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Earnings Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Numerator:        
Net income available to Arch $ 1,350 $ 988 $ 3,161 $ 3,377
Preferred dividends (10) (10) (30) (30)
Net income (loss) available to Arch common shareholders, basic 1,340 978 3,131 3,347
Net income (loss) available to Arch common shareholders, diluted $ 1,340 $ 978 $ 3,131 $ 3,347
Denominator:        
Weighted average common shares outstanding — basic 369.0 373.2 371.4 372.3
Effect of dilutive common share equivalents:        
Nonvested restricted shares 1.7 2.0 1.6 1.8
Stock options [1] 5.4 7.1 6.1 7.2
Weighted average common shares and common share equivalents outstanding — diluted 376.1 382.3 379.1 381.3
Earnings per common share:        
Basic (per share) $ 3.63 $ 2.62 $ 8.43 $ 8.99
Diluted (per share) $ 3.56 $ 2.56 $ 8.26 $ 8.78
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Antidilutive securities excluded from computation of earnings per common share (shares) 2.4 0.2 2.4 0.4
[1] Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For the 2025 third quarter and 2024 third quarter, the number of stock options excluded were 2.4 million and 0.2 million, respectively. For the nine months ended September 30, 2025 and 2024, the number of stock options excluded were 2.4 million and 0.4 million, respectively.