The U.S. Justice Department has reported that 85% of all inter-racial violence in America is committed by blacks against whites Here is the deal. If a black commits a crime by pulling a name out of a hat, he will pick a white person 7 out of 10 times. If a white commits a crime by pulling a name out of a hat, he will pick a black person 1 out of 6 times. Bottom line is if blacks commit about 50% of all crimes in the US (which is actually correct) then by random chance, blacks will commit about 82% of all interracial crimes.Your analysis would then indicate that most black crime is committed against whites, which is incorrect. Ive read as much as 90% of black crime is black on black. I assume that figure holds for violent crime as well.
I think the Justice Dept figure is referring only to that subset of overall violent crime, inter-racial. That said, there could be factors other that race acting as motivators. Its unclear to me just what inter-racial violence involves. If it includes things like muggings or burglary, economic factors could play a big part.
I've seen statistics showing that the black overrepresentation is particularly great for people committing interracial rape, hardly what one thinks of as an economic crime.