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Business Acquisitions and Assets and Liabilities Held for Sale (Details)
$ / shares in Units, $ in Millions
12 Months Ended
Oct. 29, 2019
USD ($)
Feb. 05, 2019
USD ($)
Jun. 04, 2018
USD ($)
May 15, 2017
USD ($)
Dec. 31, 2019
USD ($)
acquisition
Dec. 31, 2018
USD ($)
acquisition
Dec. 31, 2017
USD ($)
acquisition
Aug. 22, 2019
Apr. 18, 2019
Jul. 10, 2018
Jun. 30, 2018
USD ($)
Jun. 07, 2018
Nov. 17, 2017
$ / shares
Sep. 15, 2017
Aug. 04, 2017
Business Acquisition [Line Items]                              
Goodwill         $ 10,815.4 $ 9,346.8 $ 8,820.3                
Gatan | Thermo Fisher | Disposal group, held-for-sale, not discontinued operations                              
Business Acquisition [Line Items]                              
Percentage of voting interests to be sold                     100.00%        
Consideration receivable or received on disposal                     $ 925.0        
Gatan | AMETEK | Disposal group, disposed of by sale, not discontinued operations                              
Business Acquisition [Line Items]                              
Consideration receivable or received on disposal $ 925.0                            
Pretax gain 801.1                            
Income tax expense in connection with sale $ 201.2                            
Imaging Businesses | Teledyne | Disposal group, disposed of by sale, not discontinued operations                              
Business Acquisition [Line Items]                              
Consideration receivable or received on disposal   $ 225.0                          
Pretax gain   119.6                          
Income tax expense in connection with sale   $ 32.2                          
Product line in Process Technologies segment | Disposal group, disposed of by sale, not discontinued operations                              
Business Acquisition [Line Items]                              
Consideration receivable or received on disposal       $ 10.4                      
Pretax gain       $ 9.4                      
Acquisitions 2019                              
Business Acquisition [Line Items]                              
Number of businesses acquired | acquisition         4                    
Aggregate purchase price         $ 2,387.6                    
Goodwill         1,447.0                    
Other identifiable intangibles         1,181.9                    
Acquisitions 2019 | Customer related intangibles                              
Business Acquisition [Line Items]                              
Amortizable intangible assets         $ 1,020.0                    
Weighted average useful life of finite-lived intangible assets         15 years 9 months 18 days                    
Acquisitions 2019 | Unpatented technology                              
Business Acquisition [Line Items]                              
Amortizable intangible assets         $ 109.3                    
Weighted average useful life of finite-lived intangible assets         6 years 9 months 18 days                    
Foundry                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                 100.00%            
iPipeline                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired               100.00%              
2018 Acquisitions                              
Business Acquisition [Line Items]                              
Number of businesses acquired | acquisition           7                  
Aggregate purchase price           $ 1,279.0                  
Goodwill           717.5                  
Other identifiable intangibles           711.3                  
2018 Acquisitions | Customer related intangibles                              
Business Acquisition [Line Items]                              
Amortizable intangible assets           $ 635.1                  
Weighted average useful life of finite-lived intangible assets           19 years                  
2018 Acquisitions | Unpatented technology                              
Business Acquisition [Line Items]                              
Amortizable intangible assets           $ 48.6                  
Weighted average useful life of finite-lived intangible assets           7 years                  
Quote Software, PlainSwift Software, and Smartbid                              
Business Acquisition [Line Items]                              
Number of businesses acquired | acquisition           3                  
PowerPlan, Inc.                              
Business Acquisition [Line Items]                              
Aggregate purchase price     $ 1,111.4                        
Percentage of voting interests acquired     100.00%                        
ConceptShare, Inc.                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                       100.00%      
BillBlast                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                   100.00%          
Avitru                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired           100.00%                  
2017 Acquisitions                              
Business Acquisition [Line Items]                              
Number of businesses acquired | acquisition             4                
Aggregate purchase price             $ 152.0                
Goodwill             82.7                
Other identifiable intangibles             85.0                
2017 Acquisitions | Customer related intangibles                              
Business Acquisition [Line Items]                              
Amortizable intangible assets             $ 68.0                
Weighted average useful life of finite-lived intangible assets             15 years                
2017 Acquisitions | Unpatented technology                              
Business Acquisition [Line Items]                              
Amortizable intangible assets             $ 13.0                
Weighted average useful life of finite-lived intangible assets             6 years                
Handshake Software, Inc.                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                             100.00%
Workbook Software A/S                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                           100.00%  
Onvia                              
Business Acquisition [Line Items]                              
Percentage of voting interests acquired                         100.00%    
Share price (in dollars per share) | $ / shares                         $ 9.00