How does the mana reservation reduction really work?

So today after calculating some stuff I was sure I could run 3x 40% auras and 1x 30% aura from my mana.
To begin with, I run reduced mana gems on all 4 of them that reduce the cost to 73%.
In addition i respecced some stuff and picked up 2x 5% reduced mana reserved nodes.
The way I thought it worked was (40+40+40+30) * 0,73 * 0.9 = 98.55%
As I saw it really doesnt seem to work that way since the auaras say that 40% ones reserve 27% and the 30% one reserves 19% each, actually bringing me up to exactly 100%.
Would be glad if some1 could point out to me what I was calculating wrong or how it actually works.

could be that each aura is calculated individually and due to rounding you end up with 100%

I run 3x40%+1x30% with red mana lvl17 and 3 points in reduced mana reserved
with your lvl18 red mana gem it's close - just get 1-2 lvls more on it and you are fine

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Buchsbaum написал:

could be that each aura is calculated individually and due to rounding you end up with 100%

I run 3x40%+1x30% with red mana lvl17 and 3 points in reduced mana reserved
with your lvl18 red mana gem it's close - just get 1-2 lvls more on it and you are fine

1-2 more levels at that level is a long time

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Buchsbaum написал:

could be that each aura is calculated individually and due to rounding you end up with 100%

I run 3x40%+1x30% with red mana lvl17 and 3 points in reduced mana reserved
with your lvl18 red mana gem it's close - just get 1-2 lvls more on it and you are fine

If you calculate them individually, the sum will still be the same. I tried it out and it's actually logic.

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Kiluvaras написал:

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Buchsbaum написал:

could be that each aura is calculated individually and due to rounding you end up with 100%

I run 3x40%+1x30% with red mana lvl17 and 3 points in reduced mana reserved
with your lvl18 red mana gem it's close - just get 1-2 lvls more on it and you are fine

If you calculate them individually, the sum will still be the same. I tried it out and it's actually logic.

I said due to rounding.

maybe each 40% aura ends up with taking 26.516%, gets rounded to your showed 27% and that is exactly the difference between your calculated 98.55% and the 100% you need.

40 * .73 = 29.2
29.2 * .9 = 26.28

Why it gets rounded up to 27 is beyond me. The 30% one should accurately round to 20 since it is 19.71. If using normal rounding, this should put the total at 98%.

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Without_Pause написал:

40 * .73 = 29.2
29.2 * .9 = 26.28

Why it gets rounded up to 27 is beyond me. The 30% one should accurately round to 20 since it is 19.71. If using normal rounding, this should put the total at 98%.

a lot of formulas don't use normal rounding. in this case i'm guessing everything rounds up.

They do round up in this case, the logic being that your reduction isn't enough to take it to down the next percent, so it doesn't. A whole bunch of stuff in PoE works that way, take Purity for example. It can be annoying, but it is what it is.

just get alpha's howl.

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Galneryus написал:

just get alpha's howl.

Alpha's Howl would be just a waste since I'm a templar and I do not need the evasion and also because it's pretty overpriced. I'd rather have +300 hp than +600 EV.