Technically, I asked for Armor Penetration VS Attack, not VS Critical Damage... I don't see how this could help me with that in mind
I do appreciate the effort though!
Woops.
Still, you did the calculations for attack, i did a spreadsheet for crit dmg. Should still be useful info.
I understand you were debating whether to use armor penetration or attack on grip. I got a bit sidetracked and decided to do the math on what rings would be better, as I was curious about this myself.
Conclusion
With those results, I conclude 62 armor is where 18% Armor Penetration becomes better than 10.5% Attack.
From that conclusion, 2 questions arise:
1- Did I made a mistake while calculating that?
2- How many enemies have 62+ armor? (is there any spreadsheet with those values like there was in ME3?)
There's a thing you missed in your calculations.
The more attack you have (promotions, weapons, etc), the less valuable that 10.5% attack on the dagger becomes.
E.g.: (napkin math):
At 0% attack, 10% attack would increase your damage by 10% (not really 10%, it will be less due to the way damage is calculated in DA:I, but for the sake of it, assume 10%).
If you already have 50% attack from other sources (not an unreasonable value), the extra 10% attack would be a roughly 6% increase.
At 100% bonus attack, the extra 10% would be 5% (roughly), and so on.
You have to factor that into the calculations, as you cant compare them head to head. I think it's highly unlikely you already have armor pen on gear, thus the value of armor pen stays the same, while the value of attack becomes more diluted the more attack you already have.
My guess is the armor value at which armor pen becomes better than attack will be less than 62 for you. Easiest way to check would updating the values in your formula with your current attack from promotions/gear and redo the calculations





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