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Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Mar. 29, 2019
Sep. 28, 2018
Other Intangible Assets    
Gross Amount $ 3,272,329 $ 3,295,040
Accumulated Amortization (1,184,688) (1,158,196)
Net Amount 2,087,641 2,136,844
Customer relationship assets    
Other Intangible Assets    
Gross Amount 2,225,366 2,244,215
Accumulated Amortization (1,182,303) (1,156,811)
Net Amount 1,043,063 1,087,404
Trade name    
Other Intangible Assets    
Gross Amount 1,046,963 1,050,825
Accumulated Amortization (2,385) (1,385)
Net Amount $ 1,044,578 $ 1,049,440