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In previous Diablo games and in many other ARPGs, to/hit is a stat that determines the chances of a attack landing on a monster or a player. Diablo 2 called this stat "Attack Rating" and it was determined by a combination of numerous factors including Dexterity, character level, monster level, item bonuses, skill bonuses, defense, and more.
The Diablo 3 system seems more "logical" to most fans, since the way that very high armor means not getting hit at all seems silly in some games. In Diablo 2 for instance, a high level character with heavy armor could stand motionless in the midst of a dozen low level enemies and only be hit by 5% of their attacks. A character can do the same in Diablo III and not take enough damage to matter (since high defense = damage mitigation), but at least the low level enemies aren't endlessly swinging at a stationary object and hitting nothing.