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Goodwill and Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
9 Months Ended
Jun. 30, 2018
Sep. 30, 2017
Goodwill (not amortized), Net Book Value $ 1,182,462 $ 1,182,772
Intangible assets with finite lives (amortized), Gross Carrying Amount 766,866 768,932
Intangible assets with finite lives (amortized), Accumulated Amortization 552,209 511,024
Intangible assets with finite lives (amortized), Net Book Value 214,657 257,908
Intangible Assets, Net (Including Goodwill) 1,397,119 1,440,680
Purchased software    
Intangible assets with finite lives (amortized), Gross Carrying Amount 362,992 362,955
Intangible assets with finite lives (amortized), Accumulated Amortization 247,694 228,377
Intangible assets with finite lives (amortized), Net Book Value $ 115,298 134,578
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 0 0
Customer lists and relationships    
Intangible assets with finite lives (amortized), Gross Carrying Amount 357,904 359,932
Intangible assets with finite lives (amortized), Accumulated Amortization 262,982 241,554
Intangible assets with finite lives (amortized), Net Book Value $ 94,922 118,378
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Trademarks and trade names    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 19,080 19,138
Intangible assets with finite lives (amortized), Accumulated Amortization 14,643 14,186
Intangible assets with finite lives (amortized), Net Book Value $ 4,437 4,952
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Other    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 4,013 4,030
Intangible assets with finite lives (amortized), Accumulated Amortization 4,013 4,030
Intangible assets with finite lives (amortized), Net Book Value $ 0 $ 0