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Segment and Geographic Area Information - Schedule of Reporting Information (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Segment Reporting Information [Line Items]                      
Net revenues $ 1,505.3 $ 1,366.1 $ 1,305.0 $ 1,350.7 $ 1,394.8 $ 1,354.5 $ 1,330.3 $ 1,287.2 $ 5,527.1 $ 5,366.8 $ 5,191.2
Operating profit                 1,431.1 1,498.4 1,396.4
Assets:                      
Operating assets 1,562.6       1,411.3       1,562.6 1,411.3 1,269.6
Intangible assets, net 21,602.1       15,483.1       21,602.1 15,483.1 13,188.9
Other 860.1       1,214.5       860.1 1,214.5 791.0
Total assets 24,024.8       18,108.9       24,024.8 18,108.9 15,249.5
Capital expenditures                 31.2 52.7 49.1
Capitalized software expenditures                 17.7 10.2 9.5
Depreciation and other amortization                 520.8 416.0 367.0
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                 1,799.9 1,588.0 1,452.7
Operating profit                 468.7 405.4 358.0
Assets:                      
Operating assets 526.6       382.2       526.6 382.2 392.6
Intangible assets, net 13,844.6       7,833.6       13,844.6 7,833.6 7,799.9
Other 173.1       168.5       173.1 168.5 163.6
Capital expenditures                 12.9 17.4 19.0
Capitalized software expenditures                 16.3 9.7 9.1
Depreciation and other amortization                 296.9 230.2 212.8
Operating Segments | Network Software & Systems                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,738.6 1,529.5 1,345.2
Operating profit                 549.8 538.5 484.4
Assets:                      
Operating assets 520.2       472.0       520.2 472.0 338.3
Intangible assets, net 5,987.0       5,871.8       5,987.0 5,871.8 3,582.0
Other 65.1       62.5       65.1 62.5 38.4
Capital expenditures                 8.9 15.1 8.3
Capitalized software expenditures                 1.4 0.5 0.4
Depreciation and other amortization                 178.5 132.9 98.1
Operating Segments | Measurement &Analytical Solutions                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,469.9 1,596.4 1,705.6
Operating profit                 473.5 501.1 523.9
Assets:                      
Operating assets 340.4       347.0       340.4 347.0 336.2
Intangible assets, net 1,414.4       1,420.0       1,414.4 1,420.0 1,444.5
Other 108.2       120.4       108.2 120.4 391.2
Capital expenditures                 8.0 17.3 15.4
Capitalized software expenditures                 0.0 0.0 0.0
Depreciation and other amortization                 34.7 40.3 42.6
Operating Segments | Process Technologies                      
Segment Reporting Information [Line Items]                      
Net revenues                 518.7 652.9 687.7
Operating profit                 131.6 225.8 233.6
Assets:                      
Operating assets 171.5       205.7       171.5 205.7 196.4
Intangible assets, net 356.1       357.7       356.1 357.7 362.5
Other 71.6       69.0       71.6 69.0 94.5
Capital expenditures                 1.2 2.7 6.3
Capitalized software expenditures                 0.0 0.0 0.0
Depreciation and other amortization                 10.4 12.0 12.7
Corporate                      
Segment Reporting Information [Line Items]                      
Net revenues                 0.0 0.0 0.0
Operating profit                 (192.5) (172.4) (203.5)
Assets:                      
Operating assets 3.9       4.4       3.9 4.4 6.1
Intangible assets, net 0.0       0.0       0.0 0.0 0.0
Other $ 442.1       $ 794.1       442.1 794.1 103.3
Capital expenditures                 0.2 0.2 0.1
Capitalized software expenditures                 0.0 0.0 0.0
Depreciation and other amortization                 $ 0.3 $ 0.6 $ 0.8