Shareholders' Equity (Narrative) (Details) (USD $)	3 Months Ended
	Mar. 31, 2014	Mar. 31, 2013	Feb. 28, 2014	Dec. 31, 2013
Shareholders Equity [Line Items]
Common Stock, par value			$ 0.01	$ 0.01
Ordinary Shares, shares authorized	1,000,000,000
Ordinary Shares, par value	$ 0.0001
Common Stock, shares authorized				350,000,000
Stock-based compensation expense	$ 7,600,000	$ 15,300,000
Unrecognized compensation cost	79,500,000
Assumptions related to volatility, dividend yield	0.00%	0.00%
Total intrinsic value of options exercised	21,600,000	12,800,000
Repurchase of common stock, value	4,800,000	0
Non-qualified stock options granted to executive officer	487,521
Common shares outstanding	3,726,013			4,245,789
Shares issued pursuant to the ESPP	19,402	69,846
Proceeds from issuance of treasury stock	1,178,000	1,557,000
Treasury Stock, Value	0			763,120,000
Euro Deferred Shares, shares issued	4,000,000
Euro Deferred Shares, par value	$ 0.01
Employee stock purchase plan [Member]
Shareholders Equity [Line Items]
Stock-based compensation expense	200,000	600,000
Performance Stock Units [Member]
Shareholders Equity [Line Items]
Unrecognized compensation cost	18,400,000
Restricted stock units and performance shares granted to employees	111,000	336,000
Weighted-average period over which unrecognized compensation costs will be recognized, years	3 years
Restricted stock [Member]
Shareholders Equity [Line Items]
Weighted-average grant date fair value of restricted stock units (usd per share)	$ 33.85			$ 33.91
Restricted stock units and performance shares granted to employees	0
Restricted Stock Units (RSUs) [Member]
Shareholders Equity [Line Items]
Restricted stock units and performance shares granted to employees	470,386
Non vested stock options [Member]
Shareholders Equity [Line Items]
Unrecognized compensation cost	16,000,000
Weighted-average grant date fair value of stock options (usd per share)	$ 21.31	$ 9.33
Weighted average remaining requisite service period of non-vested stock awards, years	2 years 2 months 28 days
Non vested restricted stock units [Member]
Shareholders Equity [Line Items]
Unrecognized compensation cost	45,000,000
Weighted average remaining requisite service period of non-vested restricted stock units, years	2 years 5 months 28 days
Weighted-average grant date fair value of restricted stock units (usd per share)	$ 83.09	$ 29.53
Non vested restricted stock [Member]
Shareholders Equity [Line Items]
Weighted average remaining requisite service period of non-vested stock awards, years	8 months 23 days
Restatement Adjustment [Member]
Shareholders Equity [Line Items]
Additional Paid in Capital, Common Stock	1,500,000
Treasury Stock, Value	$ 763,100,000