Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	6 Months Ended
	Mar. 31, 2024 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 861.7
Currency translation	21.5
Goodwill, net, ending balance	883.2
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.6
Currency translation	(3.9)
Goodwill, net, ending balance	142.7
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	171.9
Currency translation	0.7
Goodwill, net, ending balance	172.6
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	493.5
Currency translation	24.7
Goodwill, net, ending balance	518.2
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