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Debt and Financing Arrangements - Schedule of senior notes outstanding (Details) - USD ($)
$ in Thousands
Jul. 02, 2019
Dec. 31, 2020
Dec. 31, 2019
Debt Instrument [Line Items]      
Carrying amount   $ 2,861,113 $ 1,871,626
Senior Notes      
Debt Instrument [Line Items]      
Principal amount   2,890,000  
Carrying amount   $ 2,861,113 1,871,626
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   $ 297,367 297,254
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   $ 494,944 494,831
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   $ 497,211 496,806
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   $ 445,402 445,317
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   $ 988,500 0
Senior Notes | Watford notes      
Debt Instrument [Line Items]      
Stated interest rate (percentage) [6]   6.50%  
Principal amount   $ 140,000  
Carrying amount   $ 137,689 137,418
Variable Interest Entity, Primary Beneficiary | Senior Notes      
Debt Instrument [Line Items]      
Principal amount $ 175,000    
Proceeds from issuance of senior notes 172,300    
Variable Interest Entity, Primary Beneficiary | Senior Notes | Watford notes      
Debt Instrument [Line Items]      
Stated interest rate (percentage)   6.50%  
Watford Holdings Ltd | Variable Interest Entity, Primary Beneficiary      
Debt Instrument [Line Items]      
Carrying amount   $ 172,689 $ 172,418
Watford Holdings Ltd | Variable Interest Entity, Primary Beneficiary | Senior Notes      
Debt Instrument [Line Items]      
Payments to Acquire Notes Receivable $ 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.
[6] Senior notes of Watford issued on July 2, 2019 and due July 2, 2029, reflecting the elimination of amounts owned by Arch-U.S