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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 12 Months Ended 27 Months Ended 39 Months Ended
May 12, 2016
USD ($)
Oct. 29, 2016
USD ($)
Oct. 24, 2015
USD ($)
Jan. 25, 2014
USD ($)
Jul. 27, 2013
Apr. 28, 2012
USD ($)
Jul. 30, 2016
USD ($)
Jul. 25, 2015
USD ($)
Sep. 04, 2014
patent
Oct. 29, 2016
USD ($)
Oct. 29, 2016
USD ($)
Oct. 26, 2013
USD ($)
Contingency [Line Items]                        
Purchase commitments   $ 3,920.0         $ 3,896.0     $ 3,920.0 $ 3,920.0  
Liability for purchase commitments   161.0         159.0     161.0 161.0  
Future compensation expense & contingent consideration, maximum   299.0               299.0 299.0  
Commitments and contingencies                
Volume of channel partner financing   6,900.0 $ 6,900.0                  
Balance of the channel partner financing subject to guarantees   1,000.0         1,100.0     1,000.0 1,000.0  
Financing provided by third parties for leases and loans on which the Company has provided guarantees   6.0 23.0                  
Charge to product cost of sales   3,403.0 3,853.0                  
Adjustments to product cost of sales   0.0 10.0                  
Brazilian authority claim of import tax evasion by importer tax portion   253.0               253.0 253.0  
Brazilian authority claim of import tax evasion by importer interest portion   1,300.0               1,300.0 1,300.0  
Brazilian authority claim of import tax evasion by importer penalties portion   $ 1,200.0               1,200.0 1,200.0  
SRI International                        
Contingency [Line Items]                        
Damages awarded, value $ 23.7                      
SRI International | Pending Litigation                        
Contingency [Line Items]                        
Number of allegedly infringed patents | patent                 2      
Maximum                        
Contingency [Line Items]                        
Warranty period for products, in years   5 years                    
Channel partners revolving short-term financing payment term, in days   90 days                    
End user lease and loan term, in years   3 years                    
Minimum                        
Contingency [Line Items]                        
Warranty period for products, in days   90 days                    
Channel partners revolving short-term financing payment term, in days   60 days                    
Insieme Networks Inc                        
Contingency [Line Items]                        
Variable interest entities investment           $ 100.0            
Ownership percentage as a result of investment         83.00%              
Compensation expense related to acquisitions   $ 20.0 51.0             803.0    
Payments to acquire additional interest in subsidiaries   323.0 $ 291.0               712.0  
Insieme Networks Inc | Including compensation that has been expensed through current reporting period | Maximum                        
Contingency [Line Items]                        
Commitments and contingencies   834.0               834.0 834.0  
Supplier Component Remediation Liability                        
Contingency [Line Items]                        
Commitments and contingencies   $ 265.0         276.0     $ 265.0 $ 265.0 $ 63.0
Charge to product cost of sales       $ 655.0                
Supplier Component Remediation Liability | Cost of Goods, Product Line                        
Contingency [Line Items]                        
Adjustments to product cost of sales             $ 74.0 $ 164.0