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Income Taxes (Summary of Activity Related to Unrecognized Tax Benefits) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]      
Beginning balance $ 146.5 $ 150.4 $ 112.7
Increase related to prior year tax positions 10.4 0.0 7.9
Decrease related to prior year tax positions 0.0 (23.6) (0.9)
Increase related to current year tax positions 41.3 33.7 32.0
Decrease related to current year tax positions 0.0 0.0 (0.6)
Decreases related to settlements with taxing authorities 0.0 (3.1) (0.7)
Decreases related to lapsing of statute of limitations (1.3) (10.9) 0.0
Ending balance 196.9 $ 146.5 $ 150.4
Minimum [Member]      
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]      
Amount of reasonably possible unrecognized benefit change 42.0    
Maximum [Member]      
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]      
Amount of reasonably possible unrecognized benefit change $ 75.0