Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	3 Months Ended
	Dec. 31, 2022 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 823.0
Currency translation and other	53.3
Goodwill, net, ending balance	876.3
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	143.2
Currency translation and other	5.6
Goodwill, net, ending balance	148.8
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	43.1
Goodwill, net, ending balance	500.6
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	0.4
Goodwill, net, ending balance	$ 34.2