Segments (Segment Reporting Information - Project Momentum Restructuring and Related Costs) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Segment Reporting Information [Line Items]
Restructuring costs	$ 91.7	$ 59.7	$ 1.7
Project Momentum Restructuring Program
Segment Reporting Information [Line Items]
Restructuring costs	77.2	56.4	0.9
Project Momentum Restructuring Program | Segment Reporting, Reconciling Item, Excluding Corporate Nonsegment
Segment Reporting Information [Line Items]
Restructuring costs	91.7	59.7	0.9
Cost of products sold | Project Momentum Restructuring Program
Segment Reporting Information [Line Items]
Restructuring costs	62.9	29.9	0.0
Selling, general and administrate expense | IT Enablement
Segment Reporting Information [Line Items]
Restructuring costs	14.5	3.3	0.0
Selling, general and administrate expense | Project Momentum Restructuring Program
Segment Reporting Information [Line Items]
Restructuring costs	19.9	26.7	0.9
Selling, general and administrate expense | Project Momentum Restructuring Program | IT Enablement
Segment Reporting Information [Line Items]
Restructuring costs	14.5	3.3	0.0
Nonoperating Income (Expense) | Project Momentum Restructuring Program
Segment Reporting Information [Line Items]
Restructuring costs	$ (5.6)	$ (0.2)	$ 0.0