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Business Combinations (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Business Acquisition [Line Items]      
Payments for acquisitions, net of cash acquired $ 13.7 $ 55.6 $ 24.6
Consideration transferred 24.8    
Contingent consideration arrangements, low range of outcomes 0.0    
Contingent consideration arrangements, high range of outcomes 20.0    
Contingent consideration liability recorded for business combinations 10.7    
Goodwill recognized through business combinations 9.7 16.6  
Identifiable intangible assets 16.4    
Merger termination fee $ 0.0 $ 88.5 $ 0.0
Patents and Other [Member]      
Business Acquisition [Line Items]      
Useful life 5 years