Is a 200% increase 3x? When it says "200% more" then it's 2x the value on top of the original value, or when it says "levels are now at 200%" then the value doubled. But with "increase" as word, or with random other wordings as in the headline, I'm not actually sure how to take it. I intuitively took it as 10x the original value (not 11x) but I'm now thinking that's probably wrong

What's a 0% increase? The original quantity. Therefore a 200% increase has to be 3x.

> Is a 200% increase 3x?

Yes. Increase means the number went up. A 200% increase means that it increased by 200% of the original, so you have the original 1x and the increase of 2x for a total of 3x.

“A 200% increase” is logically equivalent to “200% more”. Think about what it means for a number to “increase” or to be “more than” another number. How much is the “increase”? How much “more”? Unfortunately, “200% as much” is often what people mean when they say “200% more”.

(This difference became especially noticeable to me after playing^W practicing my math skills with incremental games for obscene amounts of time.)

30% means 0.3. A 30% increase is x * 1.3. Why should it be different for 200%

Because it's relative to the original value.

Your logic: 100% means 1. A 100% increase is x * 1.

Correct logic: 100% means 1. A 100% increase is x + (x * 1)

Your 30% example is the same x + (x * 0.3)

200% is x + (x * 2) for a total of 3 times the original amount.

Same goes for 1000% being x + (x * 10) for a total of 11 times the original amount.