Business Segment Information - Schedule of Net Sales by Product Lines and Reportable Segments (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2021	Dec. 31, 2020
Segment Reporting Information [Line Items]
Revenues	$ 1,791.7	$ 1,576.5
Access Equipment
Segment Reporting Information [Line Items]
Revenues	833.3	562.4
Access Equipment | Aerial Work Platforms
Segment Reporting Information [Line Items]
Revenues	415.3	278.0
Access Equipment | Telehandlers
Segment Reporting Information [Line Items]
Revenues	210.6	122.9
Access Equipment | Other
Segment Reporting Information [Line Items]
Revenues	207.4	161.5
Defense
Segment Reporting Information [Line Items]
Revenues	531.1	550.0
Fire & Emergency
Segment Reporting Information [Line Items]
Revenues	217.0	269.8
Commercial
Segment Reporting Information [Line Items]
Revenues	210.2	194.2
Commercial | Concrete Placement
Segment Reporting Information [Line Items]
Revenues	88.8	67.7
Commercial | Refuse Collection
Segment Reporting Information [Line Items]
Revenues	98.2	102.3
Commercial | Other
Segment Reporting Information [Line Items]
Revenues	23.2	24.2
Corporate and Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenues	0.1	0.1
Operating Segments | Access Equipment
Segment Reporting Information [Line Items]
Revenues	833.5	563.7
Operating Segments | Access Equipment | Aerial Work Platforms
Segment Reporting Information [Line Items]
Revenues	415.3	278.0
Operating Segments | Access Equipment | Telehandlers
Segment Reporting Information [Line Items]
Revenues	210.6	122.9
Operating Segments | Access Equipment | Other
Segment Reporting Information [Line Items]
Revenues	207.6	162.8
Operating Segments | Defense
Segment Reporting Information [Line Items]
Revenues	531.5	550.3
Operating Segments | Fire & Emergency
Segment Reporting Information [Line Items]
Revenues	218.6	273.9
Operating Segments | Commercial
Segment Reporting Information [Line Items]
Revenues	210.6	195.7
Operating Segments | Commercial | Concrete Placement
Segment Reporting Information [Line Items]
Revenues	88.8	67.7
Operating Segments | Commercial | Refuse Collection
Segment Reporting Information [Line Items]
Revenues	98.2	102.3
Operating Segments | Commercial | Other
Segment Reporting Information [Line Items]
Revenues	23.6	25.7
Corporate, Non-segment | Corporate and Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenues	(2.5)	(7.1)
Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenues	(2.5)	(7.1)
Intersegment Eliminations | Access Equipment
Segment Reporting Information [Line Items]
Revenues	0.2	1.3
Intersegment Eliminations | Access Equipment | Other
Segment Reporting Information [Line Items]
Revenues	0.2	1.3
Intersegment Eliminations | Defense
Segment Reporting Information [Line Items]
Revenues	0.4	0.3
Intersegment Eliminations | Fire & Emergency
Segment Reporting Information [Line Items]
Revenues	1.6	4.1
Intersegment Eliminations | Commercial
Segment Reporting Information [Line Items]
Revenues	0.4	1.5
Intersegment Eliminations | Commercial | Other
Segment Reporting Information [Line Items]
Revenues	0.4	1.5
Intersegment Eliminations | Corporate and Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenues	$ (2.6)	$ (7.2)