Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	6 Months Ended
	Mar. 31, 2025 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 905.1
Currency translation	(18.0)
Goodwill, net, ending balance	887.1
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.3
Currency translation	(2.3)
Goodwill, net, ending balance	144.0
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	174.7
Currency translation	(6.0)
Goodwill, net, ending balance	168.7
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	534.3
Currency translation	(9.7)
Goodwill, net, ending balance	524.6
Middle East and India
Goodwill [Roll Forward]
Goodwill, net, beginning balance	15.8
Currency translation	0.0
Goodwill, net, ending balance	15.8
Corporate and other
Goodwill [Roll Forward]
Goodwill, net, beginning balance	34.0
Currency translation	0.0
Goodwill, net, ending balance	$ 34.0