Incoming phys damage calculation discussion. V Engame "Pure" Armour for lvl 82/83 juiced mapping.

Hi All,

For anyone who enjoys a bit of number crunching and would like to not feel obliged to hit up ES for crazy juiced T16+2/double corrupted/delirious maps.

I've been exploring creating an overly Tanky grenade build on a mercenary, Gemling, sticking to pure Armour and Cloak of Flame. V late game gear - but can still be improved upon. Adjusted version of Wudijo's build, I image this can only be reached in trade league. Lvl 95.

The aim is to maximise reduction in death in Maps with delirious/double corrupted lvl 81/82/32 Maps with +4 boss atlas - whilst doing breach and ritual. Aim to face all maps mods apart from Elemental Pen/reduction Max res, DPS is easily sufficient for this. I can very easily clear Xesht +4, but would probably struggle on other +4 pinnacle bosses.

I was hoping someone would be able to help with my calculations so I can make sure I understand how incoming damage is calculated and update my tables to correctly see break points. There is one worked example below using the 12x calculation for armour.

Key info:
1) Cloak of Flame with 49% physical to fire
2) Catalysis Notable via megalomaniac gem: 5% physical to random Elemental (will assume cold for the below)
3) Heatproofing Notable: 25% of Armour also applies to fire damage
4) Armour = 10,000 (2500 applied to fire)
5) Armour with Scavenger Plating up = 17,000 (4250 applied to fire)
6) Elemental Resistances: 90% all 3
7) Enfeeble/blasphemy: 20% reduction in damage received (changes depending on the enemy, but will use this figure for this example)

I have done my calculations under the following assumption / order:
Enfeeble > Damage Conversion > Elemental Resistance > Armour Calculation

It would be great if anyone could tell me if this is correct or where I have gone wrong.

For a physical hit of 1,000 with full stacks of scavenger plating up

1) Initial Damage: 1,000 physical damage

2) Enfeeble Effect:
Reduced damage: 1,000 * (1 - 0.20) = 800

3) Damage Conversion (Physical is 46% - the remaining after both conversions):
- Physical: 800 * 0.46 = 368
- Fire: 800 * 0.49 = 392
- Cold: 800 * 0.05 = 40

4) Elemental Resistance (90%):
- Fire: 392 * 0.10 = 39.2
- Cold: 40 * 0.10 = 4

5) Armour Calculation:
a) Physical:
- Armour: 17,000
- Reduction: 17,000 / (17,000 + 12 * 368) ≈ 79.38%
- Damage taken: 368 * (1 - 0.7938) ≈ 75.88
b) Fire:
- Armour applied to fire: 4,250
- Reduction: 4,250 / (4,250 + 12 * 39.2) ≈ 90.03%
- Damage taken: 39.2 * (1 - 0.9003) ≈ 3.91

6) Total Damage Taken:
- Physical: 75.88
- Fire: 3.91
- Cold: 4.00
Total: 75.88 + 3.91 + 4.00 = 83.79

i.e. Assuming all else equal, I can take 32 hits of 1,000 physical damage without being killed.

Note: This is 80.19 damage received IF Catalysis procs fire (1/3 chance)

7) Overall Mitigation:
Damage mitigated: 1,000 - 83.79 = 916.21
Mitigation percentage: (916.21 / 1,000) * 100 ≈ 91.62%

8) To achieve 90% physical damage reduction (the cap) from a 1,000 hit using armour alone, you would need circa 108,000 armour.

9) Using this formula the maximum damage I can take on full HP without being 1 shot is 12,886 (I provide this for an illustration, likely unrealistic due to debuffs). That's a 69%~ damage reduction.

10) Yes I know crazy ES is probably better. Evasion is also strong, but I found it got too dicey when dmg breaks through on very juiced maps (i.e. multiple damage / crit / atk speed multipliers) without massively nerfing my damage output. What I have above seems to have hit the sweet spot. Build is also not 'meta' in damage so won't be one shotting bosses, that's not the aim.