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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 6 Months Ended
May 30, 2017
USD ($)
May 25, 2017
USD ($)
Mar. 14, 2017
USD ($)
Mar. 03, 2017
USD ($)
patent
May 12, 2016
USD ($)
Sep. 04, 2013
patent
Jan. 26, 2019
USD ($)
Jan. 27, 2018
USD ($)
Jan. 26, 2019
USD ($)
Jan. 27, 2018
USD ($)
Jul. 28, 2018
USD ($)
Contingency [Line Items]                      
Liability for purchase commitments             $ 148.0   $ 148.0   $ 159.0
Future compensation expense & contingent consideration (up to)             528.0   528.0    
Commitments and contingencies                
Volume of channel partner financing             7,300.0 $ 6,900.0 14,500.0 $ 13,600.0  
Balance of the channel partner financing subject to guarantees             1,325.0   1,325.0   1,000.0
Financing provided by third parties for leases and loans on which the Company has provided guarantees             6.0 $ 12.0 9.0 26.0  
Brazilian authority claim of import tax evasion by importer tax portion             215.0   215.0    
Brazilian authority claim of import tax evasion by importer interest portion             1,400.0   1,400.0    
Brazilian authority claim of import tax evasion by importer penalties portion             1,000.0   $ 1,000.0    
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%                  
Arista Networks, Inc vs. Company                      
Contingency [Line Items]                      
Proceeds from Legal Settlements             400.0        
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 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    
Investments in privately held companies (impaired)                      
Contingency [Line Items]                      
Commitments and contingencies             $ 357.0   $ 357.0   $ 223.0