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EMPLOYEE BENEFIT PLANS - Narrative (Details) - USD ($)
$ in Thousands
 1 Months Ended 12 Months Ended
Jul. 31, 2025
Sep. 30, 2028
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2026
Jan. 01, 2024
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Defined contribution plan, employer discretionary contribution amount     $ 12,115 $ 10,319 $ 10,857    
Defined contribution plan, employer contributions from excess assets from replacement plan     1,525        
Benefit obligation     6,527        
Other comprehensive income, net     4,063        
Benefit expense     $ 1,071        
Cost of benefits annual increase rate (as a percent)     7.50%        
Defined benefit plan, period (in years)     3 years        
Implementation charges     $ 1,016        
Postemployment benefits liability     $ 1,545 $ 1,670      
Weighted average discount rate     5.60%        
Discount rate     4.69% 5.61% 5.52%    
Non-service cost components of net periodic cost (benefit)     $ (5,411) $ 137 $ 866    
Change in discount rate     10.00%        
Tax benefit for amortization of pension cost     $ (402) $ 578 793    
Adjusted funding target attainment percent, threshold             80.00%
Completion period of service     1 year        
Maximum compensation of proportion     $ 330        
Allocated shares (in shares)     3,977,753 4,234,713      
Employee stock ownership plan (ESOP), compensation expense     $ 0 $ 8,533 20,583    
Employee stock ownership plan (ESOP), deferred shares, fair value       $ 1,250      
Forecast              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Cost of benefits annual increase rate (as a percent)   6.60%          
Implementation charges           $ 5,362  
Clopay AMES Plan              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Adjusted funding target attainment percent             95.00%
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]              
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]              
Weighted average discount rate     4.87% 4.08%      
Total accumulated other comprehensive loss, net of tax     $ 311 $ 306      
Pension and other postretirement benefit expense     19 4 17    
Pension Plan              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Benefit obligation     121,521 145,746 $ 139,224    
Implementation charges     $ 10,855 $ 12,959      
Weighted average discount rate     5.09% 4.76%      
Total accumulated other comprehensive loss, net of tax     $ 22,410 $ 19,998      
Discount rate     4.76% 5.63% 5.17%    
Supplemental Employee Retirement Plan              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Benefit obligation     $ 10,140 $ 10,776 $ 10,882    
Implementation charges     $ 0 $ 0      
Weighted average discount rate     4.52% 4.46%      
Total accumulated other comprehensive loss, net of tax     $ 5,288 $ 3,663      
Discount rate     4.46% 5.53% 5.02%    
Defined benefit plans, estimated future employer contributions in next fiscal year     $ 1,813        
Supplemental Employee Retirement Plan | Forecast              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Defined benefit plans, estimated future employer contributions in next fiscal year           $ 1,567  
Hunter Fan Pension Plan              
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]              
Lump sum distribution for plan termination     4,830        
Plan assets, decrease for assets transferred from plan $ 6,100   10,859        
Defined benefit plan, gain (loss) from plan termination     $ 2,181