Earnings Per Share (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2021	Sep. 30, 2021	Jun. 30, 2021	Mar. 31, 2021	Dec. 31, 2020	Sep. 30, 2020	Jun. 30, 2020	Mar. 31, 2020	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Numerator:
Income from continuing operations attributable to controlling interests									$ 128.1	$ 247.3	$ 196.9
Income from discontinued operations attributable to controlling interests (Note 3)									700.3	39.4	27.0
Net income attributable to controlling interests									828.4	286.7	223.9
Less: Total income available to participating unvested securities									(0.1)	(0.1)	(0.1)
Total net income attributable to common stock									$ 828.3	$ 286.6	$ 223.8
Denominator:
Weighted-average shares outstanding—basic (in shares)	70,600,000	79,600,000	79,400,000	79,300,000	79,600,000	80,000,000.0	80,400,000	85,100,000	77,213,010	81,259,778	91,205,412
Potential shares of common stock:
Weighted-average shares outstanding—diluted (in shares)	73,500,000	83,200,000	82,900,000	82,300,000	81,800,000	80,900,000	80,400,000	85,100,000	80,485,924	82,036,203	91,268,952
Basic:
Continuing operations earnings per share (basic) attributable to controlling interests (in dollars per share)	$ 0.59	$ 0.54	$ 0.31	$ 0.23	$ 2.36	$ 0.36	$ 0.26	$ 0.06	$ 1.66	$ 3.04	$ 2.16
Discontinued operations earnings per share (basic) attributable to controlling interests (in dollars per share)									9.07	0.49	0.29
Earnings per ordinary share attributable to controlling interest - Basic (in dollars per share)	0.55	2.88	6.71	0.34	2.49	0.46	0.23	0.38	10.73	3.53	2.45
Earnings Per Share, Diluted [Abstract]
Continuing operations earnings per share (diluted) attributable to controlling interests (in dollars per share)	0.57	0.52	0.29	0.22	2.30	0.36	0.26	0.09	1.59	3.01	2.16
Discontinued operations earnings per share (diluted) attributable to controlling interests (in dollars per share)									8.70	0.48	0.29
Earnings per ordinary share attributable to controlling interests - Diluted (in dollars per share)	$ 0.53	$ 2.76	$ 6.42	$ 0.33	$ 2.42	$ 0.46	$ 0.23	$ 0.38	$ 10.29	$ 3.49	$ 2.45
Employee options excluded from computation of earnings per share (in shares)											8,970,000
Restricted stock units
Potential shares of common stock:
Share-based payment arrangements (in shares)									33,175	60,276	63,540
Employee stock options
Potential shares of common stock:
Share-based payment arrangements (in shares)									3,239,739	716,149	0