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Borrowings and Credit Arrangements - Interest Expense Senior Notes (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Sep. 24, 2016
Debt Instrument [Line Items]      
Non-cash interest expense $ 15.0 $ 49.4 $ 52.1
2025 Senior Notes      
Debt Instrument [Line Items]      
Interest rate 4.375%    
Senior Notes      
Debt Instrument [Line Items]      
Interest expense $ 69.2 57.3 56.0
Non-cash interest expense 3.6 3.9 3.8
Senior Notes | 2028 Senior Notes      
Debt Instrument [Line Items]      
Interest expense 13.3 0.0 0.0
Non-cash interest expense $ 0.5 0.0 0.0
Interest rate 4.625%    
Senior Notes | 2025 Senior Notes      
Debt Instrument [Line Items]      
Interest expense $ 34.7 0.0 0.0
Non-cash interest expense $ 1.6 0.0 0.0
Interest rate 4.375%    
Senior Notes | 2022 Senior Notes      
Debt Instrument [Line Items]      
Interest expense $ 21.2 57.3 56.0
Non-cash interest expense $ 1.5 $ 3.9 $ 3.8
Interest rate 5.25%