If I get 50% right on a test and my friend got 100% right, did he do 50% better than me or 100%?


2nd question
If he is ranked top 10% in battlefield and I'm ranked in the top 20% (lower the percentage the more skilled you are) is he 10% more skilful than me or 100% more skilful?

50 * (1+x%/100) = 100, x%=100

0.8 * (1+x%/100) = 0.9, x%=12.5

appreciate the reply but i don't understand why we are adding 1 in there or whatever that formula is. I want to know it so i can use it often so i'd love it if you could explain it a bit more in a way a noobie can understand

The answer depends on one’s definition of “better.” Two possibilities are relative and absolute. In the first case the absolute difference is 100 -50 =50 percentage points. Friend is 50 percentage points better than you.

The relative difference is

(Friend –You)/You =( 100-50)/50 = 100%

Friend is 100% better than you.

In the second case, friend is in the 90-th percentile and you the 80-th. Absolute difference is 10 percentile points. Relative difference is (90-80)/80= 12.5%

MD46135 equations represent one way to get the relative difference. If you have a score of S, and someone has a higher score of S+D. then if X = relative %

S(1+X)=S+D

So

S+SX = S+D
SX=D
X =D/S

which as shown earlier is the difference divided by the lower score.

let's say you have 100 potatoes and someone has 20% more. how many potatoes does he have? 120 because 100*1.2=120. what you are asking is kind of inverse to this. your problem is that you have 100 potatoes and someone else has 120. how much more potatoes percentage-wise does he have?

in general the formula is smaller number * number greater than 1 = bigger number. or smaller*(1+ percentage_increase/100)=bigger.

so 100*(1+x%/100) = 120, x%=20. percentages are easy when comparing with number 100, with other numbers the logic is the same but the answer isn't that obvious.

Thanks guys so if my friend is paying a 10% rake in a sit n go and I'm playing the same stakes but my game is 20% rake then in terms of percentage points I'm paying 10% more but in relative terms I'm paying 100% more rake than him is that right?

Not exacty. In percentage points you are paying 10 percentage points more, not 10% more. It's 100% more, or 10 points. Don't mix them.

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