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Fair Value Measurements (Narrative) (Details)
$ in Thousands, € in Millions
3 Months Ended 12 Months Ended
Apr. 05, 2020
USD ($)
Mar. 31, 2019
USD ($)
Jan. 03, 2016
USD ($)
Apr. 05, 2020
EUR (€)
Dec. 29, 2019
USD ($)
Dec. 29, 2019
EUR (€)
Sep. 12, 2019
USD ($)
Dec. 30, 2018
USD ($)
Apr. 11, 2018
USD ($)
Jul. 19, 2016
EUR (€)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High $ 57,100                  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability Value $ 22,777 $ 34,349     $ 35,481     $ 69,661    
Business Combination, Contingent Consideration Arrangements, Description Contingent consideration is measured at fair value at the acquisition date, based on the probability that revenue thresholds or product development milestones will be achieved during the earnout period, with changes in the fair value after the acquisition date affecting earnings to the extent it is to be settled in cash.                  
Business Combination, Contingent Consideration Arrangements, Maximum Period 2 years 9 months 18 days                  
Business Combination, Contingent Consideration Arrangements, Weighted Average Period 1 year                  
Payments for acquisition related contingent consideration $ 0 $ (12,100)                
Line of Credit, Maturing September 17, 2024 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Line of Credit Facility, Maximum Borrowing Capacity 1,000,000                  
Revolving credit facility outstanding balance 307,200       325,400          
Unamortized Debt Issuance Expense 3,200       3,400          
1.875 Percent Ten Year Senior Unsecured Notes [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Unamortized Debt Issuance Expense 3,200       3,300          
Unsecured senior notes, face value | €                   € 500.0
Debt Instrument, Unamortized Discount (3,200)       (3,500)         € (4.4)
1.875 Percent Ten Year Senior Unsecured Notes [Member] | Euro Member Countries, Euro                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Unsecured senior notes, fair value 500,100       518,500          
0.6 Percent Senior Unsecured Notes due in April 2021 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Unamortized Debt Issuance Expense 900       1,100          
Unsecured senior notes, face value                 $ 300,000  
Debt Instrument, Unamortized Discount (100)       (100)       $ (200)  
Unsecured senior notes, fair value 299,400       301,900          
3.3 Percent Ten Year Senior Unsecured Notes due in Sept 2029 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Unamortized Debt Issuance Expense 7,400       7,400          
Unsecured senior notes, face value             $ 850,000      
Debt Instrument, Unamortized Discount (2,700)       (2,700)   $ (2,800)      
Unsecured senior notes, fair value 801,100       872,300          
Other Debt Facilities - EUROIMMUN [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Long-term Debt, Percentage Bearing Fixed Interest, Amount | €       € 20.7            
Other Debt Facilities - EUROIMMUN [Member] | Euro Member Countries, Euro                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Other Long-term Debt | €       € 18.2   € 21.3        
Vanadis Diagnostics AB [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Payments to Acquire Businesses, Net of Cash Acquired     $ 32,000              
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value $ 18,500   56,900              
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High     $ 93,000              
Minimum [Member] | Vanadis Diagnostics AB [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Conditional probability of success 90.00%     90.00%            
Measurement Inputs, Discount Rate 4.30%                  
Maximum [Member] | Vanadis Diagnostics AB [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Projected milestone date 2020                  
Conditional probability of success 100.00%     100.00%            
Measurement Inputs, Discount Rate 7.70%                  
Significant Other Observable Inputs (Level 2) [Member] | Line of Credit, Maturing September 17, 2024 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Long-term Debt $ 304,000       322,000          
Significant Other Observable Inputs (Level 2) [Member] | 1.875 Percent Ten Year Senior Unsecured Notes [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Long-term Debt 532,900       552,200          
Significant Other Observable Inputs (Level 2) [Member] | 0.6 Percent Senior Unsecured Notes due in April 2021 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Long-term Debt 322,600       334,200          
Significant Other Observable Inputs (Level 2) [Member] | 3.3 Percent Ten Year Senior Unsecured Notes due in Sept 2029 [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Long-term Debt $ 839,900       $ 839,900          
Significant Other Observable Inputs (Level 2) [Member] | Other Debt Facilities - EUROIMMUN [Member]                    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                    
Other Long-term Debt | €       € 20.8   € 25.7