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Goodwill and Acquired Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Jul. 02, 2016
Sep. 30, 2015
Goodwill (not amortized), Net Book Value $ 1,182,772 $ 1,169,813 $ 1,169,660 $ 1,069,041
Intangible assets with finite lives (amortized), Gross Carrying Amount 768,932 756,132    
Intangible assets with finite lives (amortized), Accumulated Amortization 511,024 445,827    
Intangible assets with finite lives (amortized), Net Book Value 257,908 310,305    
Total goodwill and acquired intangible assets 1,440,680 1,480,118    
Purchased Software [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] 362,955 354,595    
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 228,377 199,192    
Intangible assets with finite lives (amortized), Net Book Value [1] $ 134,578 155,403    
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] 359,932 355,698    
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 241,554 206,515    
Intangible assets with finite lives (amortized), Net Book Value [1] $ 118,378 149,183    
Weighted average useful lives (in years) 10 years      
Trademarks And Trade Names [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] $ 19,138 19,007    
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 14,186 13,323    
Intangible assets with finite lives (amortized), Net Book Value [1] $ 4,952 5,684    
Weighted average useful lives (in years) 10 years      
Other [Member]        
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] $ 4,030 3,955    
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 4,030 3,920    
Intangible assets with finite lives (amortized), Net Book Value [1] $ 0 $ 35    
[1] The weighted average useful lives of purchased software, customer lists and relationships, and trademarks and trade names with a remaining net book value are 9 years, 10 years, and 10 years, respectively.