Although Atticus lost the trial how do scout's actions show he succeeded?

The premise to my answer will be the assumption that Scout's actions are an indication of Atticus's success as a parent. Others will (and should) argue that Scout's actions are independent of those of Atticus.

However, at the end of the novel, Scout befriends Boo Radley. Boo is someone who was mistreated (like Tom Robinson) but about whom Scout kept an open mind. When Scout stands on the Radley's front porch and looks at the world from a different perspective, it can be argued that she is putting into practice her father's wisdom. As this is a commendable action by Scout, the argument stands that Atticus succeeded in demonstrating values of openness and justice to his children.