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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 12 Months Ended
May 30, 2017
USD ($)
May 25, 2017
USD ($)
Mar. 14, 2017
USD ($)
Mar. 03, 2017
USD ($)
patent
May 12, 2016
USD ($)
Jan. 15, 2016
patent
claim
Sep. 04, 2013
patent
Jan. 28, 2017
USD ($)
Jul. 29, 2017
USD ($)
Jul. 30, 2016
USD ($)
Jul. 25, 2015
USD ($)
Jul. 26, 2014
USD ($)
Jul. 28, 2012
USD ($)
Site Contingency [Line Items]                          
Rent expense                 $ 403.0 $ 385.0 $ 394.0    
Purchase commitments                 4,640.0 3,896.0      
Liability for purchase commitments                 162.0 159.0      
Future compensation expense & contingent consideration (maximum)                 207.0        
Commitments and contingencies                      
Volume of channel partner financing                 27,000.0 26,900.0 25,900.0    
Balance of the channel partner financing subject to guarantees                 1,000.0 1,100.0      
Financing provided by third parties for leases and loans related to End Users on which the Company has provided guarantees                 51.0 63.0 107.0    
Charge to product cost of sales                 13,699.0 14,161.0 15,377.0    
Brazilian authority claim of import tax evasion by importer tax portion                 258.0        
Brazilian authority claim of import tax evasion by importer interest portion                 1,500.0        
Brazilian authority claim of import tax evasion by importer penalties portion                 $ 1,200.0        
SRI International                          
Site Contingency [Line Items]                          
Damages awarded, value         $ 23.7                
Pending Litigation | SRI International                          
Site Contingency [Line Items]                          
Damages awarded, value   $ 57.0                      
Number of allegedly infringed patents (patent) | patent             2            
Percentage of royalty awarded   3.50%                      
Damages from Product Defects                          
Site Contingency [Line Items]                          
Charge for expected remediation               $ 125.0          
Patent Infringement | Pending Litigation | Sprint Communications Company L.P. Vs. Time Warner Cable Inc.                          
Site Contingency [Line Items]                          
Number of patents found infringed (patent) | patent       5                  
Damages awarded, value     $ 139.8 $ 139.8                  
Percentage of post-judgment interest awarded     1.06%                    
Pre-judgment interest requested $ 20.3                        
Patent Infringement | Pending Litigation | Huawei Technologies Co. Ltd. Vs. T-Mobile US, Inc.                          
Site Contingency [Line Items]                          
Number of patent infringement actions filed (claim) | claim           4              
Number of allegedly infringed patents (patent) | patent           12              
Minimum                          
Site Contingency [Line Items]                          
Warranty period for products, in days                 90 days        
Channel partners revolving short-term financing payment term                 60 days        
Maximum                          
Site Contingency [Line Items]                          
Warranty period for products, in years                 5 years        
Channel partners revolving short-term financing payment term                 90 days        
End user lease and loan term                 3 years        
Insieme Networks Inc                          
Site Contingency [Line Items]                          
Initial funding                         $ 100.0
Payments to acquire additional interest in subsidiaries                 $ 441.0 389.0      
Compensation expense                 47.0 160.0 207.0    
Investments in privately held companies (impaired)                          
Site Contingency [Line Items]                          
Commitments and contingencies                 216.0 222.0      
Supplier Component Remediation Liability                          
Site Contingency [Line Items]                          
Commitments and contingencies                 $ 174.0 276.0      
Charge to product cost of sales                       $ 655.0  
Supplier Component Remediation Liability | Cost of Goods, Product Line                          
Site Contingency [Line Items]                          
Adjustments to product cost of sales               $ 141.0   $ (74.0) $ (164.0)