, what must I do to be saved?”
31 They replied, “Believe in the Lord Jesus, and you will be saved—you and your household.” 32 Then they spoke the word of the Lord to him and to all the others in his house. 33 At that hour of the night the jailer took them and washed their wounds; then immediately he and all his household were baptized. 34 The jailer brought them into his house and set a meal before them; he was filled with joy because he had come to believe in God—he and his whole household.
35 When it was daylight, the magistrates sent their officers to the jailer with the order: “Release those men.” 36 The jailer told Paul, “The magistrates have ordered that you and Silas be released. Now you can leave. Go in peace.”
Acts 17:34 Some of the people became followers of Paul and believed. Among them was Dionysius, a member of the Areopagus, also a woman named Damaris, and a number of others.
Acts 18:7 Then Paul left the synagogue and went next door to the house of Titius Justus, a worshiper of God. 8 Crispus, the synagogue leader, and his entire household believed in the Lord; and many of the Corinthians who heard Paul believed and were baptized.
Acts 18:24 Meanwhile a Jew named Apollos, a native of Alexandria, came to Ephesus. He was a learned man, with a thorough knowledge of the Scriptures. 25 He had been instructed in the way of the Lord, and he spoke with great fervor[a] and taught about Jesus accurately, though he knew only the baptism of John. 26 He began to speak boldly in the synagogue. When Priscilla and Aquila heard him, they invited him to their home and explained to him the way of God more adequately.
Acts 19:There he found some disciples 2 and asked them, “Did you receive the Holy Spirit when you believed?”
They answered, “No, we have not even heard that there is a Holy Spirit.”
3 So Paul asked, “Then what baptism did you receive?”
“John’s baptism,” they replied.
4 Paul said, “John’s baptism was a baptism of repentance. He told the people to believe in the one coming after him, that is, in Jesus.” 5 On hearing this, they were baptized in the name of the Lord Jesus. 6 When Paul placed his hands on them, the Holy Spirit came on them, and they spoke in tongues[b] and prophesied. 7 There were about twelve men in all.
Acts 22:12 “A man named Ananias came to see me. He was a devout observer of the law and highly respected by all the Jews living there. 13 He stood beside me and said, ‘Brother Saul, receive your sight!’ And at that very moment I was able to see him.
14 “Then he said: ‘The God of our ancestors has chosen you to know his will and to see the Righteous One and to hear words from his mouth. 15 You will be his witness to all people of what you have seen and heard. 16 And now what are you waiting for? Get up, be baptized and wash your sins away, calling on his name.’