Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	3 Months Ended
	Dec. 31, 2024 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 905.1
Currency translation	(38.6)
Goodwill, net, ending balance	866.5
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.3
Currency translation	(4.2)
Goodwill, net, ending balance	142.1
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	174.7
Currency translation	(4.4)
Goodwill, net, ending balance	170.3
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	534.3
Currency translation	(29.7)
Goodwill, net, ending balance	504.6
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	(0.3)
Goodwill, net, ending balance	$ 33.7