% strength increase vs raw strength increase

I've been looking for a 12% increased strength armor. My current one is +54 strength and with it I have 1474 str in total. Thing is Path of Building shows me that if I switch from the +54 strength to 12% increased strength I'll be getting only 31 additional strength up to 1505. 12% will only give me 112 additional strength instead of the 81 I am getting now.

But shouldn't it be more? I was expecting something around the ballpark of 150 strength. Is path of building wrong or is 12% increased strength some very complicated formula you cant do by just looking at your character sheet?

"

Johny_Snow wrote:

some very complicated formula you cant do by just looking at your character sheet?

Depends on how you define complicated.

It's the exact same mathematical magic that happens with respect to "x% increased damage," "y% increased Life," etc. So, the memelord answer to your question is "yes diminishing returns."

The chest you are looking at will give you "12% increased Strength," not "12% more Strength," and increased stacks additively with other increased of the same data packet.

Here are the exact calculations for your results:

You have the following existing increases to strength:
10% increased - Ascendant Chieftain node
11% increased - Elder Heavy Belt
18% increased - Alberon's Warpath
10% increased - Xoph's Blood

Formula: base strength * increased/more multipliers = net strength. Base strength is all the +a strength you have; net strength is the strength used in calculations and which displays on your character sheet.

You say your net strength is 1474, and you are "getting" 81 from +54 strength, which means that without the chest your net strength is (1474-81) = 1393.

If you know algebra you know you can divide by increased/more multipliers to find your base strength:

1393/(1+.1+.11+.18+.1) = 935 base strength

Then multiply it by the increased/more multipliers after you add the new 12% strength chest:

935 * (1+.1+.11+.18+.1+.12) = 1505.35, truncated to 1505

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=--

Note that you can also combined the last 2 calculations to figure the relative "more" increase from any given "increased"; you take (existing+new)/existing:

existing = 1 + .1 + .11 + .18 + .1 = 1.49

(1.49 + .12) / 1.49 = 1.08054 = "12% increased will grant 8.05% more"

If you really want to get fancy, you can also calculate the x% more from adding flat strength, using the exact same formula!

Base strength = 935

(935 + 54) / 935 = 1.05575 = "+54 will grant 5.58% more"

Soooooooooooo you're actually comparing a 1.08 multiplier against a 1.06 multiplier, which is not as strong as a 1.12 multiplier vs. a whatever multiplier.

-=-=-=-=-=-=-=-=-=-=-

If you want to get ultra super duper fancy, you can convert any x% increased to y% more (marginal, for that decision, which may sometimes be deceptive) by taking the reciprocal of the existing multiplier:

1/1.49 = 0.671 or about two-thirds

This means you know that if you already have 49% increased, any further x% increased will only be about 2/3s as strong as x% more!

All I have to say is thank god for path of building.

Its not a complicated formula. You probably already have +x% strength or attributes on another piece of gear or ascendancy. These mods are added together, so if you have 1000 strength and (exaggerated example) 3 100% increased strenght mods you will end up with 4000 strength. Getting an additional 100% will get you to 5000.

"

Johny_Snow wrote:

All I have to say is thank god for path of building.

Yup, as a player all you'd really logically be interested in is "did my strength go up or down with this decision" and POB tells you if it did or not. Great stuff.