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v3.25.4

Stock-based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2025
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Summary of Weighted-Average Assumptions using Monte Carlo simulation model | For t he stock-options valued using the Black-Scholes option-pricing model, we used the following weighted-average assumptions:
|  | Time-based stock options |  |
|  | 2025 |  |  | 2024 |  |  | 2023 |  |
Expected term to exercise (years) |  |  | 4.0 |  |  |  | 4.0 |  |  |  | 4.0 |  |
Expected volatility |  |  | 23.0 | % |  |  | 29.5 | % |  |  | 34.6 | % |
Risk-free interest rate |  |  | 4.3 | % |  |  | 4.3 | % |  |  | 4.4 | % |
Expected dividend yield |  |  | 1.1 | % |  |  | 1.5 | % |  |  | 1.4 | % |
Schedule of Stock-Based Compensation Expense Recognized | The amount of stock-based compensation expense recognized in our Consolidated Statements of Comprehensive Income for the years ended December 31, 2025, 2024 and 2023 was as follows (in millions):
|  | Year Ended December 31, |
|  | 2025 |  |  | 2024 |  |  | 2023 |
Consolidated Statements of Comprehensive Income Classification |  | Options |  | RSUs, PSUs |  | Total |  |  | Options |  | RSUs, PSUs |  | Total |  |  | Options |  | RSUs, PSUs |  | Total |
Cost of software-enabled services |  | $ | 14.1 |  | $ | 71.5 |  | $ | 85.6 |  |  | $ | 27.8 |  | $ | 43.1 |  | $ | 70.9 |  |  | $ | 34.4 |  | $ | 22.6 |  | $ | 57.0 |
Cost of license, maintenance and other related |  |  | 1.5 |  |  | 7.2 |  |  | 8.7 |  |  |  | 3.2 |  |  | 4.8 |  |  | 8.0 |  |  |  | 4.5 |  |  | 2.3 |  |  | 6.8 |
Total cost of revenues |  |  | 15.6 |  |  | 78.7 |  |  | 94.3 |  |  |  | 31.0 |  |  | 47.9 |  |  | 78.9 |  |  |  | 38.9 |  |  | 24.9 |  |  | 63.8 |
Selling and marketing |  | 14.4 |  |  | 43.7 |  |  | 58.1 |  |  | 17.1 |  |  | 18.3 |  |  | 35.4 |  |  | 19.7 |  |  | 9.3 |  |  | 29.0 |
Research and development |  | 7.3 |  |  | 35.2 |  |  | 42.5 |  |  | 12.2 |  |  | 17.6 |  |  | 29.8 |  |  | 13.9 |  |  | 7.5 |  |  | 21.4 |
General and administrative |  | 11.5 |  |  | 51.3 |  |  | 62.8 |  |  |  | 24.0 |  |  | 35.2 |  |  | 59.2 |  |  | 28.1 |  |  | 17.1 |  |  | 45.2 |
Total operating expenses |  |  | 33.2 |  |  | 130.2 |  |  | 163.4 |  |  |  | 53.3 |  |  | 71.1 |  |  | 124.4 |  |  |  | 61.7 |  |  | 33.9 |  |  | 95.6 |
Total stock-based compensation expense |  | $ | 48.8 |  | $ | 208.9 |  | $ | 257.7 |  |  | $ | 84.3 |  | $ | 119.0 |  | $ | 203.3 |  |  | $ | 100.6 |  | $ | 58.8 |  | $ | 159.4 |
Summary of Stock Option and SAR Activity as well as RSU Activity | The following table summarizes stock option and SAR activity as well as RSU and PSU activity as of and for the years ended December 31, 2025, 2024 and 2023 (share data in millions):
|  | Stock Options and SARs |  |  | PSUs and RSUs |  |
|  | Shares |  |  | Weighted-Average Exercise Price |  |  | Shares |  |  | Weighted-Average Grant Date Fair Value |  |
Outstanding at December 31, 2022 |  |  | 43.6 |  |  | $ | 55.91 |  |  |  | 3.4 |  |  | $ | 58.71 |  |
Granted |  |  | 0.6 |  |  | $ | 58.75 |  |  |  | 1.4 |  |  | $ | 58.54 |  |
Cancelled/forfeited |  |  | (1.9 | ) |  | $ | 68.89 |  |  |  | (0.6 | ) |  | $ | 66.09 |  |
Exercised |  |  | (3.5 | ) |  | $ | 33.49 |  |  |  | — |  |  | $ | — |  |
Vested |  |  | — |  |  | $ | — |  |  |  | (0.7 | ) |  | $ | 52.72 |  |
Outstanding at December 31, 2023 |  |  | 38.8 |  |  | $ | 57.38 |  |  |  | 3.5 |  |  | $ | 59.04 |  |
Granted |  |  | 2.0 |  |  | $ | 65.83 |  |  |  | 3.5 |  |  | $ | 65.04 |  |
Cancelled/forfeited |  |  | (1.6 | ) |  | $ | 71.97 |  |  |  | (1.1 | ) |  | $ | 67.61 |  |
Exercised |  |  | (7.9 | ) |  | $ | 45.36 |  |  |  | — |  |  | $ | — |  |
Vested |  |  | — |  |  | $ | — |  |  |  | (1.1 | ) |  | $ | 54.77 |  |
Outstanding at December 31, 2024 |  |  | 31.3 |  |  | $ | 60.22 |  |  |  | 4.8 |  |  | $ | 62.69 |  |
Granted |  |  | 1.8 |  |  | $ | 88.76 |  |  |  | 2.9 |  |  | $ | 88.07 |  |
Cancelled/forfeited |  |  | (1.0 | ) |  | $ | 76.39 |  |  |  | (0.4 | ) |  | $ | 70.81 |  |
Exercised |  |  | (7.8 | ) |  | $ | 54.94 |  |  |  | — |  |  | $ | — |  |
Vested |  |  | — |  |  | $ | — |  |  |  | (2.3 | ) |  | $ | 61.01 |  |
Outstanding at December 31, 2025 |  |  | 24.3 |  |  | $ | 63.39 |  |  |  | 5.0 |  |  | $ | 77.88 |  |
Summary of Vested Stock Options and SARs Outstanding that are Currently Exercisable and Stock Options and SARs Outstanding that are Expected to Vest | The following table summarizes information about vested stock options outstanding that are currently exercisable and stock options outstanding that are exercisable and expected to vest at December 31, 2025:
Outstanding, Vested Stock Options Currently Exercisable |  |  | Outstanding Stock Options Exercisable and Expected to Vest |
|  |  |  |  |  |  |  |  | Weighted- |  |  |  |  |  |  |  |  |  |  | Weighted- |
|  |  | Weighted- |  |  |  |  |  | Average |  |  |  |  | Weighted- |  |  |  |  |  | Average |
|  |  | Average |  |  | Aggregate |  |  | Remaining |  |  |  |  | Average |  |  | Aggregate |  |  | Remaining |
|  |  | Exercise |  |  | Intrinsic |  |  | Contractual |  |  |  |  | Exercise |  |  | Intrinsic |  |  | Contractual |
Shares |  |  | Price |  |  | Value |  |  | Term |  |  | Shares |  | Price |  |  | Value |  |  | Term |
(In millions) |  |  |  |  |  | (In millions) |  |  | (Years) |  |  | (In millions) |  |  |  |  | (In millions) |  |  | (Years) |
| 20.7 |  |  | $ | 61.46 |  |  | $ | 537.6 |  |  |  | 4.51 |  |  | 24.3 |  | $ | 63.39 |  |  | $ | 587.0 |  |  |  | 5.08 |
Performance Based Stock Units [Member] |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Summary of Weighted-Average Assumptions using Monte Carlo simulation model | For the PSUs with a market condition valued using the Monte Carlo simulation model, we used the following weighted-average assumptions:
|  | PSUs |
|  | 2025 |  |  | 2024 |  |  | 2023 |
Expected life (years) |  |  | 2.9 |  |  |  | 2.9 |  |  | 2.8 |
Expected volatility |  |  | 23.1 | % |  |  | 23.9 | % |  |  | 27.4 | %
Risk-free interest rate |  |  | 4.2 | % |  |  | 4.5 | % |  |  | 4.6 | %
Expected dividend yield |  |  | 1.1 | % |  |  | 1.5 | % |  |  | 1.4 | %

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