Question about Damage Reduction

Let’s say I have a 100% damage reduction. Would this mean that I will now take 50% less damage, or 100% less damage?

Would 50% reduction be half or a third off?
Would 200% reduction be two-thirds off or do nothing after 100%?

Can you ever “hit” a point (theoretically) where you take zero damage, or does damage reduction scale exponentially?

Damage reduction in WoW is multiplicative, so you can never reach 100% with stacking abilities.

For example:
As a rogue, you’re playing 2s with a discipline priest and you forgot to put on any off your gear.

The opponent hits you with a 100k hammer of wrath and you die.

If you had your gear on, you would have 10% damage reduction from versatility.

You would instead take 100k * 0.9 (90% damage taken, 10% damage reduction) = 90k damage.

Now let’s say your priest uses pain suppression, you now have 10% damage reduction from versatility and 40% damage reduction from PS. Additive that would equal 50%. Multiplicative it equals 46%.
Damage taken = 90% * 60% or 0.9 * 0.6 = 0.54. 54% damage taken means 46% damage reduced.

Let’s add elusiveness feint which is 30% more damage reduction. Now you have:
90% damage taken (vers) * 60% damage taken (PS) * 70% damage taken (feint)
0.9 * 0.6 * 0.7 = 37.8% damage taken or 62.2% damage reduction.

Hope it makes sense. Just remember it’s multiplicative and not additive.

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Alright, thank you.
So if, hypothetically, one were to reach 200% versatility (yes I know it’s capped at 126%, but hypothetically), one would literally not take ANY damage?

If you could manage 100% damage reduction from any one ability, you would hypothetically take no damage.

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It can be a little confusing for anyone not familiar with the math.

It’s easy to assume that if you had 5 abilities that gave you 20% damage reduction that you would have 100% damage reduction, but that’s additive stacking.

With multiplicative stacking, 5 instances of 20% damage reduction would be (0.8 * 0.8 * 0.8 * 0.8 * 0.8) or 32.7% damage taken or 67.3% damage reduction.

100% is total, so 50% damage reduction would reduce it by half. I missed that part of your question.

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pawn shop meme

best i can do is

https://www.wowhead.com/spell=307160/potion-of-hardened-shadows

on top of

https://www.wowhead.com/spell=216802/potion-of-defiance

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