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Acquisitions (Details) - USD ($)
$ / shares in Units, $ in Thousands
6 Months Ended
Jul. 02, 2016
Jul. 04, 2015
Jan. 02, 2016
Feb. 02, 2015
Business Acquisition [Line Items]        
Goodwill $ 847,939   $ 799,182  
Goodwill, Acquired During Period 46,940      
Goodwill, Translation Adjustments $ 1,817      
Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Business Acquisition, Effective Date of Acquisition Feb. 02, 2015      
Business Acquisition, Name of Acquired Entity   Siemens Health Services    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables       $ 226,207
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Assets       46,682
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment       158,324
Goodwill       532,327
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles       612,980
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets       5,212
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable       (42,306)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Deferred Revenue       (85,314)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Other       (12,853)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Deferred Revenue       (48,130)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net       1,393,129
Business Acquisition, Pro Forma Revenue   $ 2,215,766    
Business Acquisition, Pro Forma Net Income (Loss)   $ 231,379    
Business Acquisition, Pro Forma Earnings Per Share, Diluted   $ 0.66    
Business Acquisition, Pro Forma Information, Description   These pro forma results are based on estimates and assumptions, which we believe are reasonable. They are not the results that would have been realized had we been a combined company during the period presented, nor are they indicative of our consolidated results of operations in future periods.    
Business Acquisition, Transaction Costs   $ 20,000    
Customer Relationships [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles       371,000
Developed Technology Rights [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles       201,990
Trade Names [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles       $ 39,990
Domestic Segment | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Goodwill $ 782,664   730,837  
Goodwill, Acquired During Period 51,827      
Goodwill, Translation Adjustments 0      
Global Segment | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Goodwill 65,275   $ 68,345  
Goodwill, Acquired During Period (4,887)      
Goodwill, Translation Adjustments $ 1,817      
Acquired Intangible Amortization [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Acquisition-related Adjustments   7,000    
Fair Value Adjustment to Deferred Revenue [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Acquisition-related Adjustments   6,000    
Acquisition-related Costs [Member] | Siemens Health Services [Member]        
Business Acquisition [Line Items]        
Acquisition-related Adjustments   $ 20,000