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Borrowings and Credit Arrangements - Convertible Notes and Related Equity Components (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 24, 2016
Jul. 01, 2017
Schedule Of Borrowings [Line Items]      
Notes principal amount     $ 100.0
Two Thousand And Ten Notes [Member]      
Schedule Of Borrowings [Line Items]      
Notes principal amount $ 0.0 $ 12.3  
Unamortized discount and issuance costs 0.0 (0.1)  
Net carrying amount 0.0 12.2  
Equity component, net of taxes 0.0 1.6  
Two Thousand And Twelve Notes [Member]      
Schedule Of Borrowings [Line Items]      
Notes principal amount 245.4 363.4  
Unamortized discount and issuance costs (1.9) (9.5)  
Net carrying amount 243.5 353.9  
Equity component, net of taxes 24.1 35.8  
Two Thousand And Thirteen Notes [Member]      
Schedule Of Borrowings [Line Items]      
Notes principal amount 202.0 370.0  
Unamortized discount and issuance costs (1.8) (17.5)  
Net carrying amount 241.0 409.6  
Equity component, net of taxes 71.8 131.5  
Principal accretion $ 40.8 $ 57.1