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Business Combinations Recognized Identifiable Assets Acquired and Liabilities Assumed (Details) - USD ($)
$ in Millions
Sep. 28, 2018
Aug. 17, 2018
Sep. 29, 2017
Sep. 30, 2016
Business Combinations [Abstract]        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables   $ 7.3    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory   9.8    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment   1.5    
Business Combinations, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current and Noncurrent Assets, Other   11.7    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill   94.0    
Goodwill $ 1,189.8 306.8 $ 883.0 $ 873.3
Business Combinations, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current and Noncurrent Liabilities   (24.0)    
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Less Noncontrolling Interest   $ 407.1