Was getting into my car this morning and had my hand on the edge of the door as it swung out and bumped the car next to me. I felt my hand make contact with the car but not the door itself. I looked to see if there was visible damage but the car was really dusty and I didn't see anything (it was a black car). There was a lady in the car and she didn't move or say anything.

I got into my car and left. Upon getting home I found some black paint on the edge of my car's door so I'm assuming there is some damage to the other car. I'm at this place often so will most likely see this car again, although I do not know the person. Should I approach them if/when I see them? I have no issues paying for the damage, I genuinely didn't think there was any at the time but apparently I'm wrong. What would you all do?