It may be important to know when our impressions of someone differ from how that person sees him/herself and how others see that same person. We investigated whether people are aware of how their friends see themselves (knowledge of identity) and are seen by others (knowledge of reputation). Previous research indicates that, for physical attractiveness, romantic partners do have such knowledge of others' perceptions, but it is unknown whether people in platonic relationships also detect such discrepancies between their own perceptions and others'. We examined this phenomenon for a new set of characteristics: the Big Five personality traits. Our primary research questions pertained to identity accuracy and reputation accuracy (i. e., knowledge of a target's self-views and how others view the target, respectively) and identity insight and reputation insight (i. e., identity accuracy and reputation accuracy that cannot be accounted for by a potential artifact: perceivers assuming that others share their own views of targets). However, after a series of preliminary tests, we did not examine reputation insight, as several necessary conditions were not met, indicating that any effects would likely be spurious. We did find that perceivers can accurately infer a target's identity and reputation on global personality traits (identity and reputation accuracy), and that perceivers can sometimes accurately distinguish between their own perceptions of targets and targets' self-views, but not others' views of targets (i. e., identity, but not reputation, insight). Finally, we explored boundary conditions for knowledge of others' perceptions and whether knowledge of identity is correlated with knowledge of reputation.