'Understood' in the Bible

as you have partially understood us—that we are your reason for pride, as you are ours, in the day of our Lord Jesus.

Therefore, since we know the fear of the Lord [and understand the importance of obedience and worship], we persuade people [to be reconciled to Him]. But we are plainly known to God [He knows everything about us]; and I hope that we are plainly known also in your consciences [your God-given discernment].