90 Grk “Opening his mouth Peter said” (a Semitic idiom for beginning to speak in a somewhat formal manner). The participle ἀνοίξας (anoixas) has been translated as a finite verb due to requirements of contemporary English style.
91 Grk “God is not one who is a respecter of persons,” that is, “God is not one to show partiality” (cf. προσωπολήμπτης). L&N 88.239 translates this verse “I realize that God does not show favoritism (in dealing with people).” The underlying Hebrew idiom includes the personal element (“respecter of persons”) so the phrase “in dealing with people” is included in the present translation. It fits very well with the following context and serves to emphasize the relational component of God’s lack of partiality. The latter is a major theme in the NT: Rom 2:11; Eph 2:11–22; Col 3:25; Jas 2:1; 1 Pet 1:17. This was the lesson of Peter’s vision.

In other versions

So Peter opened his mouth and said: “Truly I understand that God shows no partiality,

Then Peter began to speak: “I now realize how true it is that God does not show favoritism

Peter began to speak: “Now I truly understand that God doesn’t show favoritism,

Then Peter replied, “I see very clearly that God shows no favoritism.

So Peter opened his mouth and said, “In truth I understand that God is not one who shows partiality,

Then Peter opened his mouth, and said, Of a truth I perceive that God is no respecter of persons:

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