Holy crap this is petty.
I think we can all agree that 300% of something is 3 times that thing.
The confusion arises in that it's a 300% improvement - which means it needs to be added on to the original. Otherwise, a 100% improvement is no improvement at all because 1 x 100% is still 1. Using that logic, a 50% improvement would see a decrease in effectiveness (1 x 50% = 0.5), which makes no sense, because that's actually a reduction. So that can't be correct.
So, if the improvement must be added on to the original:
1 with an improvement of 50% = 1 + improvement of (1 x 50%) = 1 + 0.5 = 1.5
1 with an improvement of 100% = 1 + improvement of (1 x 100%) = 1+1 = 2
1 with an improvement of 200% = 1 + improvement of (1 x 200%) = 1+2 = 3
1 with an improvement of 300% = 1 + improvement of (1 x 300%) = 1+3 = 4
Now, whether the marketing gets it right is another issue. I've seen it mentioned that the wand provides 3x results. Which would be 300% results - but is different from 300% improvement on the original results. It's certainly an improvement on the original, and the results are 3x the original, but the improvement component is only (300% (total) - 100% (original) =) 200%.
However, this thread probably shows why the marketing has discrepancies - because people get confused between the two.
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