EMPLOYEE BENEFIT PLANS - Narrative (Details) $ in Thousands	12 Months Ended
	Sep. 30, 2022 USD ($) plan	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($)	Jan. 01, 2022
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Defined contribution plan, employer discretionary contribution amount	$ 11,080	$ 8,576	$ 6,855
Postemployment benefits liability	$ 1,796	$ 1,678
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) Excluding Service Cost, Statement of Income or Comprehensive Income [Extensible Enumeration]	Other Comprehensive (Income) Loss, Defined Benefit Plan, after Tax and Reclassification Adjustment, Attributable to Parent	Other Comprehensive (Income) Loss, Defined Benefit Plan, after Tax and Reclassification Adjustment, Attributable to Parent	Other Comprehensive (Income) Loss, Defined Benefit Plan, after Tax and Reclassification Adjustment, Attributable to Parent
Number of qualified defined benefit plan | plan	2
Non-service cost components of net periodic benefit cost (credit)	$ (4,256)	$ (907)	$ (1,559)
Change in discount rate	10.00%
Tax benefit for amortization of pension cost	$ 280	270	878
Adjusted funding target attainment percent, threshold				80.00%
Completion period of service	1 year
Maximum compensation of proportion	$ 295
Employee stock ownership plan (ESOP), compensation expense	14,325	3,678	$ 2,878
Employee stock ownership plan (ESOP), deferred shares, fair value	30,247	45,834
Clopay AMES Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Adjusted funding target attainment percent				105.00%
Defined benefit plans, estimated future employer catch up contributions in next fiscal year	0
Hunter Fan Pension Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Adjusted funding target attainment percent				129.20%
Defined benefit plans, estimated future employer catch up contributions in next fiscal year	0
Other Postretirement Benefits Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Accumulated other comprehensive income (loss), pension and other postretirement benefit plans, net of tax	399	(118)
Pension and other postretirement benefit expense	47	35
Supplemental Employee Retirement Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Accumulated other comprehensive income (loss), pension and other postretirement benefit plans, net of tax	(4,742)	(6,053)
Defined benefit plans, estimated future employer contributions in next fiscal year	1,866
Pension Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Accumulated other comprehensive income (loss), pension and other postretirement benefit plans, net of tax	(25,419)	$ (30,254)
Defined benefit plans, estimated future employer contributions in next fiscal year	$ 300