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Business Combinations (Narrative) (Details)
3 Months Ended 9 Months Ended 12 Months Ended
Dec. 30, 2018
USD ($)
Sep. 30, 2018
USD ($)
Apr. 01, 2018
USD ($)
Oct. 01, 2017
USD ($)
$ / shares
Sep. 30, 2018
USD ($)
Oct. 01, 2017
USD ($)
$ / shares
Dec. 31, 2017
USD ($)
employees
Jan. 03, 2016
USD ($)
Jul. 01, 2018
USD ($)
Jul. 02, 2017
USD ($)
Jan. 01, 2017
USD ($)
Business Acquisition [Line Items]                      
Number of Years in Measurement Period from Acquisition Date to Change Underlying Assumptions         1 year            
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High   $ 76,500,000     $ 76,500,000            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability Value   67,126,000   $ 64,727,000 $ 67,126,000 $ 64,727,000 $ 65,328,000   $ 74,093,000 $ 64,076,000 $ 63,201,000
Business Combination, Contingent Consideration Arrangements, Maximum Period         2 years            
Business Combination, Contingent Consideration Arrangements, Weighted Average Period         7 months            
Total transaction costs   1,700,000   (30,800,000) $ 5,500,000 (30,100,000)          
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.            
Goodwill   2,920,689,000     $ 2,920,689,000   3,002,198,000        
Business Combination, Contingent Consideration, Liability, Current   61,300,000     61,300,000   52,200,000        
Business Combination, Contingent Consideration, Liability, Noncurrent   5,800,000     5,800,000   13,100,000        
Foreign Currency Transaction Gain (Loss), before Tax   (4,300,000)   2,700,000 8,800,000 5,400,000          
EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Pro Forma Revenue       640,154,000   1,846,233,000          
Business Combination, Pro Forma Information, Revenue of Acquiree since Acquisition Date, Actual             13,500,000        
Business Combination, Pro Forma Information, Earnings or Loss of Acquiree since Acquisition Date, Actual             $ (1,000,000)        
Business Acquisition, Percentage of Voting Interests Acquired             99.98%        
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments             $ 0        
Business Combination, Consideration Transferred             1,388,762,000.000        
Cash Acquired             (25,018,000)        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets             121,174,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment             $ 130,512,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets   49,679,000     $ 49,679,000            
Entity Number of Employees | employees             2,400        
Cash paid to the shareholders             $ 1,413,780,000.000        
Business Combination, Consideration Transferred, Liabilities Incurred             0        
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life         16 years 1 month            
Goodwill   581,172,000     $ 581,172,000            
Intangible Assets, Gross (Excluding Goodwill)   907,400,000     907,400,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-term Debt             61,357,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net             1,388,762,000        
Business Acquisition, Pro Forma Income (Loss) from Continuing Operations, Net of Tax       $ 94,055,000   $ 172,672,000          
Business Acquisition, Pro Forma Earnings Per Share, Basic | $ / shares       $ 0.86   $ 1.57          
Business Acquisition, Pro Forma Earnings Per Share, Diluted | $ / shares       $ 0.85   $ 1.56          
Fiscal Year 2018 Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments         (599,000)            
Business Combination, Consideration Transferred         54,257,000.000            
Cash Acquired         1,138,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets   3,469,000     3,469,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment   937,000     937,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets   430,000     430,000            
Cash paid to the shareholders         43,942,000            
Business Combination, Consideration Transferred, Liabilities Incurred         $ 3,354,000            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life         14 years 7 months            
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value         $ 7,500,000            
Goodwill   28,423,000     28,423,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-term Debt   208,000     208,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net   54,257,000     54,257,000            
Fiscal Year 2017 Other Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments             93,000        
Business Combination, Consideration Transferred             139,602,000.000        
Cash Acquired             2,439,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets             16,268,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment             11,356,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets             1,691,000        
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             142,041,000        
Cash paid to the shareholders             140,861,000        
Business Combination, Consideration Transferred, Liabilities Incurred             1,273,000        
Goodwill             75,250,000        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-term Debt             0        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net             139,602,000        
Vanadis Diagnostics AB [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High               $ 93,000,000      
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value         59,599,000     $ 56,878,000      
Tulip Diagnostics Private Limited [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             $ 127,280,000        
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life             11 years 9 months        
Foreign Currency Transaction Gain (Loss), before Tax   100,000     1,000,000            
Euroimmun [Member]                      
Business Acquisition [Line Items]                      
Goodwill, Purchase Accounting Adjustments   (1,520,000)                  
Business Combination, Increase (Decrease) in Property and Equipment   500,000                  
Business Combination, Increase (Decrease) in Other Assets   (265,000)                  
Business Combination, Increase (Decrease) in Liabilities Assumed   1,200,000                  
Business Combination, Increase (Decrease) in Deferred Tax Liabilities   66,000                  
Foreign Currency Transaction Gain (Loss), before Tax       $ 36,300,000   $ 42,000,000          
Fiscal Year 2017 Other Acquisitions, Excluding Tulip [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             $ 14,700,000        
Diagnostics [Member]                      
Business Acquisition [Line Items]                      
Goodwill   1,610,601,000     1,610,601,000   1,657,963,000        
Discovery & Analytical Solutions [Member]                      
Business Acquisition [Line Items]                      
Goodwill   1,310,088,000     1,310,088,000   1,344,235,000        
Core Technology [Member] | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             160,000,000        
Core Technology [Member] | Fiscal Year 2018 Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   15,957,000     15,957,000            
Core Technology [Member] | Fiscal Year 2017 Other Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             12,400,000        
Customer Relationships [Member] | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   710,000,000     710,000,000            
Customer Relationships [Member] | Fiscal Year 2018 Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   10,800,000     10,800,000            
Customer Relationships [Member] | Fiscal Year 2017 Other Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             43,700,000        
Trade Names [Member] | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             36,000,000        
Trade Names [Member] | Fiscal Year 2018 Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles   1,010,000     1,010,000            
Trade Names [Member] | Fiscal Year 2017 Other Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             3,000,000        
In-process Research and Development [Member] | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             1,400,000        
In-process Research and Development [Member] | Fiscal Year 2017 Other Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles             0        
Euro Member Countries, Euro | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             1,200,000,000        
Euro Member Countries, Euro | Subsequent Event [Member] | Dani Analitica S.r.l. [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments $ 43,060,000                    
India, Rupees | Tulip Diagnostics Private Limited [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Payment of Stay Bonus     $ 716,286,000                
Business Combination, Remaining Stay Bonus To Be Paid   803,600,000     803,600,000            
Business Combination, Stay Bonus Which May Be Paid, Maximum             1,600,000,000        
United States of America, Dollars | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             1,413,780,000        
United States of America, Dollars | Fiscal Year 2018 Acquisitions [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         55,395,000            
United States of America, Dollars | Tulip Diagnostics Private Limited [Member]                      
Business Acquisition [Line Items]                      
Business Combination, Payment of Stay Bonus     $ 11,254,000                
Business Combination, Remaining Stay Bonus To Be Paid   11,100,000     11,100,000            
Business Combination, Stay Bonus Which May Be Paid, Maximum             25,200,000        
United States of America, Dollars | Shanghai Spectrum Instruments Co., Ltd. [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         15,398,000            
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High   2,000,000     2,000,000            
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value         1,700,000            
Business Combination, Additional Consideration, Liability   2,500,000     2,500,000            
Business Combination, Additional Consideration, Liability, at Fair Value   2,400,000     2,400,000            
United States of America, Dollars | RHS Limited [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         19,442,000            
United States of America, Dollars | DNA Labs [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         9,000,000            
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High   8,000,000     8,000,000            
Business Acquisition, Cost of Acquired Entity, Liabilities Incurred, Contingent Consideration at Fair Value         5,800,000            
Business Combination, Working Capital Adjustments To Be Paid   700,000     700,000            
Business Combination, Additional Consideration, Liability   $ 1,000,000     $ 1,000,000            
Cash and Cash Equivalents [Member] | United States of America, Dollars | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             503,780,000        
Term Loan Credit Facility, 12 Months Maturity [Member] | United States of America, Dollars | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             200,000,000        
Line of Credit, Maturing August 11, 2021 [Member] | United States of America, Dollars | EUROIMMUM [Member]                      
Business Acquisition [Line Items]                      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments             $ 710,000,000