Stock Based Compensation (Tables)

3 Months Ended

Mar. 31, 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 months ended March 31, 2025 and 2024 was as follows (in millions):


		Three Months Ended March 31,
Condensed Consolidated Statements of Comprehensive Income Classification		2025				2024
Cost of software-enabled services		$	17.4			$	15.4
Cost of license, maintenance and other related			2.2				1.6
Total cost of revenues			19.6				17.0
Selling and marketing			9.1				7.7
Research and development			7.6				6.2
General and administrative			16.4				14.2
Total operating expenses			33.1				28.1
Total stock-based compensation expense		$	52.7			$	45.1

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 three months ended March 31, 2025 (shares in millions):


		Stock Options and SARs				PSUs and RSUs
Outstanding at December 31, 2024			31.3				4.8
Granted			1.8				2.5
Cancelled/forfeited			(0.8	)			(0.1	)
Exercised			(3.7	)			—
Vested			—				(1.1	)
Outstanding at March 31, 2025			28.6				6.1