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Goodwill and Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2016
Sep. 30, 2016
Goodwill (not amortized), Net Book Value $ 1,159,492 $ 1,169,813
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] 746,151 756,132
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 452,424 445,827
Intangible assets with finite lives (amortized), Net Book Value [1] 293,727 310,305
Intangible Assets, Net (Including Goodwill) 1,453,219 1,480,118
Purchased Software    
Intangible assets with finite lives (amortized), Gross Carrying Amount 351,032 354,595
Intangible assets with finite lives (amortized), Accumulated Amortization 202,266 199,192
Intangible assets with finite lives (amortized), Net Book Value [1] $ 148,766 155,403
Acquired finite-lived intangible asset, weighted average useful life 9 years  
Capitalized Software    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 22,877 22,877
Intangible assets with finite lives (amortized), Accumulated Amortization 22,877 22,877
Intangible assets with finite lives (amortized), Net Book Value [1] 0 0
Customer Lists and Relationships    
Intangible assets with finite lives (amortized), Gross Carrying Amount 349,593 355,698
Intangible assets with finite lives (amortized), Accumulated Amortization 210,132 206,515
Intangible assets with finite lives (amortized), Net Book Value [1] $ 139,461 149,183
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Trademarks and Trade Names    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 18,789 19,007
Intangible assets with finite lives (amortized), Accumulated Amortization 13,289 13,323
Intangible assets with finite lives (amortized), Net Book Value [1] $ 5,500 5,684
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Other    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 3,860 3,955
Intangible assets with finite lives (amortized), Accumulated Amortization 3,860 3,920
Intangible assets with finite lives (amortized), Net Book Value [1] $ 0 $ 35
Acquired finite-lived intangible asset, weighted average useful life 3 years  
[1] The weighted average useful lives of purchased 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.