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Earnings Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Numerator:      
Net income $ 4,312 $ 4,442 $ 1,482
Net (income) loss attributable to noncontrolling interests 0 1 (6)
Net income available to Arch 4,312 4,443 1,476
Preferred share dividends (40) (40) (40)
Net income available to Arch common shareholders $ 4,272 $ 4,403 $ 1,436
Denominator:      
Weighted average common shares outstanding 372.5 368.7 368.6
Effect of dilutive common share equivalents:      
Nonvested restricted shares 2.1 2.5 2.1
Stock options [1] 7.2 7.6 6.9
Weighted average common shares and common share equivalents outstanding — diluted 381.8 378.8 377.6
Earnings per common share:      
Basic (per share) $ 11.47 $ 11.94 $ 3.90
Diluted (per share) $ 11.19 $ 11.62 $ 3.80
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) 2.2 0.5 0.8
[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 2024, 2023 and 2022, the number of stock options excluded were 2.2 million, 0.5 million and 0.8 million, respectively.