Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	6 Months Ended
	Mar. 31, 2026 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 963.9
Currency translation	(5.2)
Goodwill, net, ending balance	958.7
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	143.5
Currency translation	1.5
Goodwill, net, ending balance	145.0
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	172.5
Currency translation	(0.7)
Goodwill, net, ending balance	171.8
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	597.9
Currency translation	(6.1)
Goodwill, net, ending balance	591.8
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	34.2
Currency translation	0.1
Goodwill, net, ending balance	$ 34.3