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Discontinued Operations Narrative (Details) - USD ($)
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Aug. 01, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
(Loss) gain on disposition of discontinued operations before income taxes $ 0 $ 0 $ (76,000)  
(Benefit from) provision for income taxes on discontinued operations and dispositions 17,101,000 22,583,000 8,889,000  
Disposal Group, Including Discontinued Operation, Assets, Current 1,693,704,000 555,374,000    
Disposal Group, Including Discontinued Operation, Assets, Noncurrent 0 1,144,168,000    
Disposal Group, Including Discontinued Operation, Assets 1,693,704,000 1,699,542,000    
Disposal Group, Including Discontinued Operation, Liabilities, Current 272,865,000 205,594,000    
Disposal Group, Including Discontinued Operation, Liabilities, Noncurrent 0 91,702,000    
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 14,999,000 14,999,000 14,982,000  
Analytical, Food and Enterprise Services businesses        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Depreciation, Discontinued Operations 8,011,000 12,897,000 13,299,000  
Amortization, Discontinued Operations 16,984,000 33,664,000 31,560,000  
Disposal Group, Including Discontinued Operation, Accounts, Notes and Loans Receivable, Net 343,064,000 315,851,000    
Disposal Group, Including Discontinued Operation, Consideration       $ 2,450,000,000
Disposal Group, Including Discontinued Operation, Inventory, Current 210,367,000 198,824,000    
Disposal Group, Including Discontinued Operation, Other Assets, Current 32,063,000 25,700,000    
Disposal Group, Including Discontinued Operation, Assets, Current   555,374,000    
Disposal Group, Including Discontinued Operation, Assets, Noncurrent   1,144,168,000    
Disposal Group, Including Discontinued Operation, Assets 1,693,704,000 1,699,542,000    
Disposal Group, Including Discontinued Operation, Accrued Liabilities, Current 161,260,000 174,947,000    
Disposal Group, Including Discontinued Operation, Liabilities, Current   205,594,000    
Disposal Group, Including Discontinued Operation, Liabilities, Noncurrent   91,702,000    
Disposal Group, Including Discontinued Operation, Liabilities 272,865,000 297,296,000    
Capital Expenditure, Discontinued Operations 10,670,000 13,868,000 $ 13,872,000  
Disposal Group, Consideration, Receivable at Closing       2,300,000,000
Disposal Group, Consideration, Receivable at Closing, Deferred Payments Tied to Transfer of the PKI Brand and Related Trademarks       75,000,000
Disposal Group, Consideration, Contingent on Exit Valuation       $ 150,000,000
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents 14,999,000 14,999,000    
Disposal Group, Including Discontinued Operation, Property, Plant and Equipment, Current 60,983,000 60,074,000    
Disposal Group, Including Discontinued Operation, Operating lease right-of-use assets, current 41,487,000 43,735,000    
Disposal Group, Including Discontinued Operation, Intangible Assets, Current 202,850,000 241,257,000    
Disposal Group, Including Discontinued Operation, Goodwill, Current 772,812,000 789,465,000    
Disposal Group, Including Discontinued Operation, Other assets, net, Current 15,079,000 9,637,000    
Disposal Group, Including Discontinued Operation, Accounts Payable 29,912,000 30,647,000    
Disposal Group, Including Discontinued Operation, Deferred taxes and long-term liabilities, Current 46,046,000 53,738,000    
Disposal Group, Including Discontinued Operation, Operating lease liabilities, Current 35,647,000 37,964,000    
Disposal Group, Including Discontinued Operation, Net Assets $ 1,420,000,000 $ 1,400,000,000