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Summary of Accounting Policies - Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2022	Sep. 30, 2022	Jun. 30, 2022	Mar. 31, 2022	Dec. 31, 2021	Sep. 30, 2021	Jun. 30, 2021	Mar. 31, 2021	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Disaggregation of Revenue [Line Items]
Net revenues	$ 1,430.9	$ 1,350.3	$ 1,310.8	$ 1,279.8	$ 1,256.6	$ 1,232.1	$ 1,189.8	$ 1,155.3	$ 5,371.8	$ 4,833.8	$ 4,022.4
Application Software
Disaggregation of Revenue [Line Items]
Net revenues									2,639.5	2,366.7	1,785.8
Network Software
Disaggregation of Revenue [Line Items]
Net revenues									1,378.5	1,223.8	1,069.4
Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									1,353.8	1,243.3	1,167.2
Software related
Disaggregation of Revenue [Line Items]
Net revenues									4,031.2	3,599.1	2,861.6
Software related | Application Software
Disaggregation of Revenue [Line Items]
Net revenues									2,639.5	2,366.7	1,785.8
Software related | Network Software
Disaggregation of Revenue [Line Items]
Net revenues									1,378.5	1,223.8	1,069.4
Software related | Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									13.2	8.6	6.4
Recurring
Disaggregation of Revenue [Line Items]
Net revenues									2,939.4	2,553.3	1,964.7
Recurring | Application Software
Disaggregation of Revenue [Line Items]
Net revenues									1,946.0	1,708.0	1,251.5
Recurring | Network Software
Disaggregation of Revenue [Line Items]
Net revenues									981.4	837.5	707.4
Recurring | Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									12.0	7.8	5.8
Reoccurring
Disaggregation of Revenue [Line Items]
Net revenues									370.4	360.9	300.3
Reoccurring | Application Software
Disaggregation of Revenue [Line Items]
Net revenues									124.2	111.4	64.8
Reoccurring | Network Software
Disaggregation of Revenue [Line Items]
Net revenues									246.2	249.5	235.5
Reoccurring | Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									0.0	0.0	0.0
Non-recurring
Disaggregation of Revenue [Line Items]
Net revenues									721.4	684.9	596.6
Non-recurring | Application Software
Disaggregation of Revenue [Line Items]
Net revenues									569.3	547.3	469.5
Non-recurring | Network Software
Disaggregation of Revenue [Line Items]
Net revenues									150.9	136.8	126.5
Non-recurring | Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									1.2	0.8	0.6
Product Revenue
Disaggregation of Revenue [Line Items]
Net revenues									1,340.6	1,234.7	1,160.8
Product Revenue | Application Software
Disaggregation of Revenue [Line Items]
Net revenues									0.0	0.0	0.0
Product Revenue | Network Software
Disaggregation of Revenue [Line Items]
Net revenues									0.0	0.0	0.0
Product Revenue | Technology Enabled Products
Disaggregation of Revenue [Line Items]
Net revenues									$ 1,340.6	$ 1,234.7	$ 1,160.8

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