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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 28, 2018
Oct. 28, 2018
Oct. 29, 2017
Oct. 30, 2016
Income Tax Disclosure [Abstract]        
Phased-in blended income tax rate   23.40% 35.00% 35.00%
Tax Cuts and Jobs Act of 2017, net tax benefit   $ 72.9    
Tax Cuts and Jobs Act of 2017, tax benefit, re-measurement of deferred tax liabilities   81.2    
Tax Cuts and Jobs Act of 2017, tax expense, transition tax and other U.S. tax law changes   8.3    
Foreign earnings repatriated $ 105.9     $ 38.0
Foreign tax benefit       12.1
Income taxes paid   147.5 $ 336.0 $ 372.0
Portion of unrecognized tax benefit including interest and penalties, that if recognized, would impact effective tax rate 26.3 26.3 20.2  
Interest and penalties expense related to uncertain tax positions recognized in income tax expense   0.6 0.1  
Accrued interest and penalties, associated with unrecognized tax benefits $ 6.5 $ 6.5 $ 7.1