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Stock Based Compensation (Tables) | 9 Months Ended
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Sep. 30, 2024
Equity [Abstract] |
Schedule of Stock-Based Compensation Expense Recognized | The amount of stock-based compensation expense recognized in our Condensed Consolidated Statements of Comprehensive Income for the three and nine months ended September 30, 2024 and 2023 was as follows (in millions):
|  | Three Months Ended September 30, |  |  | Nine Months Ended September 30, |
Condensed Consolidated Statements of Comprehensive Income Classification |  | 2024 |  |  | 2023 |  |  | 2024 |  |  | 2023 |
Cost of software-enabled services |  | $ | 18.2 |  |  | $ | 14.5 |  |  | $ | 51.3 |  |  | $ | 42.9 |
Cost of license, maintenance and other related |  |  | 2.1 |  |  |  | 1.8 |  |  |  | 5.9 |  |  |  | 5.1 |
Total cost of revenues |  |  | 20.3 |  |  |  | 16.3 |  |  |  | 57.2 |  |  |  | 48.0 |
Selling and marketing |  |  | 9.0 |  |  |  | 7.3 |  |  |  | 26.0 |  |  |  | 21.8 |
Research and development |  |  | 7.6 |  |  |  | 5.8 |  |  |  | 21.6 |  |  |  | 15.8 |
General and administrative |  |  | 15.3 |  |  |  | 12.7 |  |  |  | 43.1 |  |  |  | 31.9 |
Total operating expenses |  |  | 31.9 |  |  |  | 25.8 |  |  |  | 90.7 |  |  |  | 69.5 |
Total stock-based compensation expense |  | $ | 52.2 |  |  | $ | 42.1 |  |  | $ | 147.9 |  |  | $ | 117.5 |
Summary of Stock Option and Stock Appreciation Rights ("SARs") Restricted Stock Units ("RSUs") and Performance Stock Units ("PSU") Activity | The following table summarizes stock option and stock appreciation rights (“SARs”) activity, as well as performance stock units (“PSUs”) and restricted stock units (“RSUs”) activity, for the nine months ended September 30, 2024 (shares in millions):
|  | Stock Options and SARs |  |  | PSUs and RSUs |  |
Outstanding at December 31, 2023 |  |  | 38.8 |  |  |  | 3.5 |  |
Granted |  |  | 1.8 |  |  |  | 3.4 |  |
Cancelled/forfeited |  |  | (1.4 | ) |  |  | (1.0 | ) |
Exercised |  |  | (6.0 | ) |  |  | — |  |
Vested |  |  | — |  |  |  | (0.8 | ) |
Outstanding at September 30, 2024 |  |  | 33.2 |  |  |  | 5.1 |  |

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