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Senior notes (Details) - USD ($)
6 Months Ended
Jul. 02, 2019
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Debt Instrument [Line Items]        
Senior notes   $ 172,554,000 $ 172,554,000 $ 172,418,000
Unamortized debt issuance expense   $ 2,400,000   2,600,000
Senior notes        
Debt Instrument [Line Items]        
Face amount of senior notes $ 175,000,000      
Stated interest rate (percent) 6.50% 6.50%    
Proceeds from issuance of senior long term debt $ 172,300,000      
Senior notes, redemption price percentage   100.00%    
Arch Capital Group Limited | ACGL and Subsidiaries        
Debt Instrument [Line Items]        
Face amount of senior notes $ 35,000,000      
Senior notes   $ 34,511,000   $ 34,484,000