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SEGMENT INFORMATION Profitability (Details)
$ in Millions
3 Months Ended 6 Months Ended
Apr. 30, 2019
USD ($)
Jan. 31, 2019
Apr. 30, 2018
USD ($)
Apr. 30, 2019
USD ($)
Apr. 30, 2018
USD ($)
Segment Reporting Information [Line Items]          
Number of Reportable Segments       3  
Number of Operating Segments       3  
Segment Reporting, Factors Used to Identify Entity's Reportable Segments       Our operating segments were determined based primarily on how the chief operating decision maker views and evaluates our operations. Segment operating results are regularly reviewed by the chief operating decision maker to make decisions about resources to be allocated to each segment and to assess performance. Other factors, including market separation and customer specific applications, go-to-market channels, products and services and manufacturing are considered in determining the formation of these operating segments.  
Segment Reporting, Additional Information about Entity's Reportable Segments   The Communications Solutions Group serves customers spanning the worldwide commercial communications and aerospace, defense and government end markets. The group provides electronic design and test software, instruments, systems and related services used in the simulation, design, validation, manufacturing, installation and optimization of electronic equipment. The Electronic Industrial Solutions Group provides test and measurement solutions across a broad set of electronic industrial end markets, focusing on high-growth applications in the automotive and energy industry and measurement solutions for semiconductor design and manufacturing, consumer electronics, education and general electronics manufacturing. The group provides electronic design and test software, instruments, systems and related services used in the simulation, design, validation, manufacturing, installation and optimization of electronic equipment. The Ixia Solutions Group helps customers validate the performance and security resilience of their networks and associated applications. The test, visibility and security products help organizations and their customers strengthen their physical and virtual networks. Enterprises, service providers, network equipment manufacturers, and governments worldwide rely on the group's solutions to validate new products before shipping and secure ongoing operation of their networks with better visibility and security. The group’s product solutions consist of high-performance hardware platforms, software applications and services, including warranty and maintenance offerings.      
Amortization of acquisition-related balances $ 3   $ 9 $ 6 $ 28
Total segment revenue 1,090   990 2,096 1,827
Income from operations 185   86 306 69
Communications Solutions Group          
Segment Reporting Information [Line Items]          
Amortization of acquisition-related balances 0   1 0 1
Total segment revenue 676   626 1,299 1,126
Electronic Industrial Solutions Group          
Segment Reporting Information [Line Items]          
Amortization of acquisition-related balances 0   0 0 0
Total segment revenue 299   282 556 511
Ixia Solutions Group          
Segment Reporting Information [Line Items]          
Amortization of acquisition-related balances 3   8 6 27
Total segment revenue 115   82 241 190
Operating Segments [Member]          
Segment Reporting Information [Line Items]          
Total segment revenue 1,093   999 2,102 1,855
Income from operations 268   190 472 309
Operating Segments [Member] | Communications Solutions Group          
Segment Reporting Information [Line Items]          
Total segment revenue 676   627 1,299 1,127
Income from operations 187   132 325 195
Operating Segments [Member] | Electronic Industrial Solutions Group          
Segment Reporting Information [Line Items]          
Total segment revenue 299   282 556 511
Income from operations 78   68 132 106
Operating Segments [Member] | Ixia Solutions Group          
Segment Reporting Information [Line Items]          
Total segment revenue 118   90 247 217
Income from operations $ 3   $ (10) $ 15 $ 8