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Liability for Unpaid Losses and Loss Adjustment Expenses (Details) - USD ($)
$ in Thousands
 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Liability for Unpaid Claims and Claims Adjustment Expense        
Unpaid losses and loss adjustment expenses $ 1,679,567 $ 1,509,477 $ 1,084,450 $ 1,089,966
Reinsurance Recoverable for Unpaid Claims and Claims Adjustments 1,374,917 1,153,799 749,600 674,746
Liability for Unpaid Claims and Claims Adjustment Expense, Net 304,650 355,678 $ 334,850 $ 415,220
Current Year Claims and Claims Adjustment Expense 244,910 305,270    
Prior Year Claims and Claims Adjustment Expense 53,760 (31,344)    
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 298,670 336,614    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Current Year 106,865 152,415    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Prior Years 222,005 243,741    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid 328,870 396,156    
Liability for Unpaid Claims and Claims Adjustment Expense, Reported Claims, Amount 331,825 499,311    
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred but Not Reported (IBNR) Claims, Amount $ 1,347,742 $ 1,010,166