Goodwill (Schedule of Goodwill) (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2023 USD ($)
Goodwill [Roll Forward]
Goodwill, beginning of the period	$ 473,572
Measurement period adjustment	(1,754)
Reclassified to non-current assets held for sale	(7,831)
Foreign currency translation	4,942
Goodwill, end of the period	468,929
Operating Segments | Integrated Solutions and Services
Goodwill [Roll Forward]
Goodwill, beginning of the period	306,935
Measurement period adjustment	(1,754)
Reclassified to non-current assets held for sale	(7,831)
Foreign currency translation	626
Goodwill, end of the period	297,976
Operating Segments | Applied Product Technologies
Goodwill [Roll Forward]
Goodwill, beginning of the period	166,637
Measurement period adjustment	0
Reclassified to non-current assets held for sale	0
Foreign currency translation	4,316
Goodwill, end of the period	$ 170,953