It's much higher in about five specific counties in the US. The vast majority of the US has less violent crime overall (guns, plus everything else) than most large cities in Europe. For a simple example in Berlin you get pepper sprayed by stick-up kids, whereas in the US mountain west there isn't much mugging at all (due to the fact that a mugger is about 50/50 to get a wallet or a bullet in response).

The mistake is to think of the US as uniform. Most of it is extremely peaceful.