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Stockholders' Equity and Stock-Based Compensation - Stock Option Activity (Detail) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2017
Sep. 29, 2018
Sep. 30, 2017
Sep. 24, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted   1.7    
Number of Shares (in millions)        
Options outstanding at September 30, 2017   5.5    
Granted 1.0 1.7   1.1
Canceled/ forfeited   (0.4)    
Exercised   (0.8)    
Options outstanding at September 29, 2018 5.5 6.0 5.5  
Options exercisable at September 29, 2018   2.8    
Options vested and expected to vest at September 29, 2018 (1)   5.9    
Weighted- Average Exercise Price        
Options outstanding at September 30, 2017   $ 28.15    
Granted $ 38.07 40.76   $ 39.32
Canceled/ forfeited   36.22    
Exercised   21.72    
Options outstanding at September 29, 2018 $ 28.15 32.13 $ 28.15  
Options exercisable at September 29, 2018   26.47    
Options vested and expected to vest at September 29, 2018 (1)   $ 32.08    
Weighted- Average Remaining Contractual Life (in Years)        
Options outstanding at September 30, 2017 5 years 5 months 11 days 5 years 10 months 11 days    
Options exercisable at September 29, 2018   3 years 8 months 12 days    
Options vested and expected to vest at September 29, 2018 (1)   5 years 10 months 29 days    
Options outstanding at September 29, 2018 5 years 5 months 11 days 5 years 10 months 11 days    
Aggregate Intrinsic Value (in millions)        
Options outstanding at September 30, 2017   $ 50.3    
Exercised $ 25.9 15.2   $ 21.6
Options outstanding at September 29, 2018 $ 50.3 53.3 $ 50.3  
Options exercisable at September 29, 2018   40.8    
Options vested and expected to vest at September 29, 2018 (1)   $ 52.8    
Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted 0.2 0.6   0.3
Market Based Stock Units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted   0.3 0.1