Segment and Geographic Area Information - Schedule of Reporting Information (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Segment Reporting Information [Line Items]
Net revenues	$ 1,394.8	$ 1,354.5	$ 1,330.3	$ 1,287.2	$ 1,376.3	$ 1,318.7	$ 1,293.7	$ 1,202.5	$ 5,366.8	$ 5,191.2	$ 4,607.5
Operating profit									1,498.4	1,396.4	1,210.2
Assets:
Operating assets	1,411.3				1,269.6				1,411.3	1,269.6	1,206.2
Intangible assets, net	15,483.1				13,188.9				15,483.1	13,188.9	12,295.5
Other	1,214.5				791.0				1,214.5	791.0	814.7
Total assets	18,108.9				15,249.5				18,108.9	15,249.5	14,316.4
Capital expenditures									52.7	49.1	48.8
Capitalized software expenditures									10.2	9.5	10.8
Depreciation and other amortization									416.0	367.0	345.0
Gatan business and Imaging businesses | Disposal group, held-for-sale, not discontinued operations
Assets:
Operating assets classified as held for sale	91.8								91.8
Intangible assets, net classified as held for sale	159.4								159.4
Operating Segments | Application Software
Segment Reporting Information [Line Items]
Net revenues									1,588.0	1,452.7	1,222.2
Operating profit									405.4	358.0	279.0
Assets:
Operating assets	382.2				392.6				382.2	392.6	288.1
Intangible assets, net	7,833.6				7,799.9				7,833.6	7,799.9	6,668.1
Other	168.5				163.6				168.5	163.6	180.4
Capital expenditures									17.4	19.0	17.9
Capitalized software expenditures									9.7	9.1	9.9
Depreciation and other amortization									230.2	212.8	183.5
Operating Segments | Network Software & Systems
Segment Reporting Information [Line Items]
Net revenues									1,529.5	1,345.2	1,254.1
Operating profit									538.5	484.4	438.7
Assets:
Operating assets	472.0				338.3				472.0	338.3	318.3
Intangible assets, net	5,871.8				3,582.0				5,871.8	3,582.0	3,598.7
Other	62.5				38.4				62.5	38.4	45.6
Capital expenditures									15.1	8.3	13.3
Capitalized software expenditures									0.5	0.4	0.8
Depreciation and other amortization									132.9	98.1	99.9
Operating Segments | Measurement &Analytical Solutions
Segment Reporting Information [Line Items]
Net revenues									1,596.4	1,705.6	1,531.3
Operating profit									501.1	523.9	446.0
Assets:
Operating assets	347.0				336.2				347.0	336.2	402.7
Intangible assets, net	1,420.0				1,444.5				1,420.0	1,444.5	1,649.7
Other	120.4				391.2				120.4	391.2	184.8
Capital expenditures									17.3	15.4	13.5
Capitalized software expenditures									0.0	0.0	0.1
Depreciation and other amortization									40.3	42.6	47.5
Operating Segments | Process Technologies
Segment Reporting Information [Line Items]
Net revenues									652.9	687.7	599.9
Operating profit									225.8	233.6	188.3
Assets:
Operating assets	205.7				196.4				205.7	196.4	189.7
Intangible assets, net	357.7				362.5				357.7	362.5	379.0
Other	69.0				94.5				69.0	94.5	185.1
Capital expenditures									2.7	6.3	3.1
Capitalized software expenditures									0.0	0.0	0.0
Depreciation and other amortization									12.0	12.7	13.5
Corporate
Segment Reporting Information [Line Items]
Net revenues									0.0	0.0	0.0
Operating profit									(172.4)	(203.5)	(141.8)
Assets:
Operating assets	4.4				6.1				4.4	6.1	7.4
Intangible assets, net	0.0				0.0				0.0	0.0	0.0
Other	$ 794.1				$ 103.3				794.1	103.3	218.8
Capital expenditures									0.2	0.1	1.0
Capitalized software expenditures									0.0	0.0	0.0
Depreciation and other amortization									$ 0.6	$ 0.8	$ 0.6