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Segment Information - Analysis of underwriting income by segment and reconciliation to net income available to common shareholders (Details)
$ in Millions
 12 Months Ended
Dec. 31, 2025
USD ($)
segment
Dec. 31, 2024
USD ($)
Dec. 31, 2023
USD ($)
Segment Reporting Information [Line Items]      
Number of reportable segments | segment 3    
Gross premiums written $ 22,878 $ 21,511 $ 18,403
Premiums ceded (6,402) (5,779) (4,935)
Net premiums written 16,476 15,732 13,468
Change in unearned premiums 589 (632) (1,028)
Net premiums earned 17,065 15,100 12,440
Other underwriting income 217 26 31
Losses and loss adjustment expenses (9,370) (8,342) (6,246)
Acquisition expenses, net (3,153) (2,651) (2,312)
Other operating expenses (1,826) (1,472) (1,301)
Underwriting income (loss) 2,933 2,661 2,612
Net investment income 1,625 1,495 1,023
Net realized gains (losses) 464 197 (165)
Equity in net income (loss) of investment funds accounted for using the equity method 504 580 278
Other income (loss) 54 42 27
Corporate expenses [1] (57) (119) (96)
Transaction costs and other [1] (75) (81) (6)
Amortization of intangible assets (193) (235) (95)
Interest expense (148) (141) (133)
Net foreign exchange gains (losses) (128) 75 (60)
Income before income taxes and income (loss) from operating affiliates 4,979 4,474 3,385
Income tax (expense) benefit (760) (362) 873
Income (loss) from operating affiliates 180 200 184
Net income (loss) 4,399 4,312 4,442
Amounts attributable to redeemable noncontrolling interests 0 0 1
Net income available to Arch 4,399 4,312 4,443
Preferred share dividends (40) (40) (40)
Net income (loss) available to Arch common shareholders $ 4,359 $ 4,272 $ 4,403
Underwriting Ratios      
Loss ratio 54.90% 55.20% 50.20%
Acquisition expense ratio 18.50% 17.60% 18.60%
Other operating expense ratio 9.40%    
Other operating expense ratio   9.70% 10.50%
Combined ratio 82.80% 82.50% 79.30%
Goodwill and intangible assets $ 1,222 $ 1,351 $ 731
Total investable assets 47,369 41,388 34,589
Total assets 79,241 70,906 58,906
Total liabilities 55,035 50,086 40,551
Operating segments | Insurance      
Segment Reporting Information [Line Items]      
Gross premiums written [2] 10,435 9,053 7,911
Premiums ceded [2],[3] (2,637) (2,179) (2,049)
Net premiums written 7,798 6,874 5,862
Change in unearned premiums (27) (247) (416)
Net premiums earned 7,771 6,627 5,446
Other underwriting income 36 [4] 0 0
Losses and loss adjustment expenses (4,764) (4,070) (3,122)
Acquisition expenses, net (1,496) (1,217) (1,055)
Other operating expenses [5] (1,172) (995) (819)
Underwriting income (loss) $ 375 $ 345 $ 450
Underwriting Ratios      
Loss ratio 61.30% 61.40% 57.30%
Acquisition expense ratio 19.30% 18.40% 19.40%
Other operating expense ratio [6] 14.60%    
Other operating expense ratio   15.00% 15.00%
Combined ratio 95.20% 94.80% 91.70%
Goodwill and intangible assets $ 793 $ 916 $ 224
Operating segments | Reinsurance      
Segment Reporting Information [Line Items]      
Gross premiums written [2] 11,149 11,112 9,113
Premiums ceded [2],[3] (3,531) (3,366) (2,559)
Net premiums written 7,618 7,746 6,554
Change in unearned premiums 504 (504) (718)
Net premiums earned 8,122 7,242 5,836
Other underwriting income 159 [4] 9 17
Losses and loss adjustment expenses (4,610) (4,327) (3,227)
Acquisition expenses, net (1,644) (1,432) (1,240)
Other operating expenses [5] (469) (270) (288)
Underwriting income (loss) $ 1,558 $ 1,222 $ 1,098
Underwriting Ratios      
Loss ratio 56.80% 59.70% 55.30%
Acquisition expense ratio 20.20% 19.80% 21.20%
Other operating expense ratio [6] 3.80%    
Other operating expense ratio   3.70% 4.90%
Combined ratio 80.80% 83.20% 81.40%
Goodwill and intangible assets $ 98 $ 102 $ 130
Operating segments | Mortgage      
Segment Reporting Information [Line Items]      
Gross premiums written [2] 1,305 1,351 1,387
Premiums ceded [2],[3] (245) (239) (335)
Net premiums written 1,060 1,112 1,052
Change in unearned premiums 112 119 106
Net premiums earned 1,172 1,231 1,158
Other underwriting income 22 [4] 17 14
Losses and loss adjustment expenses 4 55 103
Acquisition expenses, net (13) (2) (17)
Other operating expenses [5] (185) (207) (194)
Underwriting income (loss) $ 1,000 $ 1,094 $ 1,064
Underwriting Ratios      
Loss ratio (0.40%) (4.40%) (8.90%)
Acquisition expense ratio 1.10% 0.20% 1.40%
Other operating expense ratio [6] 13.90%    
Other operating expense ratio   16.80% 16.80%
Combined ratio 14.60% 12.60% 9.30%
Goodwill and intangible assets $ 331 $ 333 $ 377
[1] Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’
[2] Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
[3] Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
[4] ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
[5] Other operating expenses primarily include expenses that are related to compensation and employee benefits, information technology and professional fees, reduced in part by substance based credits.
[6] The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’