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Goodwill and Intangible Assets, Net (Changes in the Carrying Amount of Goodwill) (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Changes in the carrying amount of goodwill    
Foreign currency translation $ 120,682 $ (18,284)
Acquisitions, earn outs and other 215,205 176,903
Ending balance 3,447,114 3,111,227
Diagnostics [Member]    
Changes in the carrying amount of goodwill    
Foreign currency translation 62,596 (9,725)
Acquisitions, earn outs and other 16,224 4,516
Ending balance 1,691,227 1,612,407
Discovery & Analytical Solutions [Member]    
Changes in the carrying amount of goodwill    
Foreign currency translation 58,086 (8,559)
Acquisitions, earn outs and other 198,981 172,387
Ending balance $ 1,755,887 $ 1,498,820