Condensed Consolidated Statements of Comprehensive (Loss) Income - USD ($) shares in Millions, $ in Millions	3 Months Ended
	Mar. 31, 2020	Mar. 31, 2019
Revenues:
Total revenues	$ 1,173.6	$ 1,137.2
Cost of revenues:
Total cost of revenues	665.6	661.9
Gross profit	508.0	475.3
Operating expenses:
Selling and marketing	91.4	87.0
Research and development	104.9	94.8
General and administrative	92.9	91.5
Total operating expenses	289.2	273.3
Operating income	218.8	202.0
Interest expense, net	(77.4)	(101.6)
Other (expense) income, net	(15.3)	3.5
Equity in earnings of unconsolidated affiliates, net	0.7
Loss on extinguishment of debt	(2.8)	(7.1)
Income before income taxes	124.0	96.8
Provision for income taxes	24.8	16.0
Net income	$ 99.2	$ 80.8
Basic earnings per share	$ 0.39	$ 0.32
Diluted earnings per share	$ 0.37	$ 0.31
Basic weighted average number of common shares outstanding	255.3	251.5
Diluted weighted average number of common and common equivalent shares outstanding	265.6	263.7
Net income	$ 99.2	$ 80.8
Other comprehensive (loss) income, net of tax:
Change in unrealized loss on interest rate swaps	(2.4)
Foreign currency exchange translation adjustment	(150.7)	41.8
Total other comprehensive (loss) income, net of tax	(153.1)	41.8
Comprehensive (loss) income	(53.9)	122.6
Software-enabled Services [Member]
Revenues:
Total revenues	989.5	972.0
Cost of revenues:
Total cost of revenues	583.5	586.9
License, Maintenance and Related [Member]
Revenues:
Total revenues	184.1	165.2
Cost of revenues:
Total cost of revenues	$ 82.1	$ 75.0