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Employee compensation plans (Tables)
 12 Months Ended
Dec. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Share-Based Payment Arrangement, Restricted Stock Activity 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, 2023:
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 year1,690,006 $29.42 1.9 years
Granted293,222 45.66 2.6 years
Vested(341,579)25.79 — 
Forfeited(52,235)37.98 — 
Nonvested at end of year1,589,414 $32.92 1.6 years
Share-Based Payment Arrangement, Stock Appreciation Right The following table summarizes the status of the Company's outstanding OARs awards as of December 31, 2023:
Grant DateNumber of
OARs
Outstanding		Strike PriceRemaining
Contractual
Life		Fair Value as of December 31, 2023
January 11, 2019473,956 $26.45 12 days$14.88 
January 10, 2020484,790 27.54 1 year14.98 
January 11, 2021583,389 32.16 2 years13.30 
January 7, 2022617,707 49.57 3 years7.52 
January 6, 2023514,670 45.33 4 years12.38 
Total OARs Outstanding 2,674,512 
Total weighted average values$36.87 2.9 years$12.37 
Schedule of Share-Based Payment Award, Non-Options Equity Instrument, Valuation Assumptions
The fair value as of December 31, 2023 for each of the OARs was estimated using the Black-Scholes model with the following assumptions:
Grant Date
January 11, 2019January 10, 2020January 11, 2021January 7, 2022January 6, 2023
Expected term (1)
12 days1 year2 years3 years4 years
Expected volatility factor (2)
17.096 %33.244 %34.355 %33.422 %40.315 %
Risk-free interest rate (3)
1.741 %4.750 %4.244 %4.008 %3.927 %
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, 2023.
(4) Quarterly dividends were used to compute the expected annual dividend yield.