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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]              
Interest Income (Expense), Net $ 81.7 $ 79.0 $ 248.1 $ 213.7      
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]              
Interest Income (Expense), Net 40.7 28.8 117.0 84.5      
Short-term investments              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 0.7 2.2 2.5 3.8      
Short-term investment, Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 0.0 0.2 0.1 0.3      
Fixed term deposits (included in cash and cash equivalents)              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 12.1 9.8 33.2 27.1      
Catastrophe bonds — Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 0.0 0.3 0.0 1.4      
Privately-held investments, available for sale              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 0.3 0.0 0.7 0.0      
Privately-held investments — Trading              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 8.7 11.4 29.7 32.9      
Other investments, at fair value              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net 2.3 (0.7) 4.4 9.7      
Fixed Income Securities              
Schedule of Investment Income, Reported Amounts, by Category [Line Items]              
Interest Income (Expense), Net $ 21.5 $ 25.6 $ 69.3 $ 73.4