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Goodwill and Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 29, 2018
Sep. 30, 2018
Goodwill (not amortized), Net Book Value $ 1,230,901 $ 1,182,457
Intangible assets with finite lives (amortized), Gross Carrying Amount 780,910 766,199
Intangible assets with finite lives (amortized), Accumulated Amortization 575,826 565,997
Intangible assets with finite lives (amortized), Net Book Value 205,084 200,202
Intangible Assets, Net (Including Goodwill) 1,435,985 1,382,659
Purchased software    
Intangible assets with finite lives (amortized), Gross Carrying Amount 379,653 362,679
Intangible assets with finite lives (amortized), Accumulated Amortization 259,850 254,059
Intangible assets with finite lives (amortized), Net Book Value $ 119,803 108,620
Acquired finite-lived intangible asset, weighted average useful life 10 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 355,412 357,586
Intangible assets with finite lives (amortized), Accumulated Amortization 274,239 270,272
Intangible assets with finite lives (amortized), Net Book Value $ 81,173 87,314
Acquired finite-lived intangible asset, weighted average useful life 10 years  
Trademarks and trade names    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 18,987 19,054
Intangible assets with finite lives (amortized), Accumulated Amortization 14,879 14,786
Intangible assets with finite lives (amortized), Net Book Value $ 4,108 4,268
Acquired finite-lived intangible asset, weighted average useful life 11 years  
Other    
Intangible assets with finite lives (amortized), Gross Carrying Amount $ 3,981 4,003
Intangible assets with finite lives (amortized), Accumulated Amortization 3,981 4,003
Intangible assets with finite lives (amortized), Net Book Value $ 0 $ 0