API GetHitModifier

Returns the amount of Melee Hit %, not from Melee Hit Rating, that your character has.

hitModifier = GetHitModifier

Returns

 * hitModifier : Number - hit modifier (e.g. 16 for 16%)

Example
/dump GetCombatRatingBonus(CR_HIT_MELEE) + GetHitModifier;

and returns the Melee Hit Chance displayed in the paper doll.