Stock Based Compensation (Tables)

6 Months Ended

Jun. 30, 2025

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 six months ended June 30, 2025 and 2024 was as follows (in millions):


		Three Months Ended June 30,								Six Months Ended June 30,
Condensed Consolidated Statements of Comprehensive Income Classification		2025				2024				2025				2024
Cost of software-enabled services		$	21.2			$	17.7			$	38.6			$	33.1
Cost of license, maintenance and other related			2.3				2.2				4.5				3.8
Total cost of revenues			23.5				19.9				43.1				36.9
Selling and marketing			10.1				9.3				19.2				17.0
Research and development			8.5				7.8				16.1				14.0
General and administrative			18.1				13.6				34.5				27.8
Total operating expenses			36.7				30.7				69.8				58.8
Total stock-based compensation expense		$	60.2			$	50.6			$	112.9			$	95.7

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 six months ended June 30, 2025 (shares in millions):


		Stock Options and SARs				PSUs and RSUs
Outstanding at December 31, 2024			31.3				4.8
Granted			1.8				2.6
Cancelled/forfeited			(0.9	)			(0.2	)
Exercised			(4.4	)			—
Vested			—				(1.5	)
Outstanding at June 30, 2025			27.8				5.7