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Acquisitions (Details)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 01, 2022
segment
Dec. 01, 2021
USD ($)
Apr. 07, 2021
USD ($)
Dec. 09, 2020
segment
Sep. 30, 2022
USD ($)
agreement
Sep. 30, 2021
USD ($)
Sep. 30, 2022
USD ($)
segment
agreement
Sep. 30, 2021
USD ($)
Dec. 31, 2021
USD ($)
agreement
Acquisitions                  
Number of reportable business segments | segment 3           3    
Number of acquisitions | agreement             2   7
Acquisition-related expenses         $ 12.0 $ 0.0 $ 12.0 $ 55.4  
Purchase price, net of cash acquired             288.2 1,531.0 $ 2,225.4
Goodwill         $ 6,337.5   $ 6,337.5   $ 6,376.8
Number of acquisitions for which acquisition accounting has been completed | agreement         6   6    
MTS Systems Corporation and Other 2021 Acquisitions [Member]                  
Acquisitions                  
Acquisition-related expenses               55.4  
Acquisition-related expenses, net of tax               $ 44.6  
Divested MTS business (including T&S, excluding Sensors business) [Member]                  
Acquisitions                  
Contingent consideration     $ 28.7            
Proceeds from sale of business   $ 750.0              
MTS Systems Corporation                  
Acquisitions                  
Business acquisition, effective date     Apr. 07, 2021            
Number of reportable business segments | segment       2          
Purchase price, net of cash acquired     $ 1,300.0            
Total enterprise value of Acquiree (aggregate purchase price, net of cash acquired and including the repayment of all outstanding debt and certain liabilities)     $ 1,700.0            
Percentage acquired     100.00%            
Senior note assumed in business acquisition     $ 350.0            
Senior note assumed from business acquisition and repaid and settled shortly after closing, including accrued interest and make-whole premium     387.3            
Deferred tax liability     $ 47.0            
MTS Sensors [Member]                  
Acquisitions                  
Purchase price of retained business, net of cash acquired and net of proceeds received from divested business.   $ 950.0              
Goodwill         $ 738.7   $ 738.7    
Goodwill deductible for tax purposes         0.0   0.0    
Indefinite-lived intangible assets             54.0    
Definite-lived intangible assets             178.2    
Halo Technology Ltd [Member]                  
Acquisitions                  
Business acquisition, effective date   Dec. 01, 2021              
Purchase price, net of cash acquired   $ 694.0              
Percentage acquired   97.00%              
Goodwill         524.6   524.6    
Goodwill deductible for tax purposes         0.0   0.0    
Indefinite-lived intangible assets             29.0    
Definite-lived intangible assets             168.0    
2022 Acquisitions [Member]                  
Acquisitions                  
Acquisition-related expenses         12.0   12.0    
Acquisition-related expenses, net of tax         10.5   10.5    
Customer relationships | MTS Sensors [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 122.9    
Useful lives             11 years    
Customer relationships | Halo Technology Ltd [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 44.0    
Useful lives             13 years    
Proprietary technology | MTS Sensors [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 39.1    
Useful lives             15 years    
Proprietary technology | Halo Technology Ltd [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 115.0    
Useful lives             15 years    
Backlog | MTS Sensors [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 16.2    
Useful lives             3 months    
Backlog | Halo Technology Ltd [Member]                  
Acquisitions                  
Definite-lived intangible assets             $ 9.0    
Useful lives             1 month    
Harsh Environment Solutions                  
Acquisitions                  
Number of acquisitions | agreement             1   1
Goodwill         1,648.6   $ 1,648.6   $ 1,663.7
Interconnect and Sensor Systems                  
Acquisitions                  
Number of acquisitions | agreement             1   3
Goodwill         1,801.4   $ 1,801.4   $ 1,763.0
Communications Solutions                  
Acquisitions                  
Number of acquisitions | agreement                 3
Goodwill         $ 2,887.5   $ 2,887.5   $ 2,950.1
Halo Technology Limited [Member] | Maximum                  
Acquisitions                  
Noncontrolling interest, ownership percentage by noncontrolling owners   3.00%