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Share Based Compensation (Tables) | 12 Months Ended
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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:
| 2024 |  | 2023 |  | 2022
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 years | 4.2 |  | 4.2 |  | 4.3
Risk-free interest rate | 4.0 | % |  | 3.7 | % |  | 1.6 | %
Dividend yield | 1.8 | % |  | 1.9 | % |  | 2.0 | %
Expected stock price volatility | 34.7 | % |  | 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 year |  | 997 |  | $ | 89.85 |
Granted |  | 194 |  | 126.47 |
Exercised |  | (241) |  | 78.61 |
Forfeited/Cancelled |  | (2) |  | 122.15 |
Outstanding at end of the year |  | 948 |  | 100.13 |
Vested and exercisable at end of the year |  | 569 |  | 87.98 |
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 Options |  | Weighted-Average Remaining Contractual Term (in years) |  | Aggregate Intrinsic Value (in millions)
Exercised in 2022 |  |  |  | $ | 13.4
Exercised in 2023 |  |  |  | 9.0 |
Exercised in 2024 |  |  |  | 13.6 |
Outstanding at December 31, 2024 (a) |  | 3.8 |  | 52.0
Vested and exercisable at December 31, 2024 |  | 2.8 |  | 38.1 |
_______ (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 year | 100 |  |  | $ | 103.19 |
Granted | 32 |  |  | 126.52 |
Vested | (30) |  |  | 91.52 |
Forfeited | — |  |  | 124.41 |
Nonvested at end of the year | 102 |  |  | 113.79 |
Performance Shares: |  |  |
Nonvested at beginning of the year | 97 |  |  | $ | 106.89 |
Granted | 39 |  |  | 126.47 |
Net increase due to estimated performance | 5 |  |  | 115.81 |
Vested | (52) |  |  | 101.03 |
Nonvested at end of the year | 89 |  |  | 119.39 |

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