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Commitments and Contingencies (Additional Information) (Details)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended 24 Months Ended 27 Months Ended 42 Months Ended
May 12, 2016
USD ($)
Jan. 28, 2017
USD ($)
Jan. 23, 2016
USD ($)
Jan. 25, 2014
USD ($)
Jul. 27, 2013
Apr. 28, 2012
USD ($)
Jan. 28, 2017
USD ($)
Jan. 23, 2016
USD ($)
Sep. 04, 2014
patent
Dec. 31, 2016
USD ($)
Oct. 29, 2016
USD ($)
Jan. 28, 2017
USD ($)
Jul. 30, 2016
USD ($)
Contingency [Line Items]                          
Purchase commitments   $ 4,402.0         $ 4,402.0         $ 4,402.0 $ 3,896.0
Liability for purchase commitments   172.0         172.0         172.0 159.0
Future compensation expense & contingent consideration (up to)   220.0         220.0         220.0  
Volume of channel partner financing   6,300.0 $ 6,500.0       13,200.0 $ 13,400.0          
Balance of the channel partner financing subject to guarantees   1,200.0         1,200.0         1,200.0 1,100.0
Financing provided by third parties for leases and loans on which the Company has provided guarantees   30.0 16.0       36.0 39.0          
Charge to product cost of sales   3,305.0 3,480.0       6,708.0 7,333.0          
Adjustments to product cost of sales             3.0 13.0          
Commitments and contingencies                  
Brazilian authority claim of import tax evasion by importer tax portion   258.0         258.0         258.0  
Brazilian authority claim of import tax evasion by importer interest portion   1,400.0         1,400.0         1,400.0  
Brazilian authority claim of import tax evasion by importer penalties portion   1,200.0         $ 1,200.0         1,200.0  
SRI International                          
Contingency [Line Items]                          
Damages awarded, value $ 23.7                        
SRI International | Pending Litigation                          
Contingency [Line Items]                          
Number of allegedly infringed patents | patent                 2        
Damages from Product Defects                          
Contingency [Line Items]                          
Charge for expected remediation   125.0                      
Maximum                          
Contingency [Line Items]                          
Warranty period for products, in years             5 years            
Channel partners revolving short-term financing payment term, in days             90 days            
End user lease and loan term, in years             3 years            
Minimum                          
Contingency [Line Items]                          
Warranty period for products, in days             90 days            
Channel partners revolving short-term financing payment term, in days             60 days            
Insieme Networks Inc                          
Contingency [Line Items]                          
Variable interest entities investment           $ 100.0              
Ownership percentage as a result of investment         83.00%                
Compensation expense related to acquisitions   12.0 $ 50.0       $ 32.0 101.0     $ 815.0    
Payments to acquire additional interest in subsidiaries             422.0 $ 354.0       811.0  
Insieme Networks Inc | Including compensation that has been expensed through current reporting period | Maximum                          
Contingency [Line Items]                          
Commitments and contingencies   831.0         831.0         831.0  
Supplier Component Remediation Liability                          
Contingency [Line Items]                          
Charge to product cost of sales       $ 655.0                  
Commitments and contingencies   105.0         $ 105.0         $ 105.0 $ 276.0
Supplier Component Remediation Liability | Cost of Goods, Product Line                          
Contingency [Line Items]                          
Adjustments to product cost of sales   $ 141.0               $ 238.0