REPORTABLE SEGMENTS (Details) - Schedule of Summary of Reconciliation of Segment Profit Before Taxes and Operations - USD ($)	3 Months Ended								12 Months Ended
	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2016	Sep. 30, 2018	Sep. 30, 2017	Sep. 30, 2016
Segment Reporting Information [Line Items]
Revenue	$ 545,505,000	$ 516,550,000	$ 478,560,000	$ 437,303,000	$ 430,799,000	$ 358,114,000	$ 383,807,000	$ 352,277,000	$ 1,977,918,000	$ 1,524,997,000	$ 1,477,035,000
Income from continuing operations									96,450,000	69,027,000	82,340,000
Net interest expense									(63,871,000)	(51,449,000)	(49,877,000)
Unallocated amounts									(45,812,000)	(42,398,000)	(40,393,000)
Acquisition costs		(2,320,000)	$ (378,000)	$ (2,348,000)						(6,145,000)
Special Dividend ESOP Charges		(2,125,000)
Income (loss) before taxes from continuing operations									33,810,000	16,698,000	32,213,000
Loss on pension settlement									0	5,137,000	0
Equity Offering Costs		$ (795)							(1,205,000)	0	0
Total Segment adjusted EBITDA from continuing operations									213,463,000	172,697,000	168,334,000
Segment depreciation and amortization									(55,334,000)	(47,398,000)	(45,851,000)
Acquisition costs									(7,597,000)	(9,617,000)	0
Income (loss) before taxes from continuing operations									33,810,000	16,698,000	32,213,000
Consolidated depreciation and amortization									55,803,000	47,878,000	46,342,000
Capital expenditures									50,138,000	34,937,000	59,276,000
AMES [Member]
Segment Reporting Information [Line Items]
Revenue									953,612,000	545,269,000	513,973,000
CBP [Member]
Segment Reporting Information [Line Items]
Revenue									697,969,000	568,001,000	527,370,000
Home & Building Products [Member]
Segment Reporting Information [Line Items]
Revenue									1,651,581,000	1,113,270,000	1,041,343,000
Segment adjusted EBITDA									177,400,000	126,766,000	114,949,000
Segment depreciation and amortization									(44,533,000)	(36,547,000)	(35,267,000)
Capital expenditures									36,587,000	24,476,000	49,351,000
Telephonics [Member]
Segment Reporting Information [Line Items]
Revenue									326,337,000	411,727,000	435,692,000
Segment adjusted EBITDA									36,063,000	45,931,000	53,385,000
Segment depreciation and amortization									(10,801,000)	(10,851,000)	(10,584,000)
Capital expenditures									10,941,000	8,204,000	9,007,000
Operating [Member]
Segment Reporting Information [Line Items]
Capital expenditures									47,528,000	32,680,000	58,358,000
Corporate [Member]
Segment Reporting Information [Line Items]
Consolidated depreciation and amortization									469,000	480,000	491,000
Capital expenditures									2,610,000	2,257,000	918,000
Continuing Operations [Member]
Segment Reporting Information [Line Items]
Segment operating profit from continuing operations									155,749,000	119,438,000	122,483,000
Net interest expense									(63,871,000)	(51,449,000)	(49,877,000)
Unallocated amounts									(45,812,000)	(42,398,000)	(40,393,000)
Acquisition costs									(5,217,000)	(8,893,000)	0
Special Dividend ESOP Charges									(3,220,000)	0	0
Income (loss) before taxes from continuing operations									33,810,000	16,698,000	32,213,000
Equity Offering Costs									(1,205,000)	0	0
Continuing Operations [Member] | Home & Building Products [Member]
Segment Reporting Information [Line Items]
Income from continuing operations									130,487,000	89,495,000	79,682,000
Continuing Operations [Member] | Telephonics [Member]
Segment Reporting Information [Line Items]
Income from continuing operations									25,262,000	29,943,000	42,801,000
Postretirement Life Insurance [Member] | Continuing Operations [Member]
Segment Reporting Information [Line Items]
Loss on pension settlement									$ (2,614,000)	$ 0	$ 0