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Earnings Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Numerator:    
Net income (loss) $ 1,120 $ 717
Net (income) loss attributable to noncontrolling interests 0 (2)
Net income available to Arch 1,120 715
Preferred dividends (10) (10)
Net income (loss) available to Arch common shareholders $ 1,110 $ 705
Denominator:    
Weighted average common shares outstanding — basic 370.9 367.3
Effect of dilutive common share equivalents:    
Nonvested restricted shares 2.3 2.8
Stock options [1] 7.3 7.5
Weighted average common shares and common share equivalents outstanding — diluted 380.5 377.6
Earnings per common share:    
Basic (per share) $ 2.99 $ 1.92
Diluted (per share) $ 2.92 $ 1.87
Stock options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of earnings per common share (shares) 0.6 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 the 2024 first quarter and 2023 first quarter, the number of stock options excluded were 0.6 million and 0.5 million, respectively.