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Stockholders' Equity and Stock-Based Compensation - Stock Option Activity (Detail) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 24, 2016
Sep. 26, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted 1.0    
Number of Shares (in millions)      
Options outstanding at September 24, 2016 6.1    
Granted 1.0 1.1 1.3
Canceled/ forfeited (0.2)    
Exercised (1.4)    
Options outstanding at September 30, 2017 5.5 6.1  
Options exercisable at September 30, 2017 2.6    
Options vested and expected to vest at September 30, 2017 (1) 5.4    
Weighted- Average Exercise Price      
Options outstanding at September 24, 2016 $ 25.37    
Granted 38.07 $ 39.32 $ 27.68
Canceled/ forfeited 30.59    
Exercised 23.25    
Options outstanding at September 24, 2016 28.15 $ 25.37  
Options exercisable at September 30, 2017 23.31    
Options vested and expected to vest at September 30, 2017 (1) $ 28.09    
Weighted- Average Remaining Contractual Life (in Years)      
Options outstanding at September 24, 2016 5 years 5 months 11 days 4 years 10 months 12 days  
Options exercisable at September 30, 2017 3 years 7 months 12 days    
Options vested and expected to vest at September 30, 2017 (1) 5 years 5 months 29 days    
Options outstanding at September 30, 2017 5 years 5 months 11 days 4 years 10 months 12 days  
Aggregate Intrinsic Value (in millions)      
Options outstanding at September 24, 2016 $ 80.1    
Exercised 25.9 $ 21.6 $ 42.0
Options outstanding at September 30, 2017 50.3 $ 80.1  
Options exercisable at September 30, 2017 34.8    
Options vested and expected to vest at September 30, 2017 (1) $ 50.0    
Performance Shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted 0.2 0.2 0.3
Market Based Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted 0.1