'Based' in the Bible

What shall we say then? That Gentiles, who did not pursue righteousness [who did not seek salvation and a right relationship with God, nevertheless] obtained righteousness, that is, the righteousness which is produced by faith;

For Moses writes that the man who practices the righteousness which is based on law [with all its intricate demands] shall live by it.

But the righteousness based on faith [which produces a right relationship with Him] says the following: “Do not say in your heart, ‘Who will ascend into Heaven?’ that is, to bring Christ down;

For the kingdom of God is not based on talk but on power.

and may be found in Him [believing and relying on Him], not having any righteousness of my own derived from [my obedience to] the Law and its rituals, but [possessing] that [genuine righteousness] which comes through faith in Christ, the righteousness which comes from God on the basis of faith.