Consolidated Statements of Operations - USD ($) $ in Millions		3 Months Ended		9 Months Ended
		Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Income Statement [Abstract]
Revenue		$ 303.6	$ 313.8	$ 905.2	$ 923.1
Cost of service:
Cost of service [Extensible List]				Service [Member]	Service [Member]
Cost of service	[1]	37.7	35.3	$ 107.9	$ 104.4
Amortization of acquired technology		9.6	9.5	28.7	29.5
Gross profit		256.3	269.0	768.6	789.2
Operating expenses:
Sales and marketing	[1]	99.1	102.4	299.2	310.1
Research and development	[1]	47.7	47.6	139.7	143.2
General and administrative	[1]	60.6	50.5	247.0	130.4
Amortization of other acquired intangibles		5.4	5.4	16.2	16.5
Total operating expenses		212.8	205.9	702.1	600.2
Income from operations		43.5	63.1	66.5	189.0
Interest expense, net		9.6	11.9	29.5	33.8
Loss on debt modification and extinguishment		0.0	0.0	0.7	2.2
Other income, net		(1.0)	(8.0)	(3.5)	(29.1)
Income before income taxes		34.9	59.2	39.8	182.1
Provision for income taxes		11.1	29.0	25.3	69.3
Net income		$ 23.8	$ 30.2	$ 14.5	$ 112.8
Net income per share of common stock:
Basic (in dollars per share)		$ 0.07	$ 0.08	$ 0.04	$ 0.28
Diluted (in dollars per share)		$ 0.07	$ 0.08	$ 0.04	$ 0.28

[1] Amounts include equity-based compensation expense, as follows: Three Months Ended September 30,Nine Months Ended September 30,2024202320242023Cost of service$2.7 $4.3 $7.9 $11.8 Sales and marketing12.3 17.5 38.1 54.6 Research and development10.5 11.7 29.5 34.0 General and administrative11.1 9.4 28.7 26.5 Total equity-based compensation expense$36.6 $42.9 $104.2 $126.9