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Business Combinations (Fair Values of the Business Combinations and Allocations for the Acquisitions Completed) (Details) - USD ($)
6 Months Ended 12 Months Ended
Jul. 04, 2021
Jan. 03, 2021
Business Acquisition [Line Items]    
Goodwill $ 3,844,070,000 $ 3,447,114,000
Fiscal Year 2021 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Acquisition, Cost of Acquired Entity, Cash Paid 859,548,000  
Business Combination, Consideration Transferred, Liabilities Incurred 910,000  
Cash Acquired 157,278,000  
Business Combination, Consideration Transferred 703,180,000  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets 35,265,000  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 13,293,000  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets 15,187,000  
Goodwill 428,923,000  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total (68,821,000)  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-term Debt (44,417,000)  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 703,180,000  
Fiscal Year 2020 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Acquisition, Cost of Acquired Entity, Cash Paid   437,661,000
Business Combination, Consideration Transferred, Liabilities Incurred   1,660,000
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments   384,000
Cash Acquired   (26,840,000)
Business Combination, Consideration Transferred   412,097,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets   35,532,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment   20,302,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets   18,114,000
Goodwill   221,960,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total   (27,142,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Deferred Revenue   (2,031,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-term Debt   (45,171,000)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net   412,097,000
Core Technology [Member] | Fiscal Year 2021 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 193,260,000  
Core Technology [Member] | Fiscal Year 2020 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   65,730,000
Trade Names [Member] | Fiscal Year 2021 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 26,070,000  
Trade Names [Member] | Fiscal Year 2020 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   5,580,000
Patents [Member] | Fiscal Year 2021 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 150,000  
Customer Relationships [Member] | Fiscal Year 2021 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 104,270,000  
Customer Relationships [Member] | Fiscal Year 2020 Acquisitions [Member]    
Business Acquisition [Line Items]    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   108,523,000
Diagnostics [Member]    
Business Acquisition [Line Items]    
Goodwill 1,952,135,000 1,691,227,000
Discovery & Analytical Solutions [Member]    
Business Acquisition [Line Items]    
Goodwill $ 1,891,935,000 $ 1,755,887,000