Quarterly Results of Operations (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2016	Sep. 30, 2016	Jun. 30, 2016	Mar. 31, 2016	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
Quarterly Financial Information Disclosure [Abstract]
Total revenues	$ 4,144.9	$ 3,697.6	$ 3,745.8	$ 3,572.3	$ 3,806.1	$ 3,452.1	$ 2,429.1	$ 1,709.3	$ 15,160.6	$ 11,396.6	$ 6,416.7
Cost of product sales	1,263.5	1,001.4	1,108.9	1,327.0	1,053.6	1,736.2	778.1	248.6	4,700.8	3,816.5	969.0
Income from continuing operations, net of taxes	3,106.0	551.2	241.5	354.8	475.9	(368.5)	86.6	409.5	4,253.5	603.5	1,337.5
Gain/(loss) from discontinued operations, net of taxes	(0.6)	(0.4)	(1.2)	20.2	(18.6)	(18.3)	(248.7)	9.5	18.0	(276.1)	(34.1)
Net income	$ 3,105.4	$ 550.8	$ 240.3	$ 375.0	$ 457.3	$ (386.8)	$ (162.1)	$ 419.0	$ 4,271.5	$ 327.4	$ 1,303.4
Earnings per Ordinary Share – basic
Earnings from continuing operations (in usd per share)	$ 3.42	$ 0.61	$ 0.27	$ 0.39	$ 0.53	$ (0.41)	$ 0.12	$ 0.69	$ 4.69	$ 0.78	$ 2.27
Earnings/(loss) from discontinued operations (in usd per share)	0.00	0.00	0.00	0.02	(0.02)	(0.02)	(0.36)	0.02	0.02	(0.35)	(0.06)
Earnings per Ordinary Share - basic (in usd per share)	3.42	0.61	0.27	0.41	0.51	(0.43)	(0.24)	0.71	4.71	0.43	2.21
Earnings per Ordinary Share – diluted
Earnings from continuing operations (in usd per share)	3.41	0.60	0.26	0.39	0.52	(0.41)	0.12	0.69	4.66	0.77	2.26
Earnings/(loss) from discontinued operations (in usd per share)	0.00	0.00	0.00	0.02	(0.02)	(0.02)	(0.36)	0.02	0.02	(0.35)	(0.06)
Earnings per Ordinary Share - diluted (in usd per share)	$ 3.41	$ 0.60	$ 0.26	$ 0.41	$ 0.50	$ (0.43)	$ (0.24)	$ 0.71	$ 4.68	$ 0.42	$ 2.20