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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 6 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 ($)
Jan. 15, 2016
claim
patent
Sep. 04, 2013
patent
Jan. 27, 2018
USD ($)
Jan. 28, 2017
USD ($)
Jan. 27, 2018
USD ($)
Jan. 28, 2017
USD ($)
Jul. 30, 2016
USD ($)
Jul. 25, 2015
USD ($)
Jul. 26, 2014
USD ($)
Jul. 28, 2012
USD ($)
Jul. 29, 2017
USD ($)
Contingency [Line Items]                                
Liability for purchase commitments               $ 159.0   $ 159.0           $ 162.0
Future compensation expense & contingent consideration (up to)               246.0   246.0            
Commitments and contingencies                          
Volume of channel partner financing               6,900.0 $ 6,300.0 13,600.0 $ 13,200.0          
Balance of the channel partner financing subject to guarantees               1,000.0   1,000.0           1,000.0
Financing provided by third parties for leases and loans on which the Company has provided guarantees               12.0 30.0 26.0 36.0          
Charge to product cost of sales               3,354.0 3,305.0 6,969.0 6,708.0          
Adjustments for pre-existing warranties                   (21.0) (3.0)          
Brazilian authority claim of import tax evasion by importer tax portion               257.0   257.0            
Brazilian authority claim of import tax evasion by importer interest portion               1,600.0   1,600.0            
Brazilian authority claim of import tax evasion by importer penalties portion               1,200.0   1,200.0            
SRI International                                
Contingency [Line Items]                                
Damages awarded, value         $ 23.7                      
SRI International | Pending Litigation                                
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                                
Contingency [Line Items]                                
Charge for expected remediation                 125.0              
Patent Infringement | Sprint Communications Company, L.P. vs. Time Warner Cable, Inc. | Pending Litigation                                
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 | Huawei Technologies Co. Ltd. Vs. T-Mobile US, Inc. | Pending Litigation                                
Contingency [Line Items]                                
Number of patent infringement actions filed (claim) | claim           4                    
Number of allegedly infringed patents (patent) | patent           12                    
Patent Indemnification                                
Contingency [Line Items]                                
Legal and indemnification settlement                   $ 127.0            
Minimum                                
Contingency [Line Items]                                
Warranty period for products                   90 days            
Channel partners revolving short-term financing payment term                   60 days            
Maximum                                
Contingency [Line Items]                                
Warranty period for products                   5 years            
Channel partners revolving short-term financing payment term                   90 days            
End user lease and loan term                   3 years            
Insieme Networks Inc                                
Contingency [Line Items]                                
Variable interest entities investment                             $ 100.0  
Payments to acquire additional interest in subsidiaries                     422.0          
Compensation expense related to acquisitions                 12.0   $ 32.0          
Investments in privately held companies (impaired)                                
Contingency [Line Items]                                
Commitments and contingencies               215.0   $ 215.0           216.0
Supplier Component Remediation Liability                                
Contingency [Line Items]                                
Charge to product cost of sales                           $ 655.0    
Loss contingency accrual               $ 120.0   $ 120.0           $ 174.0
Supplier Component Remediation Liability | Cost of Goods, Product Line                                
Contingency [Line Items]                                
Adjustments for pre-existing warranties                 $ (141.0)     $ 74.0 $ 164.0