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PROPERTY AND DEPRECIATION (Details) - USD ($)
$ in Millions
 12 Months Ended
Oct. 28, 2018
Oct. 29, 2017
Oct. 30, 2016
Summary of property and equipment      
Property and equipment - net $ 5,867.5 $ 5,067.7 $ 5,171.0
Property and equipment, additions 985.0 602.0 674.0
Depreciation 754.0 726.0 701.0
Capitalized interest 4.0 3.0 3.0
Leased property and equipment under capital leases, at cost 52.0 40.0  
Accumulated depreciation on leased property and equipment under capital leases $ 22.0 15.0  
Capitalized computer software estimated useful life 3 years    
Capitalized software costs, including purchased and internally developed software $ 1,207.0 1,078.0  
Capitalized software, accumulated amortization 910.0 826.0  
Capitalized interest on software 3.0 1.0  
Amortization of capitalized computer software costs 145.0 118.0 $ 102.0
Equipment Operations      
Summary of property and equipment      
Total property and equipment at cost 12,916.0 11,843.0  
Less accumulated depreciation 7,095.0 6,826.0  
Property and equipment - net 5,820.6 5,017.3  
Equipment Operations | Land      
Summary of property and equipment      
Total property and equipment at cost $ 283.0 122.0  
Equipment Operations | Buildings and Building Equipment      
Summary of property and equipment      
Weighted-average useful lives 23 years    
Total property and equipment at cost $ 3,848.0 3,396.0  
Equipment Operations | Machinery and Equipment      
Summary of property and equipment      
Weighted-average useful lives 11 years    
Total property and equipment at cost $ 5,570.0 5,378.0  
Equipment Operations | Dies, Patterns, Tools, etc      
Summary of property and equipment      
Weighted-average useful lives 8 years    
Total property and equipment at cost $ 1,564.0 1,647.0  
Equipment Operations | All Other      
Summary of property and equipment      
Weighted-average useful lives 5 years    
Total property and equipment at cost $ 1,032.0 942.0  
Equipment Operations | Construction in Progress      
Summary of property and equipment      
Total property and equipment at cost 619.0 358.0  
Financial Services      
Summary of property and equipment      
Total property and equipment at cost 112.0 116.0  
Less accumulated depreciation 65.0 65.0  
Property and equipment - net 46.9 50.4  
Financial Services | Land      
Summary of property and equipment      
Total property and equipment at cost $ 4.0 4.0  
Financial Services | Buildings and Building Equipment      
Summary of property and equipment      
Weighted-average useful lives 26 years    
Total property and equipment at cost $ 74.0 74.0  
Financial Services | All Other      
Summary of property and equipment      
Weighted-average useful lives 6 years    
Total property and equipment at cost $ 34.0 $ 38.0