Quarterly Results of Operations (Details) (USD $) In Millions, except Per Share data, unless otherwise specified	3 Months Ended	12 Months Ended
Dec. 31, 2014	Sep. 30, 2014	Jun. 30, 2014	Mar. 31, 2014	Dec. 31, 2013	Sep. 30, 2013	Jun. 30, 2013	Mar. 31, 2013	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Quarterly Financial Information [Line Items]
Total revenues	$ 1,576.1us-gaap_Revenues	$ 1,597.1us-gaap_Revenues	$ 1,502.1us-gaap_Revenues	$ 1,346.8us-gaap_Revenues	$ 1,326.0us-gaap_Revenues	$ 1,212.7us-gaap_Revenues	$ 1,252.2us-gaap_Revenues	$ 1,143.4us-gaap_Revenues	$ 6,022.1us-gaap_Revenues	$ 4,934.3us-gaap_Revenues	$ 4,527.4us-gaap_Revenues
Cost of product sales	218.5us-gaap_CostOfGoodsSold	254.3us-gaap_CostOfGoodsSold	277.0us-gaap_CostOfGoodsSold	229.5us-gaap_CostOfGoodsSold	178.6us-gaap_CostOfGoodsSold	180.5us-gaap_CostOfGoodsSold	164.3us-gaap_CostOfGoodsSold	147.4us-gaap_CostOfGoodsSold	979.3us-gaap_CostOfGoodsSold	670.8us-gaap_CostOfGoodsSold	585.8us-gaap_CostOfGoodsSold
Income from continuing operations, net of taxes	1,985.6	515.8	528.3	253.1	546.6	301.1	290.9	281.0	3,282.8	1,419.6	805.7
Gain/(loss) from discontinued operations, net of taxes	186.7	(36.1)	(5.2)	(22.7)	(482.6)	(22.9)	(32.8)	(216.2)	122.7	(754.5)	(60.3)
Net income	$ 2,172.3us-gaap_NetIncomeLoss	$ 479.7us-gaap_NetIncomeLoss	$ 523.1us-gaap_NetIncomeLoss	$ 230.4us-gaap_NetIncomeLoss	$ 64.0us-gaap_NetIncomeLoss	$ 278.2us-gaap_NetIncomeLoss	$ 258.1us-gaap_NetIncomeLoss	$ 64.8us-gaap_NetIncomeLoss	$ 3,405.5us-gaap_NetIncomeLoss	$ 665.1us-gaap_NetIncomeLoss	$ 745.4us-gaap_NetIncomeLoss
Earnings from continuing operations (in USD per share)	$ 3.383	$ 0.878	$ 0.901	$ 0.433	$ 0.980	$ 0.549	$ 0.529	$ 0.510	$ 5.596	$ 2.572	$ 1.451
Gain/(loss) from discontinued operations (in USD per share)	$ 0.318	$ (0.061)	$ (0.009)	$ (0.039)	$ (0.865)	$ (0.042)	$ (0.060)	$ (0.393)	$ 0.209	$ (1.367)	$ (0.109)
Earnings per ordinary share - basic (in USD per share)	$ 3.701us-gaap_EarningsPerShareBasic	$ 0.817us-gaap_EarningsPerShareBasic	$ 0.892us-gaap_EarningsPerShareBasic	$ 0.394us-gaap_EarningsPerShareBasic	$ 0.115us-gaap_EarningsPerShareBasic	$ 0.507us-gaap_EarningsPerShareBasic	$ 0.469us-gaap_EarningsPerShareBasic	$ 0.117us-gaap_EarningsPerShareBasic	$ 5.805us-gaap_EarningsPerShareBasic	$ 1.205us-gaap_EarningsPerShareBasic	$ 1.342us-gaap_EarningsPerShareBasic
Earnings from continuing operations (in USD per share)	$ 3.357	$ 0.870	$ 0.895	$ 0.430	$ 0.934	$ 0.527	$ 0.509	$ 0.490	$ 5.552	$ 2.453	$ 1.410
Gain/(loss) from discontinued operations (in USD per share)	$ 0.316	$ (0.061)	$ (0.009)	$ (0.039)	$ (0.817)	$ (0.039)	$ (0.056)	$ (0.367)	$ 0.208	$ (1.278)	$ (0.101)
Earnings per ordinary share - diluted (in USD per share)	$ 3.673us-gaap_EarningsPerShareDiluted	$ 0.809us-gaap_EarningsPerShareDiluted	$ 0.886us-gaap_EarningsPerShareDiluted	$ 0.391us-gaap_EarningsPerShareDiluted	$ 0.117us-gaap_EarningsPerShareDiluted	$ 0.488us-gaap_EarningsPerShareDiluted	$ 0.453us-gaap_EarningsPerShareDiluted	$ 0.123us-gaap_EarningsPerShareDiluted	$ 5.760us-gaap_EarningsPerShareDiluted	$ 1.175us-gaap_EarningsPerShareDiluted	$ 1.309us-gaap_EarningsPerShareDiluted

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