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Schedule II - Condensed Financial Information of Registrant Statements of Cash Flows (Details) - USD ($)
 9 Months Ended 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Cash flows (used in)/from operating activities:          
Amortization of right-of-use operating lease assets $ 7,400,000 $ 6,500,000 $ 10,700,000 $ 10,100,000 $ 12,000,000.0
Interest on operating lease liability     (4,500,000) (5,400,000) (5,500,000)
Change in right of lease assets     0 (6,700,000) 400,000
Operating lease liabilities (12,400,000) (11,200,000) (15,500,000) (15,500,000) (17,500,000)
Net cash (used in)/from operating activities 367,100,000 293,400,000 324,700,000 (55,000,000.0) 524,700,000
Cash flows (used in)/from investing activities:          
Proceeds from sales and maturities of fixed income securities — Trading 589,000,000.0 319,700,000 474,000,000.0 293,600,000 548,200,000
Net cash (used in)/from investing activities 60,300,000 (208,000,000.0) (172,200,000) (196,500,000) (950,300,000)
Cash flows used in/from financing activities:          
Repayments of Short-Term Debt     (300,000,000.0) 0 0
Proceeds from term loan facility     300,000,000.0 0 0
Dividends paid on ordinary shares (175,000,000.0) (20,000,000.0) (40,300,000) (40,000,000.0) 0
Dividends paid on preference shares 41,100,000 36,000,000.0 49,900,000 44,600,000 44,500,000
Net cash (used in)/from financing activities (216,100,000) (56,000,000.0) (90,200,000) (84,600,000) 500,000
(Decrease)/increase in cash and cash equivalents 216,800,000 29,600,000 68,900,000 (354,900,000) (433,200,000)
Cash and cash equivalents at beginning of period 1,028,100,000 959,200,000 959,200,000    
Cash and cash equivalents at end of period   1,244,900,000 1,028,100,000 959,200,000  
Parent          
Cash flows used in/from financing activities:          
Proceeds from term loan facility     300,000,000.0 0 0
Parent Company          
Cash flows (used in)/from operating activities:          
Net income (excluding equity in net earnings of subsidiaries)     230,000,000.0 36,900,000 120,300,000
Realized and unrealized losses/(gains)     (14,800,000) 19,700,000 (6,700,000)
(Gain)/loss on derivative contracts     14,000,000.0 (15,400,000) 6,200,000
Amortization of right-of-use operating lease assets     500,000 500,000 500,000
Interest on operating lease liability     100,000 100,000 100,000
Change in other assets     300,000 2,100,000 (1,600,000)
Change in accrued expenses and other payables     5,500,000 (3,200,000) 1,400,000
Change in intercompany activities     (38,400,000) 41,100,000 35,000,000.0
Change in right of lease assets     0 0 (2,000,000.0)
Operating lease liabilities     (500,000) (600,000) 1,500,000
Net cash (used in)/from operating activities     196,700,000 81,200,000 154,700,000
Cash flows (used in)/from investing activities:          
(Purchases) of fixed income securities     (8,100,000) (10,000,000.0) (42,600,000)
Proceeds from sales and maturities of fixed income securities — Trading     6,400,000 7,800,000 0
Investment in subsidiaries     (105,700,000) 5,000,000.0 (115,000,000.0)
Net cash (used in)/from investing activities     (107,400,000) 2,800,000 (157,600,000)
Cash flows used in/from financing activities:          
Repayments of Short-Term Debt     (300,000,000.0) 0 0
Net cash (used in)/from financing activities     (90,200,000) (84,600,000) (44,500,000)
(Decrease)/increase in cash and cash equivalents     (900,000) (600,000) (47,400,000)
Cash and cash equivalents at beginning of period $ 43,500,000 $ 44,400,000 44,400,000 45,000,000.0 92,400,000
Cash and cash equivalents at end of period     $ 43,500,000 $ 44,400,000 $ 45,000,000.0