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Goodwill and Purchased Intangible Assets - Goodwill Allocated to Reportable Segments (Details) - USD ($)
$ in Millions
Jun. 30, 2021
Sep. 30, 2020
Goodwill [Line Items]    
Gross $ 2,158.9 $ 2,119.5
Accumulated Impairment (1,101.7) (1,110.0)
Net 1,057.2 1,009.5
Access Equipment    
Goodwill [Line Items]    
Gross 1,817.8 1,814.7
Accumulated Impairment (932.1) (932.1)
Net 885.7 882.6
Defense    
Goodwill [Line Items]    
Gross 44.4  
Net 44.4  
Fire & Emergency    
Goodwill [Line Items]    
Gross 108.1 108.1
Accumulated Impairment (2.0) (2.0)
Net 106.1 106.1
Commercial    
Goodwill [Line Items]    
Gross 188.6 196.7
Accumulated Impairment (167.6) (175.9)
Net $ 21.0 $ 20.8