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Share Based Compensation (Tables)
12 Months Ended
Dec. 31, 2024
Share-Based Payment Arrangement [Abstract]  
Weighted Average Fair Value and Assumptions
The following table shows the weighted-average fair value for our stock options and the assumptions we used to estimate fair value:
202420232022
Weighted-average estimated fair value$45.22 $41.06 $34.77 
Quarterly dividend rate$0.58 $0.55 $0.52 
Expected term of stock options, in years4.24.24.3
Risk-free interest rate4.0 %3.7 %1.6 %
Dividend yield1.8 %1.9 %2.0 %
Expected stock price volatility34.7 %35.4 %35.0 %
Present value of dividends
$8.87 $8.57 $8.58 
Data With Respect to Stock Options SARs Activity
The following table shows information about outstanding stock options for the year ended December 31, 2024:

Number of Stock Options
(in thousands)
Weighted-Average Exercise Price
Outstanding at beginning of the year997$89.85 
Granted194126.47 
Exercised(241)78.61 
Forfeited/Cancelled(2)122.15 
Outstanding at end of the year948100.13 
Vested and exercisable at end of the year56987.98 
Schedule of Share-Based Compensation, Aggregate Intrinsic Value and Weighted Average Remaining Contractual Term
The following table shows the aggregate intrinsic value of stock options exercised in 2024, 2023, and 2022, and the weighted-average remaining contractual term and aggregate intrinsic value of stock options outstanding and vested as of December 31, 2024:
Stock OptionsWeighted-Average Remaining Contractual Term (in years)Aggregate Intrinsic Value
(in millions)
Exercised in 2022$13.4
Exercised in 20239.0 
Exercised in 202413.6 
Outstanding at December 31, 2024 (a)3.852.0
Vested and exercisable at December 31, 20242.838.1 
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(a) As of December 31, 2024, 948,100 stock options were outstanding.
Schedule of Share-Based Compensation, Restricted Stock Units and Performance Shares Award Activity
The following table shows information about restricted stock units and performance shares for the year ended December 31, 2024:

Number of Share Units Outstanding (in thousands)Weighted-Average Grant-Date Fair Value
Restricted Stock Units:
Nonvested at beginning of the year100 $103.19 
Granted32 126.52 
Vested(30)91.52 
Forfeited— 124.41 
Nonvested at end of the year102 113.79 
Performance Shares:
Nonvested at beginning of the year97 $106.89 
Granted39 126.47 
Net increase due to estimated performance115.81 
Vested(52)101.03 
Nonvested at end of the year89 119.39