I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) At the house of some friends... ...she met a man about whom she'd heard her whole life. A very great and courageous man. He opened up for her a beautiful world full of knowledge, thoughts and ideals. Everything she knew or ever became was because of him. She looked up to him and worshiped him... (..)1942 Casablanca