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Borrowings and Credit Arrangements - Interest Expense Senior Notes (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 28, 2019
Sep. 29, 2018
Sep. 30, 2017
Debt Instrument [Line Items]      
Non-cash interest expense $ 8.6 $ 15.0 $ 49.4
Senior Notes      
Debt Instrument [Line Items]      
Interest expense 62.7 69.2 57.3
Non-cash interest expense 2.8 3.6 3.9
Senior Notes | 2028 Senior Notes      
Debt Instrument [Line Items]      
Interest expense 19.2 13.3 0.0
Non-cash interest expense $ 0.7 0.5 0.0
Interest rate (percent) 4.625%    
Senior Notes | 2025 Senior Notes      
Debt Instrument [Line Items]      
Interest expense $ 43.5 34.7 0.0
Non-cash interest expense $ 2.1 1.6 0.0
Interest rate (percent) 4.375%    
Senior Notes | 2022 Senior Notes      
Debt Instrument [Line Items]      
Interest expense $ 0.0 21.2 57.3
Non-cash interest expense $ 0.0 $ 1.5 $ 3.9
Interest rate (percent)   5.25%