Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	9 Months Ended
	Jun. 30, 2024 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 861.7
Currency translation	17.3
Goodwill, net, ending balance	879.0
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.6
Currency translation	(2.2)
Goodwill, net, ending balance	144.4
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	171.9
Currency translation	(0.3)
Goodwill, net, ending balance	171.6
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	493.5
Currency translation	19.8
Goodwill, net, ending balance	513.3
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	33.9
Currency translation	0.0
Goodwill, net, ending balance	$ 33.9