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On my Android.SE profile, top 2% this week is displayed in Reputation box: Reputation on Android.SE

But, when I click it, I found that my week rank is 1: Reputation League of Android.SE

So, how does this n% work?

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Looks like its broken for Chance and Richard Borcsik as well if the accepted answer to this question is to be believed –  Some Helpful Commenter Mar 22 '12 at 17:31
    
@ConradFrix Means, I can add bug tag.. –  Sachin Shekhar Mar 22 '12 at 18:02
    
Its not broken. See my answer. I have removed bug tag.. –  Sachin Shekhar Mar 23 '12 at 14:44
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2 Answers

There were only 104 users with rep changes this week, so that works out (with rounding) to the top user being the top 2%, the text is correct.

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It was really broken. Now, it has been corrected with top 0.96% this week. –  Sachin Shekhar Mar 23 '12 at 12:15
    
From answer of this question, (1/104)*100 returns 0.96% after round off. Here, 1 is rank & 104 is no. of users having rep change.. –  Sachin Shekhar Mar 23 '12 at 12:17
    
So, remove status-bydesign moderator tag from question, please. –  Sachin Shekhar Mar 23 '12 at 12:52
    
FYI, when this question was first posted, the rep leagues showed 91 people with rep gain. I think top 2% was correct with regard to that number (it would put you right on the edge between top 2% and top 1% if I'm thinking about this correctly). I meant to post an answer at that time, but I forgot =) –  jadarnel27 Mar 23 '12 at 13:13
    
@jadarnel27 still, its bug because exact value is 1.098% which rounds off to 1%, not 2%. –  Sachin Shekhar Mar 23 '12 at 13:20
    
@SachinShekhar - that's not a bug, it rounds up intentionally, doing otherwise would be incorrect. –  Nick Craver Mar 23 '12 at 14:01
    
@NickCraver Now, I get it (see my answer). But, you've confused me after calculating it with 104 users (with 104 users, it would be 0.96%)! –  Sachin Shekhar Mar 23 '12 at 14:53
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up vote -1 down vote accepted

Now, I get it. At this time situation is:
Reputation League at Android.SE

Calculating it is easy with this formula: (Rank/No. of Users with Rep Change)*100%
Rank=1; Users with Rep Change in week=104
So, (1/104)*100% = 0.96% (after round off)

At the time I asked question, users with rep change were 91. After applying this formula & rounding off after considering percentile rank, it was 2%. I am attaching @balpha's comment here (which explains more):

The top 2%, by definition, are the users whose rep change is above the 98th percentile. The top 1% are those above the 99th percentile. At 98.9, your rep change is below the 99th percentile, but above the 98th. Thus, you're in the top 2%, but not in the top 1%.

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Not a bug. At the time you posted this, you were 1/91 = 1.09%. 100-1.09 gives you 98.9, so you were still just within the top 2%. It only gets more specific than whole numbers once you get below 1%. –  jadarnel27 Mar 23 '12 at 13:15
    
Nearest rounded no. is 1, not 2. –  Sachin Shekhar Mar 23 '12 at 13:23
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@SachinShekhar - We're talking percentiles here, rounding down is incorrect...so we round up very intentionally (there's literally a line of code that does this). If on your SAT you rounded a 99.9% to 100% it would not be correct, you score better than 99% of people, yes, but you did not score better than 100%. –  Nick Craver Mar 23 '12 at 14:01
    
@NickCraver Looks reasonable if its percentile. But, why is % symbol used? –  Sachin Shekhar Mar 23 '12 at 14:35
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The top 2%, by definition, are the users whose rep change is above the 98th percentile. The top 1% are those above the 99th percentile. At 98.9, your rep change is below the 99th percentile, but above the 98th. Thus, you're in the top 2%, but not in the top 1%. –  balpha Mar 23 '12 at 14:52
    
@balpha Thanks.. I have added you comment in answer. –  Sachin Shekhar Mar 23 '12 at 15:02
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