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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 7 Months Ended 12 Months Ended
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
Oct. 28, 2017
USD ($)
patent
Jan. 28, 2017
USD ($)
Oct. 29, 2016
USD ($)
Oct. 28, 2017
USD ($)
Jul. 30, 2016
USD ($)
Jul. 25, 2015
USD ($)
Jul. 26, 2014
USD ($)
Jul. 28, 2012
USD ($)
Jul. 29, 2017
USD ($)
Contingency [Line Items]                              
Purchase commitments             $ 4,205.0     $ 4,205.0         $ 4,640.0
Liability for purchase commitments             161.0     161.0         162.0
Future compensation expense & contingent consideration (up to)             298.0     298.0          
Commitments and contingencies                        
Volume of channel partner financing             6,700.0   $ 6,900.0            
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             14.0   6.0            
Charge to product cost of sales             3,615.0   3,403.0            
Adjustments for pre-existing warranties             (12.0)   0.0            
Brazilian authority claim of import tax evasion by importer tax portion             250.0     250.0          
Brazilian authority claim of import tax evasion by importer interest portion             1,500.0     1,500.0          
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   10                
Patent Indemnification                              
Contingency [Line Items]                              
Legal and indemnification settlement             $ 122.0                
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             $ 1.0   323.0            
Compensation expense related to acquisitions             1.0   $ 20.0            
Investments in privately held companies (impaired)                              
Contingency [Line Items]                              
Commitments and contingencies             213.0     213.0         216.0
Supplier Component Remediation Liability                              
Contingency [Line Items]                              
Charge to product cost of sales                         $ 655.0    
Loss contingency accrual             $ 146.0     $ 146.0         $ 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