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Employee Stock Purchase and Stock Option Plans (Information Regarding Options Outstanding, and Options Exercisable) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Sep. 26, 2014
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Nonvested not yet recognized $ 83.7      
Options exercisable, weighted average remaining contractual term (in years) 4 years 9 months 19 days      
Range of exercise prices, minimum (in dollars per share) $ 32.51 $ 32.51 $ 32.51  
Range of exercise prices, maximum (in dollars per share) $ 80.63 $ 80.63 $ 80.63  
Options outstanding number (in shares) 2,516,825 3,577,512 4,072,707 4,221,147
Options outstanding weighted average remaining contractual life (in years) 5 years 4 months 13 days      
Options outstanding weighted average price (in dollars per share) $ 46.19 $ 45.69 $ 46.06 $ 53.23
Options exercisable (in shares) 1,992,022      
Options exercisable weighted average exercise price (in dollars per share) $ 46.78      
$32.51 - $37.03        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of exercise prices, minimum (in dollars per share) 32.51      
Range of exercise prices, maximum (in dollars per share) $ 37.03      
Options outstanding number (in shares) 247,875      
Options outstanding weighted average remaining contractual life (in years) 4 years 5 months 20 days      
Options outstanding weighted average price (in dollars per share) $ 36.99      
Options exercisable (in shares) 247,875      
Options exercisable weighted average exercise price (in dollars per share) $ 36.99      
$37.43 - $46.09        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of exercise prices, minimum (in dollars per share) 37.43      
Range of exercise prices, maximum (in dollars per share) $ 46.09      
Options outstanding number (in shares) 1,360,188      
Options outstanding weighted average remaining contractual life (in years) 5 years 7 months 17 days      
Options outstanding weighted average price (in dollars per share) $ 42.69      
Options exercisable (in shares) 890,206      
Options exercisable weighted average exercise price (in dollars per share) $ 42.65      
$47.11 - $55.13        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of exercise prices, minimum (in dollars per share) 47.11      
Range of exercise prices, maximum (in dollars per share) $ 55.13      
Options outstanding number (in shares) 836,812      
Options outstanding weighted average remaining contractual life (in years) 5 years 3 months 18 days      
Options outstanding weighted average price (in dollars per share) $ 52.81      
Options exercisable (in shares) 788,116      
Options exercisable weighted average exercise price (in dollars per share) $ 52.80      
$60.08 - $80.63        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of exercise prices, minimum (in dollars per share) 60.08      
Range of exercise prices, maximum (in dollars per share) $ 80.63      
Options outstanding number (in shares) 71,950      
Options outstanding weighted average remaining contractual life (in years) 4 years 2 months 23 days      
Options outstanding weighted average price (in dollars per share) $ 66.92      
Options exercisable (in shares) 65,825      
Options exercisable weighted average exercise price (in dollars per share) $ 67.52