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Debt and Financing Arrangements - Schedule of senior notes outstanding (Details) - USD ($)
$ in Thousands
Jul. 02, 2019
Dec. 31, 2021
Dec. 31, 2020
Debt Instrument [Line Items]      
Carrying amount   $ 2,724,394 $ 2,861,113
Senior Notes      
Debt Instrument [Line Items]      
Principal amount   2,750,000  
Carrying amount   $ 2,724,394 2,861,113
Senior Notes | 7.350% senior notes due 2034      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [1]   7.35%  
Principal amount [1]   $ 300,000  
Carrying amount   $ 297,488 297,367
Senior Notes | 5.144% senior notes due 2043      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [2]   5.144%  
Principal amount [2]   $ 500,000  
Carrying amount   $ 495,063 494,944
Senior Notes | 4.011% senior notes due 2026      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [3]   4.011%  
Principal amount [3]   $ 500,000  
Carrying amount   $ 497,633 497,211
Senior Notes | 5.031% senior notes due 2046      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [4]   5.031%  
Principal amount   $ 450,000  
Carrying amount   $ 445,490 445,402
Senior Notes | 3.635% senior notes due 2050      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [5]   3.635%  
Principal amount   $ 1,000,000  
Carrying amount   $ 988,720 988,500
Senior Notes | Somers Notes      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [6]    
Principal amount    
Carrying amount   137,689
Somers Holdings Ltd. | Variable Interest Entity, Primary Beneficiary      
Debt Instrument [Line Items]      
Carrying amount     $ 172,689
Somers Holdings Ltd. | Variable Interest Entity, Primary Beneficiary | Senior Notes      
Debt Instrument [Line Items]      
Purchase of senior notes $ 35,000    
[1] Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
[2] Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
[3] Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
[4] Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
[5] Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).
[6] Senior notes of Somers issued on July 2, 2019 and due July 2, 2029 (“Somers Senior Notes”), reflecting the elimination of amounts owned by Arch-U.S. Effective July 1, 2021, the Company no longer consolidates Somers in its financials.