Business Segments (Details) $ in Thousands		3 Months Ended
	Oct. 29, 2018 segment	Dec. 31, 2022 USD ($) segment	Dec. 31, 2021 USD ($)	Sep. 30, 2022 USD ($)
Segment Reporting [Abstract]
Number of reportable segments | segment	3	2
Segment Reporting Information [Line Items]
Total revenue		$ 435,846	$ 366,268
Operating profit (loss)		23,232	14,288
Interest expense		(10,074)	(6,579)
Income before income taxes		13,158	7,709
Income tax (expense) benefit		(3,890)	(1,621)
Net income		9,268	6,088
Assets		2,207,357		$ 2,190,863
Integrated Solutions and Services
Segment Reporting Information [Line Items]
Revenue from product sales and services		305,426
Applied Product Technologies
Segment Reporting Information [Line Items]
Revenue from product sales and services		130,420
Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenue from product sales and services		25,756	29,805
Intersegment Eliminations | Integrated Solutions and Services
Segment Reporting Information [Line Items]
Revenue from product sales and services		5,838	8,530
Intersegment Eliminations | Applied Product Technologies
Segment Reporting Information [Line Items]
Revenue from product sales and services		19,918	21,275
Operating Segments
Segment Reporting Information [Line Items]
Total revenue		461,602	396,073
Operating Segments | Integrated Solutions and Services
Segment Reporting Information [Line Items]
Total revenue		311,264	253,576
Revenue from product sales and services		305,426	245,046
Operating profit (loss)		42,708	35,300
Assets		1,178,127		1,123,166
Operating Segments | Applied Product Technologies
Segment Reporting Information [Line Items]
Total revenue		150,338	142,497
Revenue from product sales and services		130,420	121,222
Operating profit (loss)		21,015	17,827
Assets		671,396		653,244
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Operating profit (loss)		(40,491)	$ (38,839)
Assets		$ 357,834		$ 414,453