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Goodwill and Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Apr. 02, 2016
Jan. 02, 2016
Jul. 02, 2016
Sep. 30, 2015
Goodwill [Line Items]        
Goodwill     $ 1,169,660 $ 1,069,041
Goodwill, Translation and Purchase Accounting Adjustments     222  
Intangible Assets, Net (Including Goodwill)     1,493,042 1,360,342
Segment, Software Products [Member]        
Goodwill [Line Items]        
Goodwill     1,117,038 1,016,413
Goodwill, Translation and Purchase Accounting Adjustments     228  
Intangible Assets, Net (Including Goodwill)       1,297,900
Segment Services        
Goodwill [Line Items]        
Goodwill     52,622 52,628
Goodwill, Translation and Purchase Accounting Adjustments     (6)  
Intangible Assets, Net (Including Goodwill)       $ 62,400
Solutions Group        
Goodwill [Line Items]        
Goodwill     1,050,013  
Intangible Assets, Net (Including Goodwill)     1,206,400  
Technology Platform Group        
Goodwill [Line Items]        
Goodwill     90,100  
Intangible Assets, Net (Including Goodwill)     255,800  
Professional Services        
Goodwill [Line Items]        
Goodwill     29,600  
Intangible Assets, Net (Including Goodwill)     $ 30,900  
Vuforia Acquisition [Member]        
Goodwill [Line Items]        
Goodwill, Acquired During Period   $ 23,316    
Vuforia Acquisition [Member] | Segment, Software Products [Member]        
Goodwill [Line Items]        
Goodwill, Acquired During Period   23,316    
Vuforia Acquisition [Member] | Segment Services        
Goodwill [Line Items]        
Goodwill, Acquired During Period   $ 0    
acquired entity name-Kepware [Domain]        
Goodwill [Line Items]        
Goodwill, Acquired During Period $ 77,081      
acquired entity name-Kepware [Domain] | Segment, Software Products [Member]        
Goodwill [Line Items]        
Goodwill, Acquired During Period 77,081      
acquired entity name-Kepware [Domain] | Segment Services        
Goodwill [Line Items]        
Goodwill, Acquired During Period $ 0