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Business Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Sales and operating results of reportable segments                      
Sales $ 1,667.5 $ 1,599.2 $ 1,554.3 $ 1,490.3 $ 1,538.6 $ 1,474.0 $ 1,440.3 $ 1,426.6 $ 6,311.3 $ 5,879.5 $ 6,307.9
Income before income taxes $ 273.5 $ 276.0 $ 230.3 $ 257.6 $ 236.9 $ 252.3 $ 217.0 $ 236.9 1,037.4 943.1 1,127.5
Purchase accounting depreciation and amortization                 (21.4) (18.4) (21.0)
Gain on sale of business                 60.8 0.0 0.0
Interest expense                 (76.2) (71.3) (63.7)
Operating Segments [Member]                      
Sales and operating results of reportable segments                      
Income before income taxes                 1,233.1 1,188.7 1,360.5
Segment Reconciling Items [Member]                      
Sales and operating results of reportable segments                      
Purchase accounting depreciation and amortization                 (21.4) (18.4) (21.0)
Non-operating pension cost                 (82.6) (76.2) (62.7)
Gain on sale of business                 60.8 0.0 0.0
Corporate, Non-Segment [Member]                      
Sales and operating results of reportable segments                      
General corporate-net                 (76.3) (79.7) (85.6)
Architecture and Software [Member]                      
Sales and operating results of reportable segments                      
Sales                 2,899.3 2,635.2 2,749.5
Income before income taxes                 781.5 695.0 808.6
Control Products and Solutions [Member]                      
Sales and operating results of reportable segments                      
Sales                 3,412.0 3,244.3 3,558.4
Income before income taxes                 $ 451.6 $ 493.7 $ 551.9