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Goodwill and Intangible Assets (Changes in Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Goodwill [Roll Forward]    
Goodwill at beginning of the period $ 873.3 $ 856.7
Goodwill recognized through business combinations 9.7 16.6
Goodwill adjustments 0.0 0.0
Goodwill impairment 0.0 0.0
Goodwill at end of the period $ 883.0 $ 873.3