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Goodwill and Purchased Intangible Assets - Schedule of Changes in Goodwill (Details)
$ in Millions
3 Months Ended
Dec. 31, 2021
USD ($)
Changes in goodwill  
Net goodwill at the beginning of the period $ 1,052.0
Foreign currency translation (3.0)
Net goodwill at the end of the period 1,049.0
Access Equipment  
Changes in goodwill  
Net goodwill at the beginning of the period 880.6
Foreign currency translation (3.0)
Net goodwill at the end of the period 877.6
Defense  
Changes in goodwill  
Net goodwill at the beginning of the period 44.4
Net goodwill at the end of the period 44.4
Fire & Emergency  
Changes in goodwill  
Net goodwill at the beginning of the period 106.1
Net goodwill at the end of the period 106.1
Commercial  
Changes in goodwill  
Net goodwill at the beginning of the period 20.9
Net goodwill at the end of the period $ 20.9