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. 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)