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Goodwill and Intangible Assets (Schedule of Intangible Assets Excluding Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2016
Oct. 02, 2015
Intangible Assets Excluding Goodwill [Line Items]    
Gross carrying amount $ 213.9 $ 158.5
Accumulated amortization (146.9) (113.5)
Net carrying amount 67.0 45.0
Trademarks [Member]    
Intangible Assets Excluding Goodwill [Line Items]    
Indefinite-lived trademarks, gross carrying amounts 1.6 1.6
Indefinite-lived intangible assets, net carrying amount $ 1.6 1.6
Customer Relationships [Member]    
Intangible Assets Excluding Goodwill [Line Items]    
Weighted average amortization period remaining (years) 4 years 2 months 12 days  
Gross carrying amount $ 78.5 57.2
Accumulated amortization (57.7) (48.7)
Net carrying amount $ 20.8 8.5
Developed Technology and Other [Member]    
Intangible Assets Excluding Goodwill [Line Items]    
Weighted average amortization period remaining (years) 5 years 9 months 18 days  
Gross carrying amount $ 133.8 99.7
Accumulated amortization (89.2) (64.8)
Net carrying amount $ 44.6 $ 34.9