Shippuu, on 18 March 2013 - 12:38 PM, said:

- Clarification: Does boss crit cap at 50%? I'm pretty sure the min is 6%.

- Information Request: A formula for the average damage % for x Balance (not counting Crit), and one for just Critical.

- Information Request: A formula for average damage % for x Balance and x Critical.

I don't believe anyone has done any experiments concerning a Boss's chance to crit you.

For statistically average damage, the following formulae work. The Crit and Bal multipliers are separate terms, so you can just remove one or both as you like:

**AverageDamage(Physical) = ATT_term*Crit_term*BAL_term**, where

**ATT_term =** (MAX(MIN(10000,ATT+2380*Paladin?+3880*DarkKnight?+900*FuryInfusion?+1200*CrushingStrike?-BossDEF),0)+900+AddlDmg*6.25)

**Crit_term =** (1+MIN(MAX(Critical+22+22*FuryInfusion?+MIN(WIL+600*DarkKnight?+600*Paladin?,2000)/2000*15+3-BossCR,3),50)/100*(0.5+MIN(WIL+600*DarkKnight?+600*Paladin?,2000)/2000*0.3))

**BAL_term =** MIN(BAL/200+0.5+0.05*DarkKnight?,0.95).

**AverageBaseDamage(Magical) = M.ATT_term*Crit_term*BAL_term**, where

**M.ATT_term =** (MAX(MIN(10000,M.ATT+1900*Paladin?+3880*DarkKnight?-BossDEF),0)+900+AddlDmg*6.25)

**Crit_term =** (1+MIN(MAX(Critical+48+MIN(AGI+600*DarkKnight?+600*Paladin?,2000)/2000*30+3-BossCR,3),50)/100*(0.37+MIN(INT+600*DarkKnight?+600*Paladin?,2000)/2000*0.3))

**BAL_term =** MIN(BAL/200+0.5+0.05*DarkKnight?,0.95).

Terms ending with a ? are T/F, where T=1 and F=0. Fully ranked skills and properly built transformation paths are assumed. DarkKnight? and Paladin? are in reference to first-level trans of either. Second-level trans is not accounted for.

Both formulae are for calculating average base damage. To get the real damage, you'd have to multiply by skill multipliers, smash mastery, AGI Multipliers (Lann), etc.

The 6.25 AddlDmg multiplier has been called into question before. The number may be closer to 7. Manna has done some work with this.