This looks like a pretty severe scratch. It is very possible you can't fix that entirely by removing the paint over your black paint: some metal could be bent.
I once scratched another car with my rear right door, while trying to fit my car to a small parking space at the side of a street. The point of my car that touched the rear bumper of the other car was the rubber protector strip. Some black rubber was transferred over the paint on the bumper of the other car.
Guess what? That was not the only damage. I thought that because I hit a location that was plastic (bumper) and it was not cracked, fully knowing that plastic can't bend1, that it would be impossible there is some deeper damage. I was wrong. Later it was found that some metal behind the plastic in the other car was bent.
So, my advice would be to have the damage professionally inspected. It may be the case that some metal is bent.
Unfortunately, you may not be able to get this paid by the insurance, because you don't know who did this. It's a pretty large crime to cause that much damage and leave without leaving contact details, but unfortunately people do that all the time.
(1): Or actually, plastic can't bend freely like metal in infinitesimal amounts: it restores to its original shape. If you hit it hard enough, it may take an entirely different shape.