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Either that or +1-2 is a very, very small increase and +3 is 20%
https://darksouls.fandom.com/wiki/Covetous_Silver_Serpent_Ring_(Dark_Souls_III)
* Covetous Silver Serpent Ring: Fallen enemies yield 10% more souls.
* Covetous Silver Serpent Ring+1: Fallen enemies yield 20% more souls.
* Covetous Silver Serpent Ring+2: Fallen enemies yield 30% more souls.
* Covetous Silver Serpent Ring+3: Fallen enemies yield 35% more souls.
* Without Silver Serpent Ring+3: 192 souls
* With Silver Serpent Ring+3: 259 souls
Now 259 is approximately 1.348958 times more than 192, correct to 6 decimal places. Round off to 2 decimal places so 259 is 35% more than 192.
Edit: I should add that I killed my test subject in 2 hits. If you one-shot an enemy, you would get more souls than if you kill the enemy with more than one hit.