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Earnings Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 12 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Numerator:      
Net income $ 4,399 $ 4,312 $ 4,442
Net (income) loss attributable to noncontrolling interests 0 0 1
Net income available to Arch 4,399 4,312 4,443
Preferred share dividends (40) (40) (40)
Net income available to Arch common shareholders, basic 4,359 4,272 4,403
Net income available to Arch common shareholders, diluted $ 4,359 $ 4,272 $ 4,403
Denominator:      
Weighted average common shares outstanding 368.4 372.5 368.7
Effect of dilutive common share equivalents:      
Nonvested restricted shares 1.6 2.1 2.5
Stock options [1] 5.9 7.2 7.6
Weighted average common shares and common share equivalents outstanding — diluted 375.9 381.8 378.8
Earnings per common share:      
Basic (per share) $ 11.83 $ 11.47 $ 11.94
Diluted (per share) $ 11.60 $ 11.19 $ 11.62
Options and SARs      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per common share (shares) 2.4 2.2 0.5
[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 2025, 2024 and 2023, the number of stock options excluded were 2.4 million, 2.2 million and 0.5 million, respectively.