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Investments - Summary of Investment Income (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         $ (287.3) $ (198.4) $ (159.2)
Investment expenses $ (2.1) $ (1.1) $ (9.2) $ (6.4) (11.6) (10.3) (11.7)
Net investment income $ 79.6 $ 77.9 $ 238.9 $ 207.3 275.7 188.1 147.5
Fixed income securities              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (115.7) (95.6) (87.2)
Short-term investments              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (5.3) (0.6) (0.1)
Short-term investment, Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (0.3) (0.1) 0.0
Fixed term deposits (included in cash and cash equivalents)              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (39.9) (6.6) (0.7)
Catastrophe bonds — Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (0.2) (0.3) (0.9)
Privately-held investments, available for sale              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (0.1) 0.0 0.0
Privately-held investments — Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (44.7) (24.3) (18.2)
Other investments, at fair value              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         (17.8) (13.9) (21.9)
Fixed Income Securities              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Investment income         $ (98.9) $ (57.0) $ (30.2)