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Goodwill and Acquired Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2016
Jul. 02, 2016
Sep. 30, 2015
Sep. 30, 2014
Goodwill (not amortized), Net Book Value $ 1,169,813 $ 1,169,660 $ 1,069,041 $ 1,012,527
Intangible assets with finite lives (amortized), Gross Carrying Amount 756,132   679,552  
Intangible assets with finite lives (amortized), Accumulated Amortization 445,827   388,251  
Intangible assets with finite lives (amortized), Net Book Value 310,305   291,301  
Total goodwill and acquired intangible assets 1,480,118   1,360,342  
Purchased Software [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] 354,595   284,257  
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 199,192   174,887  
Intangible assets with finite lives (amortized), Net Book Value [1] $ 155,403   109,370  
Weighted average useful lives (in years) 9 years      
Capitalized Software [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] $ 22,877   22,877  
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 22,877   22,877  
Intangible assets with finite lives (amortized), Net Book Value [1] 0   0  
Customer Lists [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] 355,698   349,938  
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 206,515   174,017  
Intangible assets with finite lives (amortized), Net Book Value [1] $ 149,183   175,921  
Weighted average useful lives (in years) 10 years      
Trademarks And Trade Names [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] $ 19,007   18,534  
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 13,323   12,759  
Intangible assets with finite lives (amortized), Net Book Value [1] $ 5,684   5,775  
Weighted average useful lives (in years) 10 years      
Other [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] $ 3,955   3,946  
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 3,920   3,711  
Intangible assets with finite lives (amortized), Net Book Value [1] $ 35   $ 235  
Weighted average useful lives (in years) 3 years      
[1] The weighted average useful lives of purchased software, capitalized software, customer lists and relationships, trademarks and trade names and other intangible assets with a remaining net book value are 9 years, 10 years, 10 years and 3 years, respectively.