Segment Information (Summary of Consolidated Total Assets, Depreciation and Amortization, and Capital Expenditures by Segment) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Segment Reporting Information [Line Items]
Consolidated total assets	$ 4,368,915	$ 4,010,203	$ 3,806,446
Property, plant and equipment, net	940,715	913,094
Depreciation and amortization	116,170	119,743	120,628
Capital expenditures	96,280	76,500	52,868
Unallocated Corporate [Member]
Segment Reporting Information [Line Items]
Property, plant and equipment, net	120,946	104,962	111,760
Other assets	801,967	585,490	540,386
Depreciation and amortization	11,086	8,696	9,868
Capital expenditures	(1,639)	(2,268)	17,216
Aerospace [Member] | Operating Segments [Member]
Segment Reporting Information [Line Items]
Consolidated total assets	1,936,507	1,829,410	1,773,854
Depreciation and amortization	55,305	59,880	60,176
Capital expenditures	55,989	56,913	23,253
Industrial [Member] | Operating Segments [Member]
Segment Reporting Information [Line Items]
Consolidated total assets	1,509,495	1,490,341	1,380,446
Depreciation and amortization	49,779	51,167	50,584
Capital expenditures	$ 41,930	$ 21,855	$ 12,399