Do armor damage and body damage overlap in the post-death stat screen? [New Player]

So after my last raid I've been wondering that. First dude I saw, started shooting him, clearly hitting chest, he starts shooting me, I die. In the stat screen - 169 damage to body, 103 damage to armor. Do these overlap? If not, what could be the reason the dude didn't drop dead after 169 damage to chest?