One last attempt because I honestly cannot wrap my head around most of the math that you are doing; in the sense that I do not understand how you get the values that you do.
Right off the bat though: It does seem like the issue is not pp vs. % after all.
This statement, however, I believe clears things up for me:
if what chermorg said is true than the percentage you would see stated, would always be 25% since 3 is the average and 4 is the max.
There seem to be two reasons for your confusion:
A) What you consider the reference value; i.e how many honors is 100%.
This part is why I asked the question with the plants. I wasn't trying to be condescending, but I tried to understand your reasoning by using a simple question.
It seems that you simply consider percentages to only be a valid use when 100% is the maximum. The result of that is, from what I gather, that in a comparison you will always consider the larger value to be 100%.
Hence why in the quoted part you say it could at most be 25% larger, because you consider 1 honor divided by the higher value: 4
That said, this is simply not the only way it is used. The reference value depends on the exact context, and it's not necessarily the highest number.
And in the context of spoken language, the reference value is usually the object. The thing that the subject (you) is being compared to (the average player).
And that's the case even when the average player gets less than you. In that case, you might for example get 200% of the average player's honor (6). Which 100% more than the average player (3+3).
Just to make this clear: This isn't just an interpretation. This is how people use percentages every day.
B) What value is actually being compared.
You appear to always be exclusively looking at one game.
Now I will admit that I would have looked at values in a per-game basis, too, which would make Chermorg's example a bad one. That said, he never did explicitely mention the amount of games those 3 honors were gathered in.
And that's why even when looking at the average value for one game, that value can, in fact, get signficantly below one. If a player is only averaged once in 5 games, then he would, in fact, only get an average of 0.2 honors per game. Even though the specific case of getting 0.2 honors in one individual game clearly never happens, it's still a meaningful statistic.
So to make this part clear: The 100% value does not need to be an integer. If the average person gets 0.81 honors per game, then if you get 145% (your example) more than the average, you would get 1.45*0.81 + 0.81... which is roughly 2.
So to summarize: The reference value (i.e. 100%) is not 1, it's not 4 either. It's the honor that an average player gets. That value does not need to be an integer which can result in odd percentages even when comparing actual integers to it. For example 3 is 92% larger than 1.5625
If that doesn't clear things up, I'd again like to refer to my plant example and get your input there.
How large would you say plant A is, if it's 50% larger than plant B, assuming plant B is, say, 1.3 meters?
