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Reclassifications from Accumulated Other Comprehensive Income - Schedule of Accumulated Other Comprehensive Income Reclassification (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
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]              
General, administrative and corporate expenses $ (125.6) $ (120.1) $ (400.1) $ (352.8) $ (503.6) $ (494.2) $ (418.0)
Income (loss) from operations before income taxes 63.1 91.5 269.6 346.6 402.6 (27.0) 35.1
Income tax (expense)/benefit (6.4) (5.2) (32.1) (41.4) 132.1 78.1 (5.3)
Net income/(loss) 56.7 86.3 237.5 305.2 534.7 51.1 29.8
Reclassification out of Accumulated Other Comprehensive Income              
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]              
Net income/(loss) 8.2 8.7 31.2 19.2 25.5 70.4 (26.6)
Available for sale securities | Reclassification out of Accumulated Other Comprehensive Income              
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]              
Available for sale securities — gross realized (losses) (1.5) (0.1) (2.1) (0.5) (2.2) (3.9) (24.8)
Realized losses on sale of securities and cash and cash equivalents 10.9 8.7 37.5 15.9 42.4 58.9 4.4
Income (loss) from operations before income taxes 9.4 8.6 35.4 15.4 40.2 55.0 (20.4)
Income tax (expense)/benefit (1.5) (2.3) (4.5) (2.3) (6.6) 0.0 0.0
Net income/(loss) 7.9 6.3 30.9 13.1 33.6 55.0 (20.4)
Realized derivatives | Reclassification out of Accumulated Other Comprehensive Income              
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]              
General, administrative and corporate expenses 0.3 2.4 0.3 6.1 (8.1) 15.4 (6.2)
Income tax (expense)/benefit 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Net income/(loss) $ 0.3 $ 2.4 $ 0.3 $ 6.1 $ (8.1) $ 15.4 $ (6.2)