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Business Combinations (Narrative) (Details)
3 Months Ended 6 Months Ended 12 Months Ended
Jul. 02, 2017
USD ($)
employees
Jul. 03, 2016
USD ($)
Jul. 02, 2017
USD ($)
employees
Jul. 03, 2016
USD ($)
Jan. 01, 2017
USD ($)
Jan. 03, 2016
USD ($)
Apr. 02, 2017
USD ($)
Apr. 03, 2016
USD ($)
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 $ 83,000,000   $ 83,000,000          
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value 64,076,000 $ 62,878,000 $ 64,076,000 $ 62,878,000 $ 63,201,000 $ 57,350,000 $ 63,978,000 $ 58,579,000
Business Combination, Contingent Consideration Arrangements, Maximum Period     2 years 3 months          
Business Combination, Contingent Consideration Arrangements, Weighted Average Period     1 year 6 months          
Total transaction costs 3,700,000 $ 200,000 $ 6,300,000 $ 500,000        
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 2,356,690,000   $ 2,356,690,000   2,247,966,000      
Business Combination, Contingent Consideration, Liability, Current 15,300,000   15,300,000   15,400,000      
Business Combination, Contingent Consideration, Liability, Noncurrent 48,800,000   48,800,000   47,800,000      
Fiscal Year 2017 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Consideration Transferred     124,851,000.000          
Cash Acquired     (2,429,000)          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets 15,825,000   15,825,000          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 9,643,000   9,643,000          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets 1,084,000   1,084,000          
Cash paid to the shareholders     126,007,000.000          
Business Combination, Consideration Transferred, Liabilities Incurred     1,273,000          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total (15,414,000)   (15,414,000)          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities (8,241,000)   (8,241,000)          
Goodwill 72,454,000   72,454,000          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 124,851,000   124,851,000          
Bioo Scientific Corporation [Member]                
Business Acquisition [Line Items]                
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         63,453,000      
2016 Acquisitions (excluding Bioo) [Member]                
Business Acquisition [Line Items]                
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         8,847,000      
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     64,078,000     $ 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 5 months          
Finite-lived Intangible Assets Acquired 4,500,000              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total 400,000   $ 400,000          
Goodwill $ (4,100,000)   $ (4,100,000)          
Fiscal Year 2016 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Acquisition, Cost Of Acquired Entity, Working Capital Adjustments         (261,000)      
Business Combination, Consideration Transferred         70,084,000      
Cash Acquired         (2,152,000)      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets         7,153,000      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment         7,542,000      
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments         $ 72,300,000      
Number of Businesses Acquired         2      
Cash paid to the shareholders         $ 72,497,000.000      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life         9 years 5 months      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Total         $ (8,284,000)      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities         (1,985,000)      
Goodwill         43,588,000      
Intangible Assets, Gross (Excluding Goodwill)         22,100,000      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net         70,084,000      
Euroimmun [Member]                
Business Acquisition [Line Items]                
Business Acquisition, Percentage of Voting Interests Acquired 100.00%   100.00%          
Business Acquisition, Cost of Acquired Entity, Cash Paid Including Working Capital And Other Adjustments $ 1,200,000,000              
Entity Number of Employees | employees 2,400   2,400          
Diagnostics [Member]                
Business Acquisition [Line Items]                
Goodwill $ 1,032,783,000   $ 1,032,783,000   944,030,000      
Discovery & Analytical Solutions [Member]                
Business Acquisition [Line Items]                
Goodwill 1,323,907,000   1,323,907,000   1,303,936,000      
Core Technology [Member] | Fiscal Year 2017 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 3,500,000   3,500,000          
Core Technology [Member] | Fiscal Year 2016 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles         6,600,000      
Customer Relationships [Member] | Fiscal Year 2017 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 43,000,000   43,000,000          
Customer Relationships [Member] | Fiscal Year 2016 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles         14,900,000      
Trade Names [Member] | Fiscal Year 2017 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 3,000,000   3,000,000          
Trade Names [Member] | Fiscal Year 2016 Acquisitions [Member]                
Business Acquisition [Line Items]                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles         $ 570,000      
India, Rupees | Tulip Diagnostics Private Limited [Member]                
Business Acquisition [Line Items]                
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High 1,600,000,000   1,600,000,000          
United States of America, Dollars | Tulip Diagnostics Private Limited [Member]                
Business Acquisition [Line Items]                
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High $ 24,900,000   $ 24,900,000