Forewarning this question is pedantic. I’m not sure if I’m correct here or not which is why I’m asking.

Was talking about numbers in Pathfinder. We have a character with 26 AC, a GM was having a hard time hitting said character. Now I was just rambling on about how you can up the number from +13 (that’s a +13 on a 20 sided die to achieve 26) to +19 which evidently takes your percentage of succeeding from 35% to 65%.

In particular I originally worded something hyperbolically, I said “+19 is 45% greater than +13, which is a considerable increase”. The retort was that my math is terrible because 2 is 100% greater than 1.

Now I just assumed percentage is a way of making it hyperbolic, a little exaggeration. But either way 45% = 6 (rounded), so if I used 6 instead of 45% it’s pretty much exactly the same.

Is that wording / math fallible, in a statement like that would it be more appropriate to say instead that the chance to hit has gone up 30% (from 7/20 to 13/20 if I use percentages or just to say “it has gone up by 6 to +19 from +13”. Or are they all correct? Apologies if this is a bit pedantic, just a little unsure on how I should word such things, hard to find a situation to compare it.