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Borrowings and Credit Arrangements - Interest Expense Credit Agreement (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Sep. 24, 2016
Line of Credit Facility [Line Items]      
Non-cash interest expense $ 15.0 $ 49.4 $ 52.1
Amended and Restated Credit Agreement      
Line of Credit Facility [Line Items]      
Interest expense 60.8 42.3 40.4
Non-cash interest expense $ 2.6 $ 4.2 $ 4.4
Weighted average interest rate 3.23% 2.39% 2.08%
Interest rate at end of period 3.74% 2.73% 2.05%