Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	9 Months Ended
	Jun. 30, 2025 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 905.1
Acquisitions	31.3
Currency translation	33.3
Goodwill, net, ending balance	969.7
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.3
Acquisitions	0.0
Currency translation	(1.5)
Goodwill, net, ending balance	144.8
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	174.7
Acquisitions	0.0
Currency translation	(0.8)
Goodwill, net, ending balance	173.9
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	534.3
Acquisitions	31.3
Currency translation	35.5
Goodwill, net, ending balance	601.1
Middle East and India
Goodwill [Roll Forward]
Goodwill, net, beginning balance	15.8
Acquisitions	0.0
Currency translation	0.0
Goodwill, net, ending balance	15.8
Corporate and other
Goodwill [Roll Forward]
Goodwill, net, beginning balance	34.0
Acquisitions	0.0
Currency translation	0.1
Goodwill, net, ending balance	$ 34.1