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Segment Information (Segment profit) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Segment Reporting Information [Line Items]        
Consolidated income before taxes $ 1,411.0 $ 591.6 $ 2,856.8 $ 1,913.3
Acquired in-process research and development (Note 3) (30.0) (205.0) (1,654.5) (1,062.6)
Asset impairment, restructuring, and other special charges (Note 5) (83.3) (406.5) (236.0) (670.4)
Other, net (15.4) 49.9 90.1 188.6
Operating Segments        
Segment Reporting Information [Line Items]        
Consolidated income before taxes 1,676.7 1,364.4 5,213.0 4,188.3
Operating Segments | Human pharmaceutical products        
Segment Reporting Information [Line Items]        
Consolidated income before taxes 1,514.0 1,242.5 4,751.0 3,765.7
Operating Segments | Animal health products        
Segment Reporting Information [Line Items]        
Consolidated income before taxes 162.6 121.9 461.9 422.6
Corporate, Non-Segment        
Segment Reporting Information [Line Items]        
Acquired in-process research and development (Note 3) (30.0) (205.0) (1,654.5) (1,062.6)
Amortization of intangible assets (153.4) (155.8) (458.7) (510.0)
Asset impairment, restructuring, and other special charges (Note 5) (83.3) (406.5) (236.0) (670.4)
Other, net $ 1.0 $ (5.5) $ (7.0) $ (32.0)