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Employee compensation plans (Tables) | 12 Months Ended
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Dec. 31, 2022
Share-Based Payment Arrangement [Abstract] |
Schedule of Company's Non-Vested ESP/EIP Awards | The following table summarizes the status of the Company's non-vested restricted Class A Stock awards under the OIP for the year ended December 31, 2022:
| Number of Class A Shares Subject to Restricted Stock Awards |  | Weighted Average Fair Value Per Share |  | Weighted Average Remaining Contractual Life
Nonvested at beginning of year | 1,542,716 |  |  | $ | 26.59 |  |  | 2.2 years
Granted | 403,823 |  |  | 38.80 |  |  | 3.2 years
Vested | (156,477) |  |  | 26.17 |  |  | — |
Forfeited | (100,056) |  |  | 28.27 |  |  | — |
Nonvested at end of year | 1,690,006 |  |  | $ | 29.42 |  |  | 1.9 years
Schedule of Stock Appreciation Rights | The following table summarizes the status of the Company's outstanding OARs awards as of December 31, 2022:
Grant Date |  | Number of OARs Outstanding |  | Strike Price |  | Remaining Contractual Life |  | Fair Value as of December 31, 2022
January 5, 2018 |  | 417,370 |  |  | $ | 27.05 |  |  | 5 days |  | $ | 15.28 |
January 11, 2019 |  | 490,016 |  |  | 26.45 |  |  | 1 year |  | 17.01 |
January 10, 2020 |  | 502,160 |  |  | 27.54 |  |  | 2 years |  | 17.47 |
January 11, 2021 |  | 606,159 |  |  | 32.16 |  |  | 3 years |  | 17.48 |
January 7, 2022 |  | 632,807 |  |  | 49.57 |  |  | 4 years |  | 11.79 |
Total OARs Outstanding |  | 2,648,512 |  |  |  |  |  |  |
Total weighted average values |  |  |  | $ | 33.58 |  |  | 3.0 years |  | $ | 15.68 |
Schedule of Assumptions Used | The fair value as of December 31, 2022 for each of the OARs was estimated using the Black-Scholes model with the following assumptions:
|  | Grant Date
|  | January 5, 2018 |  | January 11, 2019 |  | January 10, 2020 |  | January 11, 2021 |  | January 7, 2022
Expected term (1) |  | 5 days |  | 1 year |  | 2 years |  | 3 years |  | 4 years
Expected volatility factor (2) |  | 12.966 | % |  | 37.031 | % |  | 36.412 | % |  | 43.974 | % |  | 39.848 | %
Risk-free interest rate (3) |  | 0.513 | % |  | 4.680 | % |  | 4.421 | % |  | 4.221 | % |  | 4.112 | %
Quarterly dividends (4) |  | $ | 0.6 |  |  | $ | 0.6 |  |  | $ | 0.6 |  |  | $ | 0.6 |  |  | $ | 0.6 |
(1) The expected term was determined based on the remaining life of the actual awards. (2) The volatility factor was measured using the weighted average of historical daily price changes of the Company's Class A Stock over a historical period commensurate to the expected term of the awards. (3) The risk-free interest rate was based on periods equal to the expected term of the awards based on the U.S. Treasury yield curve in effect at December 31, 2022. (4) Quarterly dividends were used to compute the expected annual dividend yield.

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- Definition Tabular disclosure of the fair value of each stock appreciation rights award estimated using Black-Scholes option pricing model. + References No definition available. + Details
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- Definition Tabular disclosure of the number and weighted-average fair value and remaining contractual term for non-vested equity-based payment instruments, excluding stock (or unit) options that were outstanding at the beginning and end of the year, and the number of awards that were granted, vested, forfeited, and expired during the year. + References No definition available. + Details
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- Definition Tabular disclosure of assumption used to determine benefit obligation and net periodic benefit cost of defined benefit plan. Includes, but is not limited to, discount rate, rate of compensation increase, expected long-term rate of return on plan assets and interest crediting rate. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (k) -URI https://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 + Details
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