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Goodwill and Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
6 Months Ended
Apr. 02, 2016
Sep. 30, 2015
Goodwill (not amortized), Net Book Value $ 1,172,772 $ 1,069,041
Intangible assets with finite lives (amortized), Gross Carrying Amount [1] 757,344 679,552
Intangible assets with finite lives (amortized), Accumulated Amortization [1] 418,700 388,251
Intangible assets with finite lives (amortized), Net Book Value [1] 338,644 291,301
Intangible Assets, Net (Including Goodwill) 1,511,416 1,360,342
Purchased Software    
Intangible assets with finite lives (amortized), Gross Carrying Amount 354,482 284,257
Intangible assets with finite lives (amortized), Accumulated Amortization 187,446 174,887
Intangible assets with finite lives (amortized), Net Book Value [1] $ 167,036 109,370
Acquired finite-lived intangible asset, weighted average useful life 7 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 356,883 349,938
Intangible assets with finite lives (amortized), Accumulated Amortization 191,439 174,017
Intangible assets with finite lives (amortized), Net Book Value [1] $ 165,444 175,921
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Trademarks and Trade Names    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 19,128 18,534
Intangible assets with finite lives (amortized), Accumulated Amortization 13,087 12,759
Intangible assets with finite lives (amortized), Net Book Value [1] $ 6,041 5,775
Acquired finite-lived intangible asset, weighted average useful life 9 years  
Other    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 3,974 3,946
Intangible assets with finite lives (amortized), Accumulated Amortization 3,851 3,711
Intangible assets with finite lives (amortized), Net Book Value [1] $ 123 $ 235
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 7 years, 10 years, 9 years, and 3 years, respectively.