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Segments - Schedule of Acquisition and Integration Costs (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Segment Reporting Information [Line Items]        
Acquisition and integration costs $ 28.0 $ 15.9 $ 159.9 $ 41.0
Cost of products sold        
Segment Reporting Information [Line Items]        
Acquisition and integration costs 12.4 0.0 44.1 0.0
Selling, general and administrative expense        
Segment Reporting Information [Line Items]        
Acquisition and integration costs 15.1 22.4 63.1 44.6
Research and development expense        
Segment Reporting Information [Line Items]        
Acquisition and integration costs 0.3 0.0 0.3 0.0
Interest expense        
Segment Reporting Information [Line Items]        
Acquisition and integration costs 0.0 3.4 65.6 6.3
Other items, net        
Segment Reporting Information [Line Items]        
Acquisition and integration costs $ 0.2 $ (9.9) $ (13.2) $ (9.9)