Talk:Armour

Reversing DR equation to find monster damage?

So:

   Level 27
   Armour 115
   Estimated Physical Damage Reduction = 14%

If:

   Damage Reduction = Armour / ( Armour + (12 * Damage) )

Then:

   DR = A/(A+12D) <-- shorthandifying
   DR*(A+12D) = A
   DR*A+DR*12D = A
   DR*12D = A - (DR*A)
   D = (A-(DR*A))/(DR*12)
   D = (115-(0.14*115))/(0.14*12)
   D = 58.869047619047619047619047619048

Does this mean the average damage done by a level 27 monster is ~59?

If this is the case it will be easy for us to compile a table (or graph! :D) of the average monster damage per level. -AnnanFay (talk) 20:16, 14 February 2013 (UTC)

I guess the pertinent question is, what exactly does "Estimated Physical Damage Reduction" mean? —Vinifera7 (talk) 21:05, 14 February 2013 (UTC)

QUOTE:
"Augustrad wrote: 'It is my understanding that the percentage you have is the percent that damage is reduced per each hit, not counting chaos damage of course. Am I right?'

No.

First, it's estimated physical damage reduction, so in addition to chaos, it also won't apply to fire, cold or lightning damage, only to physical.

Second, it's estimated physical damage reduction - it's a rough guess. The amount that armour protects you is different depending on how strong the hit is - the same amount of armour will prevent a higher percentage of damage from a small hit than from a big one.
The percentage shown as an estimate is based on the average amount of damage we expect a monster of your level to be dealing, but individual monsters will deal more or less damage, thus causing lower or higher amounts of reduction." - Mark_GGG [ bold mine ]

Given the above quote it seems it is an average amount of damage monsters are doing. Probably Normal (white) non-elemental monsters. I'll start gathering some data. -AnnanFay (talk) 22:04, 14 February 2013 (UTC)

Average damage at level 2 is ~7 and level 29 is ~74. Hmm, where's the best place to put a table where people can enter their own values? This Talk page or some other page? -AnnanFay (talk) 23:08, 14 February 2013 (UTC)

Yeah in that case, I'd say your math is spot on. You can use the Estimated Damage Reduction formula and algebraically solve for Estimated Damage Dealt by Monsters of the same level. As for where to put this information, I'm not sure. Ask in the Community Portal. —Vinifera7 (talk) 02:19, 15 February 2013 (UTC)

Hello. Assuming the original equation is correct, the inverse can be derived as follows:

Damage Reduction = Armour / ( Armour + (12 * Raw Damage) )
Net Damage / Raw Damage = 1 - Damage Reduction = Raw Damage / (Raw Damage + Armour / 12)
Net Damage = Raw Damage2 / (Raw Damage + Armour / 12)
Raw Damage2 = (Raw Damage + Armour / 12) * Net Damage
Raw Damage2 - Raw Damage * Net Damage - Net Damage * Armour / 12 = 0

From here the quadratic formula gives us the raw damage in terms of the net damage and armour, as I have written in the main article.

--Evil4Zerggin (talk) 00:43, 29 April 2013 (UTC)

Armour calculations explanation

Hello, I fail to understand the calculation at the page, this is the way I see it. According to the text every 12 points of armor block 1 physical damage per attack, thus:

damage blocked=armour/12
net damage=raw damage-armour/12
net damage/raw damage=1-armour/(12*damage)

As you may see it differs from the calculations made by Evil4Zerggin. Please explain the differance and the term damage reduction factor.

Greetings, WVPM (talk) 15:33, 5 november 2013 (UTC)

The reason damage mitigation is not simply armour/12 is because armour rating is less effective at mitigating damage from large hits. That's why your character sheet reads "estimated damage reduction". Damage reduction factor is how much the damage reduced. If you have 200 armour rating and take a hit of 50 damage, the damage reduction factor is .25, which means the damage taken is reduced by 25%. If you have 200 armour rating and take a hit of 100 damage, the damage reduction factor is only .143, or about 14%. —Vini ^(t|c) 17:20, 5 November 2013 (UTC)

Graph

This first graph is probably one of the more misleading things I've encountered. Whose idea was it to plot damage reduction versus damage dealt with constant armor?

A damage reduction vs armor with constant damage dealt graph would be better. —The preceding unsigned comment was added by SerpentofSet (talk • contribs) 22:56, 8 May 2014‎ (UTC)

New info from Openarl via LocalIdentity

Monster armour formula is armour = (10 + 2 * level ) * ( ( 1 + dat("GameConstants"):GetRow("Id", "MonsterDamageReductionImprovement").Value / dat("GameConstants"):GetRow("Id", "MonsterDamageReductionImprovement").Divisor / 100 ) ^ level)

Or (10 + 2 * level) * 1.067 ^ level to be simplified

From the poewiki discord: https://discord.com/channels/872882365406523452/877595309792968715/1199701662810521720

I added a note to the monster armour section, but it's probably worth updating properly. Source isn't ideal, but it's as credible as it gets without being a dev. - Yohsene (talk) 15:22, 25 January 2024 (UTC)