Goodwill (Schedule of Goodwill by Segment) (Details) $ in Millions	3 Months Ended
	Dec. 31, 2023 USD ($)
Goodwill [Roll Forward]
Goodwill, net, beginning balance	$ 861.7
Currency translation	37.7
Goodwill, net, ending balance	899.4
Americas
Goodwill [Roll Forward]
Goodwill, net, beginning balance	146.6
Currency translation	0.6
Goodwill, net, ending balance	147.2
Asia
Goodwill [Roll Forward]
Goodwill, net, beginning balance	171.9
Currency translation	3.4
Goodwill, net, ending balance	175.3
Europe
Goodwill [Roll Forward]
Goodwill, net, beginning balance	493.5
Currency translation	33.5
Goodwill, net, ending balance	527.0
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	33.9
Currency translation	0.2
Goodwill, net, ending balance	$ 34.1