Boards›Gameplay

The TRUE Growth stat formula you can't seem to find anywhere else..

Vladamphir·1/24/2015, 5:03:05 AM·10 votes·5,621 views

Lol it took me forever too figure it out The formula people keep giving me is the formula for the additional stat gain at that level, not the total amount of stats earned at that level. I'll post the true formula at the top, but if you want to understand keep reading.

B = Original Base Stat, G = Growth Stat, L = Current Level Total Base at Current Level = B + .65G(L-1) + .035G(1.5 + (.5L-.5))(L-1)

Found a nifty way to simplify that mess of a formula.. : B + G(L-1)[.65 + .035(.5L + 1)] Into finally: Total Base Stat at Current Level = B + G(L-1)(.685+.0175L) Your Welcome and good night.

Why thats different from everything i've heard so far...

[{quoted}](name=Devi Freak Mint,realm=NA,application-id=3ErqAdtq,discussion-id=hkRHkgF1,comment-id=000000000000,timestamp=2015-01-24T00:26:55.144+0000)

Non-Linear stat formula:

StatValue = BaseValue + (GrowthValue* ((ChampionLevel*3.5) + 65)/100))

For Vi's Health we get:

LevelHealthGrowth
1582.885
2644.061.2
3708.264.2
4775.367.2
5845.570.1
6918.673.1
7994.676.1
81073.779.1
91155.782.0
101240.785.0
111328.788.0
121419.691.0
131513.693.9
141610.596.9
151710.399.9
161813.2102.9
171919.0105.8
182027.8108.8

Same formula for Health, Mana, Attack Damage, HP5 and Armor.

The problem with that. Vi:

Level // Health // Growth // Your Formula //////////////////// Your Formula Answer. 8 ///// 1073.7 /// 79.1 // 582.8 + (85*((83.5)+65)/100)) //// 661.85 9 ///// 1155.7 /// 82.0 // 582.8 + (85((93.5)+65)/100)) //// 664.825 10 ///// 1240.7 /// 85 /// 582.8 + (85((10*3.5)+65)/100)) /// 667.8

If you ignore the base stat add on 582.8, your only calculating the value of growth at each level, not the complete growth gained from all previous levels. The real, far more complicated formula is as follows. This formula will work for any growth stat of any champion at their current level.

B = Original Base Stat, G = Growth Stat, L = Current Level

Total Base Stat at Current Level = B + G(L-1)(.685+.0175L)

If you theorycraft it takes 2 minutes to make a automated formula in excel or some similar spreadsheet. It took me two hours of soul crushing math to work it out since I haven't done this kind of thing in a long time. I hope someone appreciates it. :)

8 Comments

Sailor Mint1/24/2015, 5:18:56 AM2 votes

It's been posted by Rioters and the formula is even available on the wiki.

Stats Gained Per Level

Stat advantages through levels have been smoothed out. Honestly speaking, Leona + Graves will still beat the stuffing out of you at level 2, but level advantages should be more focused on ability ranks than raw stat gains. Mana regeneration has been normalized across mages and supports to account for the new mana regeneration item changes.

Basically we're trying to smooth out level advantages through stat gains. Given how strong basic attacks and ability levels are during the early game, flat stat per-level advantages only magnify early game snowballing - especially that level 2 power spike that laners use to punch their opponents in the face.

For the attack damage change, we saw an opportunity to lightly address the minor imbalance between ranged and melee in the solo lane, so ranged champions (and Jayce / Kayle) won't have their base AD modified by the base stat buff (which rounds out to +2 AD for melee champions). There's something to be said about loss aversion, but let's not go into that.

* HOW DID WE ARRIVE AT 168%* All champions have had their base stats raised by 168% of their old per-level statistic (except attack speed) *NO SUCH THING AS LOSS AVERSION *All ranged champions (and Kayle / Jayce) have opted out of having their attack damage increased by 2 via the above +168% base stat buff STATISTICAL RENAMING "Per level" statistics have been renamed "growth" statistics to better reflect what's going on - see below for more information STATS GAINED PER LEVEL No longer linear. Instead, stats follow the following formula:

    Level 1: Immediately gain 0% of your growth statistic. All of your 'base stats' will be calculated off of this
    Level 2: Gain +72% of your growth statistic
    Level 3: Gain +75.5% of your growth statistic
    Level 4: Gain +79% of your growth statistic
    ... Gain +((Level*3.5 - 7) + 72)% of your growth statistic
    Level 18: Gain +128% of your growth statistic

TOO LONG, DIDN'T READ At level 18, you've gained +1700% of your growth statistic (this is slightly more than the old formula)

Source: 4.20 Patch Notes

The StatGain value for a given level is in fact (GrowthValue* ((ChampionLevel*3.5) + 65)/100)) My post was not completely accurate.I knew it looked off, and it didn't help that i didn't provide context.

Tannhauser Gate8/30/2017, 1:27:47 AM2 votes

Thanks for the post!

Westbound434/28/2015, 11:17:27 PM1 votes

Good stuff man. Thanks for the post.

Khoral2/28/2018, 11:01:14 AM1 votes

I know this is from 3 years ago, but a huge THANK YOU to you dear sir.

Xman93/3/2019, 3:39:55 AM

Total Base Stat at Current Level = B + G(L-1)(.685+.0175L)+1