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Fair Value Measurements (Narrative) (Details)
$ in Thousands, € in Millions
9 Months Ended 12 Months Ended
Sep. 29, 2019
USD ($)
Sep. 30, 2018
USD ($)
Jan. 03, 2016
USD ($)
Sep. 29, 2019
EUR (€)
Sep. 12, 2019
USD ($)
Jun. 30, 2019
USD ($)
Dec. 30, 2018
USD ($)
Dec. 30, 2018
EUR (€)
Jul. 01, 2018
USD ($)
Apr. 11, 2018
USD ($)
Dec. 31, 2017
USD ($)
Jul. 19, 2016
EUR (€)
Oct. 25, 2011
USD ($)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High $ 28,000                        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability Value $ 25,502 $ 67,126       $ 34,261 $ 69,661   $ 74,093   $ 65,328    
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 9 years                        
Payments for acquisition related contingent consideration $ (28,200) $ (12,800)                      
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 31,300                        
Unamortized Debt Issuance Expense 3,500                        
Line of Credit, Maturing August 11, 2021 [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Revolving credit facility outstanding balance             418,000            
Unamortized Debt Issuance Expense             2,400            
1.875 Percent Ten Year Senior Unsecured Notes [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Unamortized Debt Issuance Expense 3,400           3,800            
Unsecured senior notes, face value | €                       € 500.0  
Debt Instrument, Unamortized Discount (3,500)           (4,000)         € (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 526,000           496,100            
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 1,300           2,000            
Unsecured senior notes, face value                   $ 300,000      
Debt Instrument, Unamortized Discount (100)           (100)     $ (200)      
Unsecured senior notes, fair value 302,800           300,500            
2021 Notes [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Unamortized Debt Issuance Expense 1,200           1,600            
Unsecured senior notes, face value                         $ 500,000
Debt Instrument, Unamortized Discount (800)           (1,100)           $ (3,100)
Unsecured senior notes, fair value 526,200           516,100            
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 8,100                        
Unsecured senior notes, face value         $ 850,000                
Debt Instrument, Unamortized Discount (2,800)       $ (2,800)                
Unsecured senior notes, fair value 851,000                        
Other Debt Facilities - EUROIMMUN [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Long-term Debt, Percentage Bearing Fixed Interest, Amount | €       € 25.6                  
Other Debt Facilities - EUROIMMUN [Member] | Euro Member Countries, Euro                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Other Long-term Debt | €       € 23.2       € 28.0          
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 19,200   56,900                    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High     $ 93,000                    
Vanadis Diagnostics AB & Shanghai Spectrum Instruments Co., Ltd [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Payments for acquisition related contingent consideration 48,500                        
Payment for Contingent Consideration Liability, Operating Activities 20,300                        
Payment for Contingent Consideration Liability, Financing Activities $ 28,200                        
Minimum [Member] | Vanadis Diagnostics AB [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Conditional probability of success 95.00%     95.00%                  
Measurement Inputs, Discount Rate 0.60%                        
Maximum [Member] | Vanadis Diagnostics AB [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Projected milestone date 2020                        
Conditional probability of success 98.00%     98.00%                  
Measurement Inputs, Discount Rate 1.60%                        
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 $ 27,800                        
Significant Other Observable Inputs (Level 2) [Member] | Line of Credit, Maturing August 11, 2021 [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Long-term Debt             415,600            
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 540,100           564,500            
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 326,800           341,300            
Significant Other Observable Inputs (Level 2) [Member] | 2021 Notes [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Long-term Debt 498,000           497,400            
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 $ 839,100                        
Significant Other Observable Inputs (Level 2) [Member] | Financing Lease Obligations [Member]                          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]                          
Other Long-term Debt             $ 34,500            
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 | €       € 25.7       € 38.2