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Income Taxes (Summary of Activity Related to Unrecognized Tax Benefits) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2019
Sep. 30, 2018
Oct. 01, 2017
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]      
Beginning balance $ 224.6 $ 196.9 $ 146.5
Increase related to prior year tax positions 3.8 17.5 10.4
Decrease related to prior year tax positions (75.3) (41.8) 0.0
Increase related to current year tax positions 18.5 62.4 41.3
Decreases related to settlements with taxing authorities (16.4) (4.5) 0.0
Decreases related to lapsing of statute of limitations (23.1) (5.9) (1.3)
Ending balance 132.1 $ 224.6 $ 196.9
Maximum [Member]      
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]      
Amount of reasonably possible unrecognized benefit change $ 29.0