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Business Segment Information (Details)
$ in Millions
3 Months Ended
Apr. 01, 2017
USD ($)
Segment
Apr. 02, 2016
USD ($)
Segment Reporting Information [Line Items]    
Number of Reportable Segments | Segment 4  
Revenues $ 4,765.0 $ 4,294.8
Cost of revenues charges (30.9)  
Selling, general and administrative charges, net (31.5)  
Restructuring and other costs, net (23.5) (50.6)
Operating Income 622.4 517.9
Other expense, net (119.5) (94.9)
Income from Continuing Operations Before Income Taxes 502.9 423.0
Depreciation 97.0 94.1
Life Sciences Solutions [Member]    
Segment Reporting Information [Line Items]    
Cost of revenues charges (0.3)  
Selling, general and administrative charges, net (27.8)  
Restructuring and other costs, net (15.3)  
Analytical Instruments [Member]    
Segment Reporting Information [Line Items]    
Cost of revenues charges (30.6)  
Selling, general and administrative charges, net (3.6)  
Restructuring and other costs, net (6.4)  
Specialty Diagnostics [Member]    
Segment Reporting Information [Line Items]    
Restructuring and other costs, net (1.3)  
Laboratory Products and Services [Member]    
Segment Reporting Information [Line Items]    
Selling, general and administrative charges, net (0.1)  
Restructuring and other costs, net (0.5)  
Total Reportable Segments [Member]    
Segment Reporting Information [Line Items]    
Operating Income [1] 1,075.8 930.0
Total Reportable Segments [Member] | Life Sciences Solutions [Member]    
Segment Reporting Information [Line Items]    
Revenues 1,363.5 1,217.7
Operating Income [1] 433.9 351.3
Depreciation 32.7 37.0
Total Reportable Segments [Member] | Analytical Instruments [Member]    
Segment Reporting Information [Line Items]    
Revenues 1,052.0 759.3
Operating Income [1] 191.8 111.7
Depreciation 16.9 9.6
Total Reportable Segments [Member] | Specialty Diagnostics [Member]    
Segment Reporting Information [Line Items]    
Revenues 866.4 854.6
Operating Income [1] 233.9 230.1
Depreciation 17.2 18.0
Total Reportable Segments [Member] | Laboratory Products and Services [Member]    
Segment Reporting Information [Line Items]    
Revenues 1,699.0 1,648.8
Operating Income [1] 216.2 236.9
Depreciation 30.2 29.5
Intersegment Eliminations [Member]    
Segment Reporting Information [Line Items]    
Revenues (215.9) (185.6)
Segment Reconciling Items [Member]    
Segment Reporting Information [Line Items]    
Cost of revenues charges (30.9) (10.6)
Selling, general and administrative charges, net (31.5) (28.9)
Restructuring and other costs, net (23.5) (50.6)
Amortization of acquisition-related intangible assets $ (367.5) $ (322.0)
[1] Represents operating income before certain charges to cost of revenues and selling, general and administrative expenses; restructuring and other costs, net; and amortization of acquisition-related intangibles.