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Contracts Accounted for as Insurance - Narrative (Details)
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Guarantor Obligations [Line Items]    
Weighted average risk-free rates for U.S. dollar denominated financial guaranty insurance obligations 3.97% 1.02%
Minimum    
Guarantor Obligations [Line Items]    
Weighted average risk-free rates for U.S. dollar denominated financial guaranty insurance obligations 2.98% 0.00%
Maximum    
Guarantor Obligations [Line Items]    
Weighted average risk-free rates for U.S. dollar denominated financial guaranty insurance obligations 4.18% 1.98%
Foreign Currency Concentration Risk | Premiums Receivable | Premiums Receivable    
Guarantor Obligations [Line Items]    
Percentage of installment premiums denominated in currencies other than the U.S. dollar 76.00% 78.00%