How the Max Hit Calculator works

Three formulas, one per style, with the rounding steps the game uses.

checked against the live game · 2026-11-11 ← Back to the calculator

Melee

effective = floor(StrengthLevel × prayer) + styleBonus + 8
effective = floor(effective × 1.10) if void melee
maxHit = floor(0.5 + effective × (StrengthBonus + 64) / 640)
maxHit = floor(maxHit × m) for each later multiplier m (slayer helmet 7/6, salve 7/6 or 1.2, specials)

Prayer multipliers: Burst of Strength 1.05, Superhuman 1.10, Ultimate 1.15, Chivalry 1.18, Piety 1.23. Style bonus: Aggressive 3, Controlled 1, otherwise 0.

Example: 99 Strength, Piety, Aggressive, +130 strength bonus, slayer helmet on task: effective = floor(121.77) + 3 + 8 = 132; base = floor(0.5 + 132 × 194 / 640) = floor(40.51) = 40; on task floor(40 × 7/6) = 46.

Ranged

effective = floor(RangedLevel × prayer) + styleBonus + 8
effective = floor(effective × 1.10) void | floor(effective × 1.125) elite void
maxHit = floor(0.5 + effective × (RangedStrength + 64) / 640)
maxHit = floor(maxHit × m) for each later multiplier (slayer helmet (i) 1.15, salve (i) 7/6, salve (ei) 1.2, dragon hunter crossbow 1.25 …)

Prayer multipliers: Sharp Eye 1.05, Hawk Eye 1.10, Eagle Eye 1.15, Rigour 1.23. Style bonus: Accurate 3, Rapid and Longrange 0.

Magic

maxHit = floor(base × (1 + magicDamage% / 100))

base is the spell's fixed hit or, for powered staves, a function of your visible Magic level: trident of the seas floor(L/3) − 5, trident of the swamp floor(L/3) − 2, Sanguinesti staff floor(L/3) − 1, Tumeken's shadow floor(L/3) + 1, Thammaron's sceptre floor(L/3) − 8, accursed sceptre floor(L/3) − 6, Magic Dart 10 + floor(L/10). magicDamage% is the equipment total plus additive bonuses: slayer helmet (i) +15% on task, salve amulet (ei) +20%, elite void +2.5%. Tumeken's shadow multiplies the equipment magic damage by 3 (4 inside the Tombs of Amascut). Charge raises the three god spells to 30; chaos gauntlets add 3 to bolt spells.

Spell base hits used

BookSpellLevelBase
StandardWind Strike12
StandardWater Strike54
StandardEarth Strike96
StandardFire Strike138
StandardWind Bolt179
StandardWater Bolt2310
StandardEarth Bolt2911
StandardFire Bolt3512
StandardWind Blast4113
StandardWater Blast4714
StandardEarth Blast5315
StandardFire Blast5916
StandardWind Wave6217
StandardWater Wave6518
StandardEarth Wave7019
StandardFire Wave7520
StandardWind Surge8121
StandardWater Surge8522
StandardEarth Surge9023
StandardFire Surge9524
StandardCrumble Undead3915
StandardIban Blast5025
StandardSaradomin Strike6020
StandardClaws of Guthix6020
StandardFlames of Zamorak6020
AncientSmoke Rush5013
AncientShadow Rush5214
AncientBlood Rush5615
AncientIce Rush5816
AncientSmoke Burst6217
AncientShadow Burst6418
AncientBlood Burst6821
AncientIce Burst7022
AncientSmoke Blitz7423
AncientShadow Blitz7624
AncientBlood Blitz8025
AncientIce Blitz8226
AncientSmoke Barrage8627
AncientShadow Barrage8828
AncientBlood Barrage9229
AncientIce Barrage9430
ArceuusGhostly Grasp3512
ArceuusSkeletal Grasp5617
ArceuusUndead Grasp7924
ArceuusInferior Demonbane4416
ArceuusSuperior Demonbane6223
ArceuusDark Demonbane8230

Not included

Sources

Old School RuneScape is a trademark of Jagex. This site is an independent fan-made tool and is not affiliated with, endorsed by or sponsored by Jagex. Game names are used only to describe what the calculators are for. No game art, icons or logos are used. Formulas are compiled from public sources and may lag behind patches — each tool shows the game version it was checked against.