I don't quite understand your sheet.
Why are all your dates the first of the month until May'11, then they are the end of the month?
This doesn't seem to fit with the result you are expecting in B4, based on the dates in B2:C2.
You seem to have PartA derived from a percentage of the total.
Should this not be that PartA/Total gives you the % met, as your calcs in B4 & B5 suggest?
Try this in B4
=SUMIFS(Summary1!C:C,Summary1!A:A,">="&$B$2,Summary1!A:A,"<="&$C$2)/SUMIFS(Summary1!B:B,Summary1!A:A,">="&$B$2,Summary1!A:A,"<="&$C$2)
"<=" might have to be "<" if the date in C2 is meant to be 1-Sept-11
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