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Deferred Policy Acquisition Costs (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
Movement Analysis of Deferred Policy Acquisition Costs [Roll Forward]              
Balance at the beginning of the period     $ 296.2 $ 319.0 $ 319.0 $ 290.8  
Acquisition costs deferred         357.4 460.0  
Amortization of deferred acquisition costs $ (91.7) $ (94.3) (290.2) $ (287.2) (380.2) (431.8) $ (414.1)
Balance at the end of the period $ 361.0   $ 361.0   $ 296.2 $ 319.0 $ 290.8