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Loss and Loss Adjustment Expense Reserves (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
TPC Providers | Ark                
Loss and LAE paid relating to:                
Percent of underwriting capital provided by third parties           0.00% 42.80% 58.30%
Ark                
Loss and LAE paid relating to:                
Reinsurance recoverables $ 669.7   $ 669.7   $ 595.3      
P&C Insurance and Reinsurance (Ark/WM Outrigger)                
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]                
Gross beginning balance 1,345.6 $ 999.6 1,296.5 $ 894.7        
Less: beginning reinsurance recoverable on unpaid losses (348.9) (396.0) (505.0) (428.9)        
Net loss and LAE reserves 996.7 603.6 791.5 465.8        
Loss and LAE incurred relating to:                
Current year losses 156.5 143.2 295.7 268.9        
Prior year losses 11.0 (22.7) 19.6 (26.4)        
Net incurred losses and LAE 167.5 120.5 315.3 242.5        
Loss and LAE paid relating to:                
Current year losses (5.6) (14.1) (9.6) (14.7)        
Prior year losses (103.0) (54.4) (190.7) (93.8)        
Net paid loss and LAE (108.6) (68.5) (200.3) (108.5)        
Change in TPC providers’ participation 0.0 0.0 145.4 57.5        
Foreign currency translation and other adjustments to loss and LAE reserves 2.7 (9.0) 6.4 (10.7)        
Net ending balance 1,058.3 646.6 1,058.3 646.6        
Plus: ending reinsurance recoverable on unpaid losses 362.7 375.5 362.7 375.5        
Gross ending balance 1,421.0 1,022.1 1,421.0 1,022.1        
Reinsurance recoverables 669.7   669.7   $ 595.3      
P&C Insurance and Reinsurance (Ark/WM Outrigger) | TPC Providers                
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]                
Less: beginning reinsurance recoverable on unpaid losses (0.0) (207.3) (145.4) (276.8)        
Loss and LAE paid relating to:                
Reinsurance recoverables $ 0.0 $ 182.4 $ 0.0 $ 182.4