Business Segments (Details) $ in Thousands		3 Months Ended						9 Months Ended
	Oct. 29, 2018 segment	Jun. 30, 2022 USD ($) segment	Mar. 31, 2022 USD ($)	Dec. 31, 2021 USD ($)	Jun. 30, 2021 USD ($)	Mar. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)	Jun. 30, 2022 USD ($) segment	Jun. 30, 2021 USD ($)	Sep. 30, 2021 USD ($)
Segment Reporting [Abstract]
Number of reportable segments | segment	3	2						2
Segment Reporting Information [Line Items]
Total revenue		$ 439,325			$ 369,681			$ 1,232,321	$ 1,038,438
Operating profit (loss)		31,030			28,310			64,890	60,722
Interest expense		(8,440)			(11,224)			(24,969)	(28,292)
Income before income taxes		22,590			17,086			39,921	32,430
Income tax (expense) benefit		(5,027)			(3,887)			(8,896)	(7,672)
Net income		17,563	$ 7,374	$ 6,088	13,199	$ 5,082	$ 6,477	31,025	24,758
Assets		2,171,618						2,171,618		$ 1,868,891
Integrated Solutions and Services
Segment Reporting Information [Line Items]
Revenue from product sales and services		297,411			239,687			837,297
Applied Product Technologies
Segment Reporting Information [Line Items]
Revenue from product sales and services		141,914			129,994			395,024
Intersegment Eliminations
Segment Reporting Information [Line Items]
Revenue from product sales and services		37,885			25,167			100,322	71,054
Intersegment Eliminations | Integrated Solutions and Services
Segment Reporting Information [Line Items]
Revenue from product sales and services		13,020			5,727			31,209	11,832
Intersegment Eliminations | Applied Product Technologies
Segment Reporting Information [Line Items]
Revenue from product sales and services		24,865			19,440			69,113	59,222
Operating Segments
Segment Reporting Information [Line Items]
Total revenue		477,210			394,848			1,332,643	1,109,492
Operating Segments | Integrated Solutions and Services
Segment Reporting Information [Line Items]
Total revenue		310,431			245,414			868,506	690,370
Revenue from product sales and services		297,411			239,687			837,297	678,538
Operating profit (loss)		39,864			37,793			113,269	94,934
Assets		1,127,646						1,127,646		887,265
Operating Segments | Applied Product Technologies
Segment Reporting Information [Line Items]
Total revenue		166,779			149,434			464,137	419,122
Revenue from product sales and services		141,914			129,994			395,024	359,900
Operating profit (loss)		28,592			22,735			69,412	54,218
Assets		664,946						664,946		656,362
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Operating profit (loss)		(37,426)			$ (32,218)			(117,791)	$ (88,430)
Assets		$ 379,026						$ 379,026		$ 325,264