To go their own way means that God permitted them “to go as they pleased,” without a specific revelation of his will for them in Jesus Christ. Paul’s point here, as in 17.30, is that men had been ignorant of the truth about the living God in times past, and God had overlooked their idolatry because of this ignorance, but now that now that the truth had been proclaimed they were obliged to turn from their idols to the living God.
The idiom to go their own way is useful in English but may be quite misleading in another language, since it may be refer only to actual movement from one place to another. A more equivalent expression in some languages is “to do as they themselves thought best,” “to determine themselves what was right,” or “to worship as they thought it was best to worship.”
Quoted with permission from Newman, Barclay M. and Nida, Eugene A. A Handbook on The Acts of the Apostles. (UBS Handbook Series). New York: UBS, 1972. For this and other handbooks for translators see here .
