Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	9 Months Ended
	Jun. 30, 2023 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 823.0
Currency translation and other	68.6
Goodwill, net, ending balance	891.6
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	143.2
Currency translation and other	8.3
Goodwill, net, ending balance	151.5
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	172.7
Currency translation and other	0.7
Goodwill, net, ending balance	173.4
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	457.5
Currency translation and other	59.5
Goodwill, net, ending balance	517.0
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