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Segment Results - Summary (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Segment Reporting [Abstract]        
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax $ 1,279.1 $ 1,025.4 $ 2,408.6 $ 1,642.2
Adjusted EBITDA 329.7 243.1 608.4 370.8
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes:        
Interest expense 22.7 30.8 45.8 57.9
Restructuring and related business transformation costs 6.7 31.0 9.4 69.6
Acquisition and other transaction related expenses and non-cash charges 15.3 12.8 23.6 67.8
Stock-based compensation     43.1 15.4
Foreign currency transaction losses, net 3.4 4.9 (14.7) 6.9
Loss on extinguishment of debt 0.0 0.0 0.0 2.0
Income (Loss) from Continuing Operations Before Income Taxes 151.5 (73.5) 252.2 (181.7)
Provision for income taxes 12.5 78.4 23.1 11.5
Loss on equity method investments (0.7) 0.0 (0.7) 0.0
Income (Loss) from Continuing Operations 138.3 (151.9) 228.4 (193.2)
Income (loss) from discontinued operations, net of tax 96.3 (24.6) (83.9) (20.2)
Net Income (Loss) 234.6 (176.5) 144.5 (213.4)
Depreciation of rental equipment 1.0 0.4 2.0 0.9
Restructuring Costs [Abstract]        
Restructuring charges 6.8 29.4 9.2 67.4
Facility reorganization, relocation and other costs 0.0 0.1 0.0 0.5
Other, net (0.1) 1.5 0.2 1.7
Total restructuring and related business transformation costs 6.7 31.0 9.4 69.6
Stock-based compensation expense recognized in continuing operations 21.5 12.1 43.1 15.4
Increase in stock-based compensation expense due to costs associated with employer taxes       (0.5)
Industrial Technologies and Services        
Segment Reporting [Abstract]        
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax 1,047.5 829.6 1,961.3 1,333.6
Precision and Science Technologies        
Segment Reporting [Abstract]        
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax 231.6 195.8 447.3 308.6
Operating Segments | Industrial Technologies and Services        
Segment Reporting [Abstract]        
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax 1,047.5 829.6 1,961.3 1,333.6
Adjusted EBITDA 258.6 183.8 470.1 278.6
Operating Segments | Precision and Science Technologies        
Segment Reporting [Abstract]        
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax 231.6 195.8 447.3 308.6
Adjusted EBITDA 71.1 59.3 138.3 92.2
Corporate expenses not allocated to segments        
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes:        
Corporate expenses not allocated to segments 37.6 25.6 72.3 41.1
Segment Reconciling Items        
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes:        
Interest expense 22.7 30.8 45.8 57.9
Depreciation and amortization expenses 101.3 118.9 205.8 177.9
Restructuring and related business transformation costs 6.7 31.0 9.4 69.6
Acquisition and other transaction related expenses and non-cash charges 14.3 90.3 24.8 179.8
Stock-based compensation 21.5 12.1 43.1 14.9
Foreign currency transaction losses, net 3.4 4.9 (14.7) 6.9
Loss on extinguishment of debt 0.0 0.0 0.0 2.0
Gain on settlement of post-acquisition contingencies (30.1) 0.0 (30.1) 0.0
Other adjustments 0.8 3.0 (0.2) 2.4
Income (Loss) from Continuing Operations Before Income Taxes 151.5 (73.5) 252.2 (181.7)
Restructuring Costs [Abstract]        
Total restructuring and related business transformation costs $ 6.7 $ 31.0 $ 9.4 $ 69.6