surprising greatly; "she does an amazing amount of work"; "the dog was capable of astonishing tricks
inspiring awe or admiration or wonder; "New York is an amazing city"; "the Grand Canyon is an awe-inspiring sight"; "the awesome complexity of the universe"; "this sea, whose gently awful stirrings seem to speak of some hidden soul beneath"- Melville; "Westminster Hall's awing majesty, so vast, so high, so silent"
You say that something is amazing when it is very surprising and makes you feel pleasure, approval, or wonder. It's amazing what we can remember with a little prompting = astonishing + amazingly amaz·ing·ly She was an amazingly good cook