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Commitments and Contingencies - Additional Information (Details)
$ in Millions
3 Months Ended 6 Months Ended 42 Months Ended
Nov. 04, 2018
defendant
Feb. 13, 2018
patent
May 25, 2017
USD ($)
Mar. 03, 2017
USD ($)
patent
May 12, 2016
USD ($)
Sep. 04, 2013
patent
Jan. 25, 2020
USD ($)
Jan. 26, 2019
USD ($)
Jan. 25, 2020
USD ($)
Jan. 26, 2019
USD ($)
Nov. 08, 2019
USD ($)
Jul. 27, 2019
USD ($)
Contingency [Line Items]                        
Liability for purchase commitments             $ 126.0   $ 126.0     $ 129.0
Future compensation expense & contingent consideration (up to)             370.0   370.0      
Commitments and contingencies                  
Volume of channel partner financing             6,600.0 $ 7,300.0 14,200.0 $ 14,500.0    
Balance of the channel partner financing subject to guarantees             1,300.0   1,300.0     1,400.0
Financing provided by third parties for leases and loans on which the Company has provided guarantees             1.0 $ 6.0 $ 6.0 9.0    
SRI International | Pending Litigation                        
Contingency [Line Items]                        
Damages awarded, value     $ 57.0   $ 23.7              
Number of allegedly infringed patents (patent) | patent           2            
Percentage of royalty awarded     3.50%                  
Payment                     $ 28.1  
Oyster Optics | Pending Litigation                        
Contingency [Line Items]                        
Number remaining defendants, other than Cisco | defendant 1                      
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                
Pre-judgment interest requested       $ 10.0                
Patent Infringement | Centripetal | Pending Litigation                        
Contingency [Line Items]                        
Number of allegedly infringed patents (patent) | patent   11                    
Number of allegedly infringed patents, petitioned (patent) | patent   9                    
Number of allegedly infringed patents, unpatentable (patent) | patent   3                    
Patent Infringement, IPR Proceedings | Centripetal | Pending Litigation                        
Contingency [Line Items]                        
Number of allegedly infringed patents (patent) | patent   6                    
Patent Infringement, Patent Trial and Appeal Board | Centripetal | Pending Litigation                        
Contingency [Line Items]                        
Number of allegedly infringed patents (patent) | patent   4                    
Patent Infringement, Not Subject to IPR Proceedings | Centripetal | Pending Litigation                        
Contingency [Line Items]                        
Number of allegedly infringed patents (patent) | patent   5                    
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             291.0   $ 291.0     $ 326.0
Inventories                        
Contingency [Line Items]                        
Purchase commitment                 4,500.0 $ 5,000.0    
Tax Year 2003 - 2007 | Brazilian tax authority                        
Contingency [Line Items]                        
Penalty and interest asserted by the Brazilian federal tax authorities             $ 800.0   800.0      
Income tax examination, tax                 200.0      
Income tax examination, interest                 900.0      
Income tax examination, penalties                 $ 500.0