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Business Segment Information - Schedule of Reportable Segments (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Sep. 30, 2017
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Segment Reporting Information [Line Items]                        
Sales   $ 1,730.2 $ 1,665.1 $ 1,657.2 $ 1,642.3 $ 1,729.5 $ 1,698.7 $ 1,651.2 $ 1,586.6 $ 6,694.8 $ 6,666.0 $ 6,311.3
Sales and operating results of reportable segments                        
Purchase accounting depreciation and amortization                   (16.6) (17.4) (21.4)
General corporate - net                   (108.8) (100.0) (95.9)
Non-operating pension and postretirement benefit credit (cost)                   8.4 (23.8) (77.6)
Gain on sale of business $ 60.8                 0.0 0.0 60.8
Costs related to unsolicited Emerson proposals                   0.0 (11.2) 0.0
(Loss) gain on investments                   (402.2) 123.7 0.0
Valuation adjustments related to the registration of PTC Shares                   33.7 (33.7) 0.0
Interest (expense) income - net                   (87.1) (48.6) (56.6)
Income before income taxes                   901.0 1,330.8 1,037.4
Total                        
Segment Reporting Information [Line Items]                        
Sales                   6,694.8 6,666.0 6,311.3
Operating Income (Loss)                   1,473.6 1,441.8 1,228.1
Segment Reconciling Items                        
Sales and operating results of reportable segments                        
Gain on sale of business                   0.0 0.0 60.8
Architecture & Software                        
Segment Reporting Information [Line Items]                        
Sales                   3,021.9    
Architecture & Software | Total                        
Segment Reporting Information [Line Items]                        
Sales                   3,021.9 3,050.2 2,858.6
Operating Income (Loss)                   874.8 897.9 780.0
Control Products & Solutions                        
Segment Reporting Information [Line Items]                        
Sales                   3,672.9    
Control Products & Solutions | Total                        
Segment Reporting Information [Line Items]                        
Sales                   3,672.9 3,615.8 3,452.7
Operating Income (Loss)                   $ 598.8 $ 543.9 $ 448.1