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Share-Based Compensation - Performance Stock Units Activity (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
12 Months Ended
Sep. 27, 2019
Sep. 28, 2018
Sep. 29, 2017
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Allocated share-based compensation expense $ (55.3) $ (88.3) $ (65.2)
Performance Stock Units (PSUs)      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Beginning balance (in shares) 1,614    
Granted (in shares) 1,299    
Vested (in shares) (1,051)    
Forfeited (in shares) (241)    
Ending balance (in shares) 1,621 1,614  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Weighted Average Grant Date Fair Value, Beginning (in dollars per shares) $ 34.99    
Weighted Average Grant Date Fair Value, Granted (in dollars per shares) 36.44    
Weighted Average Grant Date Fair Value, Vested (in dollars per shares) 32.65    
Weighted Average Grant Date Fair Value, Forfeited (in dollars per shares) 36.66    
Weighted Average Grant Date Fair Value, Ending (in dollars per shares) $ 36.20 $ 34.99  
Performance Stock Units (PSUs) | 2016 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted (in shares) 500    
Performance Stock Units (PSUs)      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Allocated share-based compensation expense $ (9.9) $ (43.7) $ (21.6)
Performance Stock Units (PSUs) | 2018 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Allocated share-based compensation expense 6.6 $ 18.9  
Performance Stock Units (PSUs) | 2017 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Allocated share-based compensation expense $ 5.2