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GOODWILL AND OTHER INTANGIBLE ASSETS-NET - Intangible Assets (Details) - USD ($)
$ in Millions
 6 Months Ended
Apr. 29, 2018
Oct. 29, 2017
Apr. 30, 2017
Amortized intangible assets:      
Total at cost $ 1,699.0 $ 181.0 $ 168.0
Less accumulated amortization 130.0 86.0 77.0
Total amortized intangible assets - net 1,569.0 95.0 91.0
Unamortized intangible assets:      
Other intangible assets - net $ 1,692.2 218.0 90.8
Customer Lists and Relationships      
Amortized intangible assets:      
Weighted-average useful lives 16 years    
Total at cost $ 590.0 42.0 39.0
Less accumulated amortization $ 30.0 17.0 15.0
Technology, Patents, Trademarks, and Other      
Amortized intangible assets:      
Weighted-average useful lives 18 years    
Total at cost $ 1,109.0 139.0 129.0
Less accumulated amortization 100.0 69.0 $ 62.0
In-process Research and Development      
Unamortized intangible assets:      
Unamortized intangible assets $ 123.0 $ 123.0