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Stock-Based Compensation (Narrative) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Sep. 27, 2014
Sep. 28, 2013
Sep. 29, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for future grant 30,428,186    
Stock Options [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Expiration period 10 years    
Grant-date fair value of options granted $ 10.83 $ 6.44 $ 6.99
Stock-based compensation expense, net of income taxes $ 20.0 $ 14.0 $ 15.0
Related tax benefit 13.0 9.0 10.0
Options vested (in shares) 4,800,000 3,900,000 3,400,000
Grant date fair value of options vested 30 22 17
Cash received from exercise of stock options 67 123 34
Tax benefit related to stock options exercised 33 35 7
Total intrinsic value of options exercised 87 90 21
Amount realized, related to excess tax deductions 24 18 3
Total unrecognized compensation cost related to stock option plans 35    
Total unrecognized compensation cost, time frame for recognition, weighted average number of years 1 year 5 months    
Restricted Stock [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense, net of income taxes 6.0 5.0 7.0
Related tax benefit 4.0 3.0 4.0
Total unrecognized compensation cost related to share-based awards other than options 10    
Total unrecognized compensation cost, time frame for recognition, weighted average number of years 1 year 2 months    
Number of Shares - Vested (584,360) (1,400,000) (1,200,000)
Restricted stock awards, grant date fair value of shares vested 11 20 17
Performance Shares [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Stock-based compensation expense, net of income taxes 3.8 2.4 0.2
Related tax benefit 2.5 1.5 0.1
Total unrecognized compensation cost related to share-based awards other than options $ 9    
Total unrecognized compensation cost, time frame for recognition, weighted average number of years 1 year 6 months    
Number of Shares - Vested (42,282)    
Performance Shares [Member] | Minimum [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting rights, performance criteria 0.00%    
Performance Shares [Member] | Maximum [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting rights, performance criteria 200.00%