Damage per second/Melee

See also: OSRS Wiki DPS calculator

This article is about calculating melee damage output. Melee damage is affected by the Equipment used, prayer, skill boosts and the monster being attacked.

There are various methods by which players can increase their potential Melee damage. The effects of most equipped items can be seen in the stats window (labelled as Stab, Slash, Crush and Melee Strength).

Calculating your melee damage output

Step one: Calculate the effective strength level

Effective level is affected by your current strength level multiplied by prayers used and skill level boosts.

To calculate effective strength level:

1. (Strength level + Strength level boost) * prayer modifier
2. Round down to nearest integer
3. If you're calculating for:
   • A player, +3 if they're using the aggressive attack style, or +1 if using controlled
   • An NPC, +1
4. +8
5. Multiply by 1.1 if wearing full melee void
6. Round down to nearest integer

Strength Level boost:

Main article: Temporary skill boost

Boost		Level increase	Visibility	Other info
	Strength cape	1	Visible	Activating the cape's effect will increase the corresponding skill by 1.
	Jangerberries	1	Visible	Attack 2 Defence - 1 Prayer 1
	Beer	0-3	Visible	Hitpoints 1 Attack -4 Strength 1 + floor(StaticLevel * 0.02)
	Brandy	1-5	Visible	Hitpoints 5 Attack - floor(Currentlevel * 0.02) - 3 Strength 1 + floor(StaticLevel * 0.05)
	Sun-shine	1-5	Visible	Hitpoints 5 Attack - floor(Currentlevel * 0.06) - 1 Strength 1 + floor(StaticLevel * 0.05)
	Moon-lite	1-5	Visible	Hitpoints 5 Attack - floor(Currentlevel * 0.05) - 1 Strength 1 + floor(StaticLevel * 0.05)
	Sunbeam ale	1	Visible	Hitpoints 1 Attack - floor(Currentlevel * 0.05) - 1 Strength 1 Agility 1
	Kebab	1-3	Visible	4% chance to do so. Available to free-to-play players. See kebab for details.
	Braindeath 'rum'	3	Visible	Mining 1 Attack - floor(Currentlevel * 0.06) - 1 Defence - floor(Currentlevel * 0.8) - 2 Ranged - floor(Currentlevel * 0.06) - 1 Magic - floor(Currentlevel * 0.05) - 1 Prayer - floor(StaticLevel * 0.06) - 1 Agility - floor(Currentlevel * 0.09) - 3 Herblore - floor(Currentlevel * 0.06) - 1
	Poison chalice	1, 4	Visible	Has a variety of beneficial and disastrous effects. See poison chalice for details.
	Spicy stew (red spice)	±0-5	Visible	Hitpoints 11 Depending on type of stew, any skill except Hitpoints can be boosted or reduced by 0 to 5 levels randomly.
	Short green guy/ Premade sgg	1-5	Visible	Hitpoints 5 Attack - floor(CurrentLevel * 0.02) - 3 Strength 1 + floor(StaticLevel * 0.05)
	Grog	1-5	Visible	Attack - floor(Currentlevel * 0.05) - 3 Strength 1 + floor(StaticLevel * 0.04)
	Karamjan rum	1-5	Visible	Attack - (CurrentLevel * 0.02) - 3 Hitpoints +5 Strength 1 + floor(StaticLevel * 0.05)
	Blood pint	2-5	Visible	Attack 2 + floor(StaticLevel * 0.04) Strength 2 + floor(StaticLevel * 0.04) Magic - floor(CurrentLevel * 0.04) - 2 Prayer - floor(CurrentLevel * 0.04) - 2
	Wizard blizzard/ Premade wiz blz'd	1-6	Visible	Hitpoints 5 Attack - floor(CurrentLevel * 0.02) - 3 Strength 1 + floor(StaticLevel * 0.06)
	Blurberry special/ Premade blurb' sp.	1-6	Visible	Hitpoints 7 Attack - floor(CurrentLevel * 0.02) - 3 Strength 2 + floor(StaticLevel * 0.05)
	Drunk dragon/ Premade dr' dragon	1-6	Visible	Hitpoints 5 Attack - floor(CurrentLevel * 0.02) - 3 Strength 2 + floor(StaticLevel * 0.05)
	Keg of beer	2-11	Visible	Hitpoints 15 Attack - floor(CurrentLevel * 0.5) - 4 Strength 2 + floor(StaticLevel * 0.1)
File:Strength potion.png	Strength potion	3-12	Visible	Strength 3 + floor(StaticLevel * 0.1)
File:Strength mix.png	Strength mix	3-12	Visible	Hitpoints 3 per dose. Strength 3 + floor(StaticLevel * 0.1) Requires Barbarian training.
File:Combat potion.png	Combat potion	3-12	Visible	Attack 3 + floor(StaticLevel * 0.1) Strength 3 + floor(StaticLevel * 0.1) Provides the boosts of a normal attack and strength potion in one potion.
File:Combat mix.png	Combat mix	3-12	Visible	Hitpoints 6 per dose. Attack 3 + floor(StaticLevel * 0.1) Strength 3 + floor(StaticLevel * 0.1) Provides the boosts of a normal attack and strength potion in one potion.
File:Zamorak brew.png	Zamorak brew	2-13	Visible	Hitpoints - floor(StaticLevel * 0.12) Attack 2 + floor(StaticLevel * 0.2) Defence - floor(CurrentLevel * 0.1) - 2 Strength 2 + floor(StaticLevel * 0.12) Prayer floor(StaticLevel * 0.1)
File:Elder (-).png	Elder (-)	4-13	Visible	Attack 4 + floor(StaticLevel * 0.1) Defence 4 + floor(StaticLevel * 0.1) Strength 4 + floor(StaticLevel * 0.1) Only usable within the Chambers of Xeric.
File:Overload (-).png	Overload (-)	4-13	Visible	Acts as an elder (-), twisted (-), and kodai (-) potion in one dose. Hitpoints - 50 Attack 4 + floor(StaticLevel * 0.1) Defence 4 + floor(StaticLevel * 0.1) Strength 4 + floor(StaticLevel * 0.1) Ranged 4 + floor(StaticLevel * 0.1) Magic 4 + floor(StaticLevel * 0.1) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
File:Elder potion.png	Elder potion	5-17	Visible	Attack 5 + floor(StaticLevel * 0.13) Defence 5 + floor(StaticLevel * 0.13) Strength 5 + floor(StaticLevel * 0.13) Only usable within the Chambers of Xeric.
File:Overload (Chambers of Xeric).png	Overload (Chambers of Xeric)	5-17	Visible	Acts as an elder, twisted, and kodai potion in one dose. Hitpoints - 50 Attack 5 + floor(StaticLevel * 0.13) Defence 5 + floor(StaticLevel * 0.13) Strength 5 + floor(StaticLevel * 0.13) Ranged 5 + floor(StaticLevel * 0.13) Magic 5 + floor(StaticLevel * 0.13) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
	Black warlock (item)	4-18	Visible	Strength 4 + floor(StaticLevel * 0.15) Can be used on another player. Boost affects the player it is used on. Acquired from the Hunter skill.
File:Black warlock mix.png	Black warlock mix	4-18	Visible	Strength 4 + floor(StaticLevel * 0.15) Also affects up to three players adjacent to the user, if used in a multicombat area. Acquired from the Hunter skill.
	Bandages (Theatre of Blood)	4-18	Visible	Hitpoints 20 Attack 4 + floor(StaticLevel * 0.15) Defence 4 + floor(StaticLevel * 0.15) Strength 4 + floor(StaticLevel * 0.15) Ranged 4 + floor(StaticLevel * 0.1) Magic 4
File:Moonlight potion.png	Moonlight potion	3-19	Visible	Attack 3 + floor(StaticLevel * 0.1) if 3-44 Herblore Attack 5 + floor(StaticLevel * 0.15) if 45+ Herblore Defence 3 + floor(StaticLevel * 0.1) if 30-65 Herblore Defence 5 + floor(StaticLevel * 0.15) if 66-69 Herblore Defence 7 + floor(StaticLevel * 0.2) if 70+ Herblore Strength 3 + floor(StaticLevel * 0.1) if 12-54 Herblore Strength 5 + floor(StaticLevel * 0.15) if 55+ Herblore Prayer 7 + floor(max(StaticLevel * 0.25, HerbloreLevel * 0.3)) Stat draining for Defence is disabled for 5 minutes if Herblore is 70 or higher. Only usable in Neypotzli.
File:Super strength.png	Super strength	5-19	Visible	Strength 5 + floor(StaticLevel * 0.15)
File:Super str. mix.png	Super str. mix	5-19	Visible	Hitpoints 6 per dose. Strength 5 + floor(StaticLevel * 0.15) Requires Barbarian training.
File:Divine super strength potion.png	Divine super strength potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Stat draining for Strength is disabled for 5 minutes, meaning the player's Strength level will stay fully boosted. After the 5 minutes are over, Strength level will be restored to its base level.
File:Super combat potion.png	Super combat potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15)
File:Divine super combat potion.png	Divine super combat potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15) Stat draining for melee combat stats is disabled for 5 minutes, meaning the player's melee combat stats will stay fully boosted. After the 5 minutes are over, melee combat stats will be restored to their base level.
File:Overload (Nightmare Zone).png	Overload (Nightmare Zone)	5-19	Visible	Acts as a super combat, super ranging, and super magic potion in one dose. Hitpoints - 50 Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15) Ranged 5 + floor(StaticLevel * 0.15) Magic 5 + floor(StaticLevel * 0.15) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Nightmare Zone.
File:Elder (+).png	Elder (+)	6-21	Visible	Attack 6 + floor(StaticLevel * 0.16) Defence 6 + floor(StaticLevel * 0.16) Strength 6 + floor(StaticLevel * 0.16) Only usable within the Chambers of Xeric.
File:Overload (+).png	Overload (+)	6-21	Visible	Acts as an elder (+), twisted (+), and kodai (+) potion in one dose. Hitpoints - 50 Attack 6 + floor(StaticLevel * 0.16) Defence 6 + floor(StaticLevel * 0.16) Strength 6 + floor(StaticLevel * 0.16) Ranged 6 + floor(StaticLevel * 0.16) Magic 6 + floor(StaticLevel * 0.16) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
	Dragon battleaxe	10-21	Visible	Attack - floor(CurrentLevel * 0.1) Defence - floor(CurrentLevel * 0.1) Ranged - floor(CurrentLevel * 0.1) Magic - floor(CurrentLevel * 0.1) Strength 10 + floor(LevelsDrained * 0.25) See dragon battleaxe for details.
	Smelling salts	11-26	Visible	Attack 11 + floor(StaticLevel * 0.16) Defence 11 + floor(StaticLevel * 0.16) Strength 11 + floor(StaticLevel * 0.16) Ranged 11 + floor(StaticLevel * 0.16) Magic 11 + floor(StaticLevel * 0.16) Restores run energy by 25%. The boost is reapplied every 15 seconds for 8 minutes. Only usable within the Tombs of Amascut.

Prayer Multiplier:

Prayer
Burst of Strength	1.05
Superhuman Strength	1.10
Ultimate Strength	1.15
Chivalry	1.18
Piety	1.23

Step two: Calculate the maximum hit

The maximum hit is the largest hit you can possibly do with the current setup. It can be tested by using the Combat Dummy in a Player Owned House.

To calculate your maximum hit:

1. Effective strength level
2. Multiply by (Equipment Strength bonus + 64)
3. Add 320
4. Divide by 640
5. Round down to nearest integer
6. Multiply by target-specific gear bonus
7. Round down to nearest integer

The Equipment Strength bonus can be found in the Equipment Stats window under 'Other bonuses'.

If slaying monsters on task while wearing a black mask or slayer helm, gear bonus is 7/6.

If killing undead monsters while wearing a salve amulet, gear bonus is 7/6, or 1.2 if using salve amulet (e) or (ei).

Note that these two bonuses DO NOT stack.

If attacking another player who has the Protect from Melee prayer active, multiply by 6/10.

Step three: Calculate the effective attack level

Effective level is affected by your current attack level multiplied by prayers used and skill level boosts.

To calculate your effective attack level:

1. (Attack level + Attack level boost) * prayer bonus
2. Round down to nearest integer
3. If you're calculating for:
   • A player, +3 if they're using the accurate attack style, or +1 if using controlled
   • An NPC, +1
4. +8
5. Multiply by 1.1 if wearing void
6. Round down to nearest integer

Attack Level boost:

Main article: Temporary skill boost

Boost		Level increase	Visibility	Other info
	Attack cape	1	Visible	Activating the cape's effect will increase the corresponding skill by 1.
	Bandit's brew	1	Visible	Hitpoints 1 Defence - floor(CurrentLevel * 0.06) - 3 Strength - floor(CurrentLevel * 0.06) - 3 Thieving 1
	Cup of tea	2	Visible	Hitpoints 3 Up to 5 doses can be stored in a tea flask.
	Jangerberries	2	Visible	Defence - 1 Strength 1 Prayer 1
	Kebab	1-3	Visible	4% chance to do so. Available to free-to-play players. See kebab for details.
	Poison chalice	1, 4	Visible	Has a variety of beneficial and disastrous effects. See poison chalice for details.
	Spicy stew (red spice)	±0-5	Visible	Hitpoints 11 Depending on type of stew, any skill except Hitpoints can be boosted or reduced by 0 to 5 levels randomly.
	Blood pint	2-5	Visible	Attack 2 + floor(StaticLevel * 0.04) Strength 2 + floor(StaticLevel * 0.04) Magic - floor(CurrentLevel * 0.04) - 2 Prayer - floor(CurrentLevel * 0.04) - 2
File:Attack potion.png	Attack potion	3-12	Visible	Attack 3 + floor(StaticLevel * 0.1)
File:Attack mix.png	Attack mix	3-12	Visible	Hitpoints 3 per dose. Attack 3 + floor(StaticLevel * 0.1) Requires Barbarian training.
File:Combat potion.png	Combat potion	3-12	Visible	Attack 3 + floor(StaticLevel * 0.1) Strength 3 + floor(StaticLevel * 0.1) Provides the boosts of a normal attack and strength potion in one potion.
File:Combat mix.png	Combat mix	3-12	Visible	Hitpoints 6 per dose. Attack 3 + floor(StaticLevel * 0.1) Strength 3 + floor(StaticLevel * 0.1) Provides the boosts of a normal attack and strength potion in one potion.
File:Elder (-).png	Elder (-)	4-13	Visible	Attack 4 + floor(StaticLevel * 0.1) Defence 4 + floor(StaticLevel * 0.1) Strength 4 + floor(StaticLevel * 0.1) Only usable within the Chambers of Xeric.
File:Overload (-).png	Overload (-)	4-13	Visible	Acts as an elder (-), twisted (-), and kodai (-) potion in one dose. Hitpoints - 50 Attack 4 + floor(StaticLevel * 0.1) Defence 4 + floor(StaticLevel * 0.1) Strength 4 + floor(StaticLevel * 0.1) Ranged 4 + floor(StaticLevel * 0.1) Magic 4 + floor(StaticLevel * 0.1) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
File:Elder potion.png	Elder potion	5-17	Visible	Attack 5 + floor(StaticLevel * 0.13) Defence 5 + floor(StaticLevel * 0.13) Strength 5 + floor(StaticLevel * 0.13) Only usable within the Chambers of Xeric.
File:Overload (Chambers of Xeric).png	Overload (Chambers of Xeric)	5-17	Visible	Acts as an elder, twisted, and kodai potion in one dose. Hitpoints - 50 Attack 5 + floor(StaticLevel * 0.13) Defence 5 + floor(StaticLevel * 0.13) Strength 5 + floor(StaticLevel * 0.13) Ranged 5 + floor(StaticLevel * 0.13) Magic 5 + floor(StaticLevel * 0.13) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
	Ruby harvest (item)	4-18	Visible	Attack 4 + floor(StaticLevel * 0.15) Can be used on another player. Boost affects the player it is used on. Acquired from the Hunter skill.
File:Ruby harvest mix.png	Ruby harvest mix	4-18	Visible	Attack 4 + floor(StaticLevel * 0.15) Also affects up to three players adjacent to the user, if used in a multicombat area. Acquired from the Hunter skill.
	Bandages (Theatre of Blood)	4-18	Visible	Hitpoints 20 Attack 4 + floor(StaticLevel * 0.15) Defence 4 + floor(StaticLevel * 0.15) Strength 4 + floor(StaticLevel * 0.15) Ranged 4 + floor(StaticLevel * 0.1) Magic 4
File:Moonlight potion.png	Moonlight potion	3-19	Visible	Attack 3 + floor(StaticLevel * 0.1) if 3-44 Herblore Attack 5 + floor(StaticLevel * 0.15) if 45+ Herblore Defence 3 + floor(StaticLevel * 0.1) if 30-65 Herblore Defence 5 + floor(StaticLevel * 0.15) if 66-69 Herblore Defence 7 + floor(StaticLevel * 0.2) if 70+ Herblore Strength 3 + floor(StaticLevel * 0.1) if 12-54 Herblore Strength 5 + floor(StaticLevel * 0.15) if 55+ Herblore Prayer 7 + floor(max(StaticLevel * 0.25, HerbloreLevel * 0.3)) Stat draining for Defence is disabled for 5 minutes if Herblore is 70 or higher. Only usable in Neypotzli.
File:Super attack.png	Super attack	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15)
File:Superattack mix.png	Superattack mix	5-19	Visible	Hitpoints 6 per dose. Attack 5 + floor(StaticLevel * 0.15) Requires Barbarian training.
File:Divine super attack potion.png	Divine super attack potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Stat draining for Attack is disabled for 5 minutes, meaning the player's Attack level will stay fully boosted. After the 5 minutes are over, Attack level will be restored to its base level.
File:Super combat potion.png	Super combat potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15)
File:Divine super combat potion.png	Divine super combat potion	5-19	Visible	Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15) Stat draining for melee combat stats is disabled for 5 minutes, meaning the player's melee combat stats will stay fully boosted. After the 5 minutes are over, melee combat stats will be restored to their base level.
File:Overload (Nightmare Zone).png	Overload (Nightmare Zone)	5-19	Visible	Acts as a super combat, super ranging, and super magic potion in one dose. Hitpoints - 50 Attack 5 + floor(StaticLevel * 0.15) Defence 5 + floor(StaticLevel * 0.15) Strength 5 + floor(StaticLevel * 0.15) Ranged 5 + floor(StaticLevel * 0.15) Magic 5 + floor(StaticLevel * 0.15) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Nightmare Zone.
File:Zamorak brew.png	Zamorak brew	2-21	Visible	Hitpoints - floor(StaticLevel * 0.12) Attack 2 + floor(StaticLevel * 0.2) Defence - floor(CurrentLevel * 0.1) - 2 Strength 2 + floor(StaticLevel * 0.12) Prayer floor(StaticLevel * 0.1)
File:Elder (+).png	Elder (+)	6-21	Visible	Attack 6 + floor(StaticLevel * 0.16) Defence 6 + floor(StaticLevel * 0.16) Strength 6 + floor(StaticLevel * 0.16) Only usable within the Chambers of Xeric.
File:Overload (+).png	Overload (+)	6-21	Visible	Acts as an elder (+), twisted (+), and kodai (+) potion in one dose. Hitpoints - 50 Attack 6 + floor(StaticLevel * 0.16) Defence 6 + floor(StaticLevel * 0.16) Strength 6 + floor(StaticLevel * 0.16) Ranged 6 + floor(StaticLevel * 0.16) Magic 6 + floor(StaticLevel * 0.16) The boost is reapplied every 15 seconds for 5 minutes. (This lost health is refunded after the overload ends). Only usable within the Chambers of Xeric.
	Smelling salts	11-26	Visible	Attack 11 + floor(StaticLevel * 0.16) Defence 11 + floor(StaticLevel * 0.16) Strength 11 + floor(StaticLevel * 0.16) Ranged 11 + floor(StaticLevel * 0.16) Magic 11 + floor(StaticLevel * 0.16) Restores run energy by 25%. The boost is reapplied every 15 seconds for 8 minutes. Only usable within the Tombs of Amascut.

Prayer Multiplier:

Prayer
Clarity of Thought	1.05
Improved Reflexes	1.10
Incredible Reflexes	1.15
Chivalry	1.15
Piety	1.20

Step four: Calculate the Attack roll

1. Effective attack level * (Equipment Attack bonus + 64)
2. Multiply by target-specific gear bonus
3. Round down to nearest integer

The Equipment Attack bonus can be found in the Equipment Stats window, and is labelled Stab, Slash, Crush. Use the value of whichever attack type you are using.

Gear bonus is the same as in Step Two.

Step five: Calculate the effective defence level

The effective defence level is only used for calculating the defence roll for players, it is not used for monsters.

It is affected by the player's defence level multiplied by prayers used and skill level boosts.

To calculate your effective defence level:

1. (Defence level + Defence level boost) * prayer bonus
2. Round down to nearest integer
3. +3 if the player is using the defensive attack style, or +1 if using controlled
4. +8

Step six: Calculate the Defence roll

To calculate a monster's defence roll, use the formula:

${\text{Def roll}}=({\text{Target Defence level}}+9)*({\text{Target Style Defence Bonus}}+64)$

Target's Defence level is denoted by a shield icon on the target's wiki page.

To calculate a player's defence roll, use the formula:

${\text{Def roll}}={\text{Effective Defence}}*({\text{Target Style Defence Bonus}}+64)$

Target's style defence bonus refers to its stab, slash or crush defensive stats, depending on the attack type used.

Step seven: Calculate the hit chance

If Attack Roll > Defence roll:

${\text{Hit Chance}}=1-{\frac {({\text{Def roll}}+2)}{2*({\text{Atk roll}}+1)}}$

Else

${\text{Hit Chance}}={\frac {\text{Atk roll}}{2*({\text{Def roll}}+1)}}$

Step eight: Calculate the melee damage output

${\text{Average damage per attack}}={\text{Hit Chance}}*{\Biggl (}{\frac {\text{Maximum hit}}{2}}+{\frac {1}{{\text{Maximum hit}}+1}}{\Biggr )}$

To calculate the average damage per second (dps), divide the average damage per attack by the attack speed of the weapon in seconds.