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Debt (Components of Long-Term Debt Including Associated Interest Rates and Related Fair Values) (Details) - USD ($)
$ in Millions
Mar. 27, 2016
Sep. 27, 2015
Debt Instrument [Line Items]    
Total, Face Value $ 2,850.0 $ 2,350.0
Aggregate unamortized discount 2.6 2.5
Total, Carrying Value, net of aggregate unamortized discount 2,847.4 2,347.5
Total, Estimated Fair Value 2,970.0 2,402.0
Point Eight Seven Five Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 400.0 400.0
Stated Interest Rate 0.875%  
Effective Interest Rate [1] 0.941%  
Two Point Zero Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 350.0 350.0
Stated Interest Rate 2.00%  
Effective Interest Rate [1] 2.012%  
Two Point One Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 500.0 0.0
Stated Interest Rate 2.10%  
Effective Interest Rate [1] 2.293%  
Two Point Seven Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 500.0 500.0
Stated Interest Rate 2.70%  
Effective Interest Rate [1] 2.819%  
Three Point Eight Five Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 750.0 750.0
Stated Interest Rate 3.85%  
Effective Interest Rate [1] 2.86%  
Four Point Three Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Value $ 350.0 350.0
Stated Interest Rate 4.30%  
Effective Interest Rate [1] 4.348%  
Fair Value, Inputs, Level 2 [Member] | Point Eight Seven Five Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value $ 400.0 400.0
Fair Value, Inputs, Level 2 [Member] | Two Point Zero Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value 356.0 354.0
Fair Value, Inputs, Level 2 [Member] | Two Point One Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value 506.0 0.0
Fair Value, Inputs, Level 2 [Member] | Two Point Seven Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value 510.0 503.0
Fair Value, Inputs, Level 2 [Member] | Three Point Eight Five Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value 814.0 790.0
Fair Value, Inputs, Level 2 [Member] | Four Point Three Percentage Senior Notes [Member]    
Debt Instrument [Line Items]    
Estimated Fair Value $ 384.0 $ 355.0
[1] Includes the effects of the amortization of any premium or discount and any gain or loss upon settlement of related treasury locks or forward-starting interest rate swaps utilized to hedge the interest rate risk prior to the debt issuance.