PrecisionCalc
xl
Precision
Get Your Numbers Right
xlpRANK
Returns the rank of a number, according to size, in a cell range, with up to 32,767 significant digits of precision. Same as Excel's builtin RANK function, but with high precision.
If two or more numbers in numlist match num, both numbers have the same rank, and subsequent rankings are skipped according to how many numbers are tied. One fewer rankings are skipped than the number of matches  if two numbers in numlist match num, one subsequent ranking is skipped; if three numbers match, two rankings are skipped, etc. For example:
 If numlist consists of the numbers 10, 20, and 30, their rankings are 3, 2, and 1.
No tie compensation, because there were no ties.
 If numlist consists of the numbers 10, 20, 20, and 30, their rankings are 4, 2, 2, and 1.
There are two numbers in a tie (20 and 20), so one ranking (rank #3) is skipped.
 If numlist consists of the numbers 10, 20, 20, 20, and 30, their rankings are 5, 2, 2, 2, and 1.
There are three numbers in a tie (20, 20, and 20), so two rankings (ranks #3 and #4) are skipped.
 If numlist consists of the numbers 10, 20, 20, 20, 30, 30, and 40, their rankings are 7, 4, 4, 4, 2, 2, and 1.
 There are three numbers in one tie (20, 20, and 20), and two numbers in another tie (30 and 30):
 There are three numbers in one tie (20, 20, and 20), so two rankings (ranks #5 and #6) are skipped.
 There are two numbers in another tie (20 and 20), so one ranking (rank #3) is skipped.
Syntax
xlpRANK(num,numlist,ascending,tie_compensation)
num  Required. The number in numlist for which to return its rank. 
numlist  Required. The range of cells with numbers. 
ascending  Optional. Determines whether to rank num according to ascending order or descending order. If True, ranks according to ascending order. If False, ranks according to descending order. False by default. 
tie_compensation  Optional. Determines whether
to increment ranking for ties  when two or more numbers in numlist match
num. tie_compensation averages the rankings that tied numbers would have received if tied numbers were given different ranks. For example, if two numbers are tied and the ranks that would have applied to them are 3 and 4, tie_compensation averages their rank to 3.5. Without tie compensation, both would be ranked 3. If three numbers are tied and their ranks would have been 5, 6, and 7, their ranks are averaged to 6, instead of giving all three of them a rank of 5. If True, rank is incremented by half of one less than the quantity of numbers in the tie. For example:
If False, no tie compensation is applied. False by default. 
Remarks
numlist can accept cells with both numbers and text.
numlist can accept cells with text formatted with the local currency symbol and thousands separators, and negatives can be formatted with either a leading hyphen or parentheses.
Examples
Formula  Description  Result  
=xlpRANK(A2,A1:C5)

The rank of the number in cell A2 among the numbers in A1:C5.  3  
=xlpRANK(A2,A1:C5,TRUE)

The rank of the number in cell A2 among the numbers in A1:C5, ranked according to ascending order.  11  
=xlpRANK(C2,A1:C5)

The rank of the number in cell C2 among the numbers in A1:C5.  2  
=xlpRANK(C2,A1:C5,,TRUE)

The rank of the number in cell C2 among the numbers in A1:C5, with tie compensation.  2.5  
=xlpRANK(A5,A1:C5)

The rank of the number in cell A5 among the numbers in A1:C5.  7  
=xlpRANK(A5,A1:C5,,TRUE)

The rank of the number in cell A5 among the numbers in A1:C5, with tie compensation.  8  
=xlpRANK(A16,A1:A17)

The rank of the number in cell A16 among the numbers in A1:A17.  11  
=xlpRANK(A16,A1:A17,,TRUE)

The rank of the number in cell A16 among the numbers in A1:A17, with tie compensation.  12 
See Also