Revenue Recognition by Geographic Markets (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023
Disaggregation of Revenue [Line Items]
Net revenue	$ 785.3	$ 690.9	$ 1,558.6	$ 1,346.6
Americas
Disaggregation of Revenue [Line Items]
Net revenue	385.4	316.1	759.5	590.8
Asia
Disaggregation of Revenue [Line Items]
Net revenue	196.8	207.6	403.5	424.5
Europe, the Middle East, and Africa
Disaggregation of Revenue [Line Items]
Net revenue	203.1	167.2	395.6	331.3
Advanced Process Solutions
Disaggregation of Revenue [Line Items]
Net revenue	559.2	430.5	1,127.5	843.3
Advanced Process Solutions | Americas
Disaggregation of Revenue [Line Items]
Net revenue	257.9	159.0	522.1	297.5
Advanced Process Solutions | Asia
Disaggregation of Revenue [Line Items]
Net revenue	134.2	142.3	280.4	291.0
Advanced Process Solutions | Europe, the Middle East, and Africa
Disaggregation of Revenue [Line Items]
Net revenue	167.1	129.2	325.0	254.8
Molding Technology Solutions
Disaggregation of Revenue [Line Items]
Net revenue	226.1	260.4	431.1	503.3
Molding Technology Solutions | Americas
Disaggregation of Revenue [Line Items]
Net revenue	127.5	157.1	237.4	293.3
Molding Technology Solutions | Asia
Disaggregation of Revenue [Line Items]
Net revenue	62.6	65.3	123.1	133.5
Molding Technology Solutions | Europe, the Middle East, and Africa
Disaggregation of Revenue [Line Items]
Net revenue	$ 36.0	$ 38.0	$ 70.6	$ 76.5