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Share-based Compensation Plans (Share-based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense $ 100.3 $ 97.0 $ 77.4
Less tax (28.4) (23.8) (18.1)
Share-based compensation expense, net 71.9 73.2 59.3
Unrecognized compensation cost relating to non-vested awards $ 115.3 83.1 97.0
Unrecognized compensation cost relating to non-vested awards, expected period for recognition 3 years    
Unrecognized compensation cost relating to non-vested in the money awards $ 82.0 $ 71.2 $ 90.3
Unrecognized compensation cost relating to non-vested in the money awards, expected period for recognition 1 year 10 months 24 days 1 year 10 months 24 days 1 year 8 months 12 days
Incremental compensation costs related to the modification of awards in connection with One Shire reorganization $ 26.7 $ 30.4 $ 3.3
Cost of Product Sales      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 7.6 8.5 4.4
Research and Development      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 28.6 22.2 22.8
Selling, General and Administrative      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 37.4 35.9 46.9
Reorganization costs      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense $ 26.7 $ 30.4 $ 3.3