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Transactions with Related Parties (Details)
12 Months Ended
Dec. 31, 2021
USD ($)
director
Dec. 31, 2020
USD ($)
Dec. 31, 2019
USD ($)
Jul. 01, 2021
Dec. 31, 2018
USD ($)
Related Party Transaction [Line Items]          
Purchases of other investments $ 1,859,096,000 $ 1,808,727,000 $ 1,470,545,000    
Net reserves 12,157,925,000 12,199,074,000 9,809,192,000   $ 9,039,006,000
Reinsurance recoverable for paid and unpaid claims and claims adjustments 5,880,735,000 4,500,802,000 4,346,816,000    
Ceded premiums written 3,734,150,000 2,650,352,000 $ 2,099,893,000    
Reinsurance balances payable $ 1,583,253,000 683,263,000      
Greysbridge Holdings Ltd          
Related Party Transaction [Line Items]          
Percentage ownership       40.00%  
Premia Holdings Ltd          
Related Party Transaction [Line Items]          
Number of directors | director 7        
Greysbridge Holdings Ltd | Kelso And Company          
Related Party Transaction [Line Items]          
Percentage ownership       30.00%  
Greysbridge Holdings Ltd | Warburg Pincus          
Related Party Transaction [Line Items]          
Percentage ownership       30.00%  
Arch Re Bermuda And Affiliates | Premia Holdings Ltd          
Related Party Transaction [Line Items]          
Number of directors | director 2        
Equity Method Investee | Premia Holdings Ltd          
Related Party Transaction [Line Items]          
Percentage ownership     25.00%    
Purchases of other investments     $ 100,000,000    
Equity Method Investee | Barbican          
Related Party Transaction [Line Items]          
Net reserves $ 380,000,000        
Reinsurance recoverable for paid and unpaid claims and claims adjustments 0 199,800,000      
Funds held liability 0 $ 149,600,000      
Equity Method Investee | Somers Holdings Ltd.          
Related Party Transaction [Line Items]          
Reinsurance recoverable for paid and unpaid claims and claims adjustments 902,800,000        
Ceded premiums written 453,900,000        
Reinsurance balances payable 258,400,000        
Senior notes $ 35,000,000        
Preferred shares, dividend rate (as a percent) 6.50%        
Percentage ownership of affiliate preferred shares 6.60%