Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	6 Months Ended
	Mar. 31, 2023 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 823.0
Currency translation and other	60.9
Goodwill, net, ending balance	883.9
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	143.2
Currency translation and other	8.7
Goodwill, net, ending balance	151.9
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	172.7
Currency translation and other	4.2
Goodwill, net, ending balance	176.9
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	457.5
Currency translation and other	47.9
Goodwill, net, ending balance	505.4
Middle East and India
Goodwill [Roll Forward]
Goodwill, net, beginning balance	15.8
Currency translation and other	0.0
Goodwill, net, ending balance	15.8
Corporate and other
Goodwill [Roll Forward]
Goodwill, net, beginning balance	33.8
Currency translation and other	0.1
Goodwill, net, ending balance	$ 33.9