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Earnings Per Common Share (Tables) | 12 Months Ended
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Dec. 31, 2022
Earnings Per Share [Abstract] |
Schedule of computation of basic and diluted earnings per common share | The following table sets forth the computation of basic and diluted earnings per common share:
| Year Ended December 31,
| 2022 |  | 2021 |  | 2020
Numerator: |  |  |  |  |
Net income | $ | 1,482,423 |  |  | $ | 2,239,462 |  |  | $ | 1,465,711 |
Amounts attributable to noncontrolling interests | (5,490) |  |  | (82,613) |  |  | (60,190) |
Net income available to Arch | 1,476,933 |  |  | 2,156,849 |  |  | 1,405,521 |
Preferred dividends | (40,736) |  |  | (48,343) |  |  | (41,612) |
Loss on redemption of preferred shares | — |  |  | (15,101) |  |  | — |
Net income available to Arch common shareholders | $ | 1,436,197 |  |  | $ | 2,093,405 |  |  | $ | 1,363,909 |
Denominator: |  |  |  |  |
Weighted average common shares outstanding | 368,612,197 |  |  | 391,748,715 |  |  | 403,062,179 |
Effect of dilutive common share equivalents: |  |  |  |  |
Nonvested restricted shares | 2,103,036 |  |  | 1,996,524 |  |  | 1,682,309 |
Stock options (1) | 6,894,534 |  |  | 6,600,697 |  |  | 5,514,967 |
Weighted average common shares and common share equivalents outstanding – diluted | 377,609,767 |  |  | 400,345,936 |  |  | 410,259,455 |
Earnings per common share: |  |  |  |  |
Basic | $ | 3.90 |  |  | $ | 5.34 |  |  | $ | 3.38 |
Diluted | $ | 3.80 |  |  | $ | 5.23 |  |  | $ | 3.32 |
(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 2022, 2021 and 2020, the number of stock options excluded were 798,053, 2,398,608 and 2,249,821, respectively.

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- Definition Tabular disclosure of an entity's basic and diluted earnings per share calculations, including a reconciliation of numerators and denominators of the basic and diluted per-share computations for income from continuing operations. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=124432515&loc=d3e3550-109257 + Details
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