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Acquisitions and Divestitures (Summary of Allocation of Total Purchase Consideration) (Details)
$ in Millions
9 Months Ended
Apr. 28, 2018
USD ($)
acquisition
Business Acquisition [Line Items]  
Purchase Consideration $ 2,996
Net Tangible Assets Acquired (Liabilities Assumed) 328
Purchased Intangible Assets 812
Goodwill $ 1,856
Number of business combinations (acquisition) | acquisition 7
Viptela  
Business Acquisition [Line Items]  
Purchase Consideration $ 497
Net Tangible Assets Acquired (Liabilities Assumed) (18)
Purchased Intangible Assets 180
Goodwill 335
Springpath  
Business Acquisition [Line Items]  
Purchase Consideration 248
Net Tangible Assets Acquired (Liabilities Assumed) (11)
Purchased Intangible Assets 160
Goodwill 99
BroadSoft  
Business Acquisition [Line Items]  
Purchase Consideration 2,179
Net Tangible Assets Acquired (Liabilities Assumed) 353
Purchased Intangible Assets 430
Goodwill 1,396
Others (four in total)  
Business Acquisition [Line Items]  
Purchase Consideration 72
Net Tangible Assets Acquired (Liabilities Assumed) 4
Purchased Intangible Assets 42
Goodwill $ 26
Number of business combinations (acquisition) | acquisition 4