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Business Segments (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2021	Mar. 31, 2020
Segment Reporting Information [Line Items]
Net revenues:	$ 1,528.6	$ 1,350.7
Percent change in net revenues	13.20%
Gross profit:	$ 993.8	856.8
Percent change in gross profit	16.00%
Operating profit	$ 451.6	393.6
Percent change in operating profit	14.70%
Long-lived assets:	$ 226.4	193.7
Percent change in long-lived assets	16.90%
Corporate
Segment Reporting Information [Line Items]
Unallocated corporate general and administrative expenses	$ 51.1	44.4
Application Software
Segment Reporting Information [Line Items]
Net revenues:	$ 576.6	405.1
Percent change in net revenues	42.30%
Gross profit:	$ 398.7	270.4
Percent change in gross profit	47.40%
Operating profit	$ 153.7	97.6
Percent change in operating profit	57.50%
Long-lived assets:	$ 126.7	85.1
Percent change in long-lived assets	48.90%
Network Software & Systems
Segment Reporting Information [Line Items]
Net revenues:	$ 440.2	438.2
Percent change in net revenues	0.50%
Gross profit:	$ 299.4	293.2
Percent change in gross profit	2.10%
Operating profit	$ 135.5	138.7
Percent change in operating profit	(2.30%)
Long-lived assets:	$ 44.8	48.5
Percent change in long-lived assets	(7.60%)
Measurement & Analytical Solutions
Segment Reporting Information [Line Items]
Net revenues:	$ 381.0	365.2
Percent change in net revenues	4.30%
Gross profit:	$ 224.7	214.6
Percent change in gross profit	4.70%
Operating profit	$ 124.1	114.0
Percent change in operating profit	8.90%
Long-lived assets:	$ 35.4	39.1
Percent change in long-lived assets	(9.50%)
Process Technologies
Segment Reporting Information [Line Items]
Net revenues:	$ 130.8	142.2
Percent change in net revenues	(8.00%)
Gross profit:	$ 71.0	78.6
Percent change in gross profit	(9.70%)
Operating profit	$ 38.3	43.3
Percent change in operating profit	(11.50%)
Long-lived assets:	$ 19.5	$ 21.0
Percent change in long-lived assets	(7.10%)

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