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Earnings Per Common Share (Tables) | 9 Months Ended
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Sep. 30, 2020
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:
| Three Months Ended |  | Nine Months Ended
| September 30, |  | September 30,
| 2020 |  | 2019 |  | 2020 |  | 2019
Numerator: |  |  |  |  |  |  |
Net income (loss) | $ | 488,682 |  |  | $ | 399,189 |  |  | $ | 866,397 |  |  | $ | 1,380,532 |
Amounts attributable to noncontrolling interests | (69,643) |  |  | (6,736) |  |  | (4,420) |  |  | (70,597) |
Net income (loss) available to Arch | 419,039 |  |  | 392,453 |  |  | 861,977 |  |  | 1,309,935 |
Preferred dividends | (10,403) |  |  | (10,403) |  |  | (31,209) |  |  | (31,209) |
Net income (loss) available to Arch common shareholders | $ | 408,636 |  |  | $ | 382,050 |  |  | $ | 830,768 |  |  | $ | 1,278,726 |
Denominator: |  |  |  |  |  |  |
Weighted average common shares and common share equivalents outstanding — basic | 402,850,485 |  |  | 402,564,121 |  |  | 403,081,266 |  |  | 401,419,153 |
Effect of dilutive common share equivalents: |  |  |  |  |  |  |
Nonvested restricted shares | 1,580,791 |  |  | 1,895,972 |  |  | 1,690,447 |  |  | 1,637,015 |
Stock options (1) | 4,763,381 |  |  | 8,720,108 |  |  | 5,543,184 |  |  | 7,751,234 |
Weighted average common shares and common share equivalents outstanding — diluted | 409,194,657 |  |  | 413,180,201 |  |  | 410,314,897 |  |  | 410,807,402 |
Earnings per common share: |  |  |  |  |  |  |
Basic | $ | 1.01 |  |  | $ | 0.95 |  |  | $ | 2.06 |  |  | $ | 3.19 |
Diluted | $ | 1.00 |  |  | $ | 0.92 |  |  | $ | 2.02 |  |  | $ | 3.11 |
(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 2020 third quarter and 2019 third quarter, the number of stock options excluded were 4,713,241 and 37,394, respectively. For the nine months ended September 30, 2020 and 2019 period, the number of stock options excluded were 2,361,413 and 2,198,115, 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 http://asc.fasb.org/extlink&oid=6371337&loc=d3e3550-109257 + Details
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