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Intangible Assets Additional Information (Details) - USD ($)
$ in Millions
Apr. 01, 2017
Sep. 24, 2016
Product Line [Line Items]    
Accumulated Amortization $ 2,552.2 $ 2,681.5
Acquired Finite-lived Intangible Asset, Residual Value 994.0  
Developed technology    
Product Line [Line Items]    
Finite-Lived Intangible Assets, Net 154.0  
Accumulated Amortization 2,028.2 1,991.6
Customer relationships    
Product Line [Line Items]    
Finite-Lived Intangible Assets, Net 387.7  
Accumulated Amortization $ 374.7 $ 546.2