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Capital Structure - Narrative (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Dec. 31, 2017
Feb. 08, 2017
Class of Stock [Line Items]          
Additional paid-in capital   $ 966,000,000   $ 954,700,000  
Aggregate liquidation preferences   525,000,000   525,000,000  
Issuance costs   $ 13,100,000   $ 13,100,000  
Ordinary shares acquired and canceled, shares 451,268   648,941    
Ordinary shares purchased and canceled, value $ 20,000,000   $ 30,000,000    
Ordinary shares acquired and canceled, average price per share (in usd per share) $ 44.32   $ 46.23    
Repurchase Program 2017          
Class of Stock [Line Items]          
Existing share repurchase authorization amount         $ 250,000,000
7.250% preference shares          
Class of Stock [Line Items]          
Preferred Stock, Dividend Rate, Percentage   7.25%