Maximum melee hit

Maximum melee hit is the maximum damage a player can deal in a melee combat. It is affected by player's strength, equipment and other bonuses such as prayer or potions.

Calculating your maximum melee hit
Note: The trunc (truncate) function is used throughout the formula - this simply means ignore any decimal places of the number being truncated.

Step one: Calculate the effective strength
$$Effective\ Strength=trunc((Strength\ Level+PotionBonus)\times Prayer\ Bonus\times Other\ Bonus)+Style\ Bonus$$

See the following table for the various bonuses values:

Remember that if you use the Dragon battleaxe special attack you cannot use another special attack right after unless the recover special attack potion is used or a person casts share energy upon you. Also note that the dragon battleaxe special attack raises your strength depending on the other levels

Step two: Calculate the base damage
$$Base\ Damage=1.3+\frac{Effective\ Strength}{10}+\frac{Strength\ Bonus}{80}+\frac{Effective\ Strength\times Strength\ Bonus}{640}$$

If you are not using a special attack or effect:

$$Max\ Hit=trunc(Base\ Damage)$$

Otherwise, continue to step three.

Step three: Calculate the bonus damage
$$Max\ Hit=floor(Base\ Damage\times Special\ Bonus)$$

The following special attack/effect bonuses apply:

The Keris's maximum hits (against kalphites or scarabites) is as follows:
 * Special cases

$$Max\ Hit_{Keris,\ normal}=floor(Base\ Damage\times 1.25)$$

$$Max\ Hit_{Keris,\ critical}=floor(Base\ Damage)\times 3$$

This results in the maximum possible hit (outside of certain parts of quests) of 117 - using Keris, a player with 99 strength can hit up to 117 on assigned Kalphites, using the best strength equipment, the Piety prayer, a black mask, and drinking a super strength potion.

The Saradomin sword's special attack hit up to an extra 15 magic-based damage:

$$Max\ Hit_{Saradomin\ sword}=floor(Base\ Damage)+15$$

During quests/minigames
In the Dungeon of Tolna during A Soul's Bane quest, players could hit up to 200 on monsters in the rage room, however that damage is simply a player's normal damage times twenty, and doesn't give any experience.

In the barbarian assault minigame you can hit a possible of your max hit +5 if your attacker level is 5 on the penance rangers and fighters.