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Variable Interest Entities and Noncontrolling Interests - Other variable interest entity disclosures (Details) - USD ($)
$ in Thousands
Jun. 30, 2021
Dec. 31, 2020
Variable Interest Entity [Line Items]    
Total VIE Assets $ 46,481,886 $ 43,282,297
Maximum Exposure to Loss, Total 2,721,384 2,232,609
Variable Interest Entity, Not Primary Beneficiary    
Variable Interest Entity [Line Items]    
Total VIE Assets 4,446,266 3,859,058
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (7,776) (7,969)
Maximum Exposure to Loss - Off-Balance Sheet 59,085 56,320
Maximum Exposure to Loss, Total 51,309 48,351
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2017-1 Ltd. (Oct-17)    
Variable Interest Entity [Line Items]    
Total VIE Assets 145,573 145,573
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (283) (245)
Maximum Exposure to Loss - Off-Balance Sheet 779 844
Maximum Exposure to Loss, Total 496 599
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-1 Ltd. (Apr-18)    
Variable Interest Entity [Line Items]    
Total VIE Assets 250,095 250,095
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (909) (903)
Maximum Exposure to Loss - Off-Balance Sheet 1,984 2,245
Maximum Exposure to Loss, Total 1,075 1,342
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-2 Ltd. (Aug-18)    
Variable Interest Entity [Line Items]    
Total VIE Assets 0 108,395
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability 0 (138)
Maximum Exposure to Loss - Off-Balance Sheet 0 280
Maximum Exposure to Loss, Total 0 142
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-3 Ltd. (Oct-18)    
Variable Interest Entity [Line Items]    
Total VIE Assets 302,563 302,563
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (1,622) (1,320)
Maximum Exposure to Loss - Off-Balance Sheet 3,706 3,262
Maximum Exposure to Loss, Total 2,084 1,942
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-1 Ltd. (Mar-19)    
Variable Interest Entity [Line Items]    
Total VIE Assets 219,256 219,256
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (1,237) (1,361)
Maximum Exposure to Loss - Off-Balance Sheet 8,204 8,461
Maximum Exposure to Loss, Total 6,967 7,100
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-2 Ltd. (Apr-19)    
Variable Interest Entity [Line Items]    
Total VIE Assets 398,316 398,316
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (1,042) (730)
Maximum Exposure to Loss - Off-Balance Sheet 6,723 5,201
Maximum Exposure to Loss, Total 5,681 4,471
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-3 Ltd. (Jul-19)    
Variable Interest Entity [Line Items]    
Total VIE Assets 528,084 528,084
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (969) (861)
Maximum Exposure to Loss - Off-Balance Sheet 4,527 5,079
Maximum Exposure to Loss, Total 3,558 4,218
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-4 Ltd. (Oct-19)    
Variable Interest Entity [Line Items]    
Total VIE Assets 468,737 468,737
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (1,051) (890)
Maximum Exposure to Loss - Off-Balance Sheet 7,128 6,676
Maximum Exposure to Loss, Total 6,077 5,786
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-1 Ltd. (Jun-20)    
Variable Interest Entity [Line Items]    
Total VIE Assets [1] 18,843 275,068
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability [1] 0 (178)
Maximum Exposure to Loss - Off-Balance Sheet [1] 0 1,012
Maximum Exposure to Loss, Total [1] 0 834
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-1 Ltd. (Jun-20) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount 79,000  
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-2 Ltd (Sep-20)    
Variable Interest Entity [Line Items]    
Total VIE Assets [2] 325,712 423,420
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability [2] (442) (556)
Maximum Exposure to Loss - Off-Balance Sheet [2] 4,299 6,839
Maximum Exposure to Loss, Total [2] 3,857 6,283
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-2 Ltd (Sep-20) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount 26,000  
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-3 Ltd. (Nov-20)    
Variable Interest Entity [Line Items]    
Total VIE Assets [3] 418,158 418,158
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability [3] (618) (631)
Maximum Exposure to Loss - Off-Balance Sheet [3] 8,250 9,605
Maximum Exposure to Loss, Total [3] 7,632 8,974
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-3 Ltd. (Nov-20) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount 34,000  
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-4 Ltd. (Dec-20)    
Variable Interest Entity [Line Items]    
Total VIE Assets [4] 268,405 321,393
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability [4] (150) (156)
Maximum Exposure to Loss - Off-Balance Sheet [4] 3,891 6,816
Maximum Exposure to Loss, Total [4] 3,741 6,660
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-4 Ltd. (Dec-20) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount 16,000  
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-1 Ltd. (Mar-21)    
Variable Interest Entity [Line Items]    
Total VIE Assets 579,717 [5] 0
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability (83) [5] 0
Maximum Exposure to Loss - Off-Balance Sheet 4,387 [5] 0
Maximum Exposure to Loss, Total 4,304 [5] 0
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-1 Ltd. (Mar-21) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount 64,000  
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-2 Ltd. (Jun-21)    
Variable Interest Entity [Line Items]    
Total VIE Assets 522,807 [6] 0
Maximum Exposure to Loss - On-Balance Sheet (Asset) Liability 630 [6] 0
Maximum Exposure to Loss - Off-Balance Sheet 5,207 [6] 0
Maximum Exposure to Loss, Total 5,837 $ 0
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-2 Ltd. (Jun-21) | Funded by directly provided capacity    
Variable Interest Entity [Line Items]    
Initial Coverage, Amount $ 93,000  
[1]  An additional $79 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table
[2] An additional $26 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[3] An additional $34 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[4] An additional $16 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
[5] An additional $64 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table
[6]  An additional $93 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.