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Income Taxes - Income/(Loss) Before Tax and Income Tax Expense/(Benefit) Attributable to that 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
Income Tax Examination [Line Items]              
(Loss) before tax, U.S.         $ 236.3 $ 34.8 $ 5.0
Income (loss) from operations before income taxes $ 63.1 $ 91.5 $ 269.6 $ 346.6 402.6 (27.0) 35.1
Current tax (benefit)/expense, U.S.         52.4 14.8 5.8
Current tax (benefit)/expense, Total         65.6 26.5 8.5
Deferred tax (benefit), U.S.         3.0 (102.9) 0.0
Deferred tax, Total         (197.7) (104.6) (3.2)
Total tax expense/(benefit), U.S.         55.4 (88.1) 5.8
Total tax expense/(benefit) $ 6.4 $ 5.2 $ 32.1 $ 41.4 (132.1) (78.1) 5.3
Base erosion and anti-abuse (BEAT) expense         0.9 2.3 6.1
Bermuda              
Income Tax Examination [Line Items]              
(Loss) before tax, Non-U.S.         148.8 (103.3) 22.9
Current tax (benefit)/expense, Non-U.S.         0.0 0.0 0.0
Deferred tax (benefit), Non-U.S.         (201.1) 0.0 0.0
Total tax expense/(benefit), Non-U.S.         (201.1) 0.0 0.0
Net deferred tax asset, Bermuda         156.6    
Opening tax loss adjustment         $ 44.5    
Deferred tax asset, utilization period         10 years    
U.K.              
Income Tax Examination [Line Items]              
(Loss) before tax, Non-U.S.         $ 0.7 62.4 75.1
Current tax (benefit)/expense, Non-U.S.         5.3 7.0 0.0
Deferred tax (benefit), Non-U.S.         0.1 0.0 (0.3)
Total tax expense/(benefit), Non-U.S.         5.4 7.0 (0.3)
Other              
Income Tax Examination [Line Items]              
(Loss) before tax, Non-U.S.         16.8 (20.9) (67.9)
Current tax (benefit)/expense, Non-U.S.         7.9 4.7 2.7
Deferred tax (benefit), Non-U.S.         0.3 (1.7) (2.9)
Total tax expense/(benefit), Non-U.S.         $ 8.2 $ 3.0 $ (0.2)