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ACQUISITIONS - Narrative (Details)
£ in Thousands, $ in Thousands, $ in Thousands
8 Months Ended 12 Months Ended
Jan. 24, 2022
USD ($)
Dec. 22, 2020
USD ($)
Dec. 22, 2020
AUD ($)
Nov. 29, 2019
USD ($)
Nov. 29, 2019
GBP (£)
Sep. 30, 2022
USD ($)
Sep. 30, 2022
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2021
USD ($)
Dec. 22, 2020
AUD ($)
Business Acquisition [Line Items]                    
Goodwill           $ 335,790 $ 335,790 $ 424,098 $ 426,148  
Business acquisition, tax rate used to calculate pro forma amount             25.70%      
Acquisition related costs             $ 9,303 $ 2,960    
Hunter Fan Company                    
Business Acquisition [Line Items]                    
Business acquisition, tax rate used to calculate pro forma amount             27.10%      
Term Loan B due 2029 | Term Loan                    
Business Acquisition [Line Items]                    
Debt instrument, face amount $ 800,000                  
Debt instrument, term 7 years         7 years        
Quatro Design Pty Ltd                    
Business Acquisition [Line Items]                    
Goodwill   $ 784               $ 1,038
Cash payment to acquire business   2,700 $ 3,500              
Intangible assets   $ 2,082               $ 2,755
Vatre Group Limited                    
Business Acquisition [Line Items]                    
Business combination, consideration transferred       $ 10,500 £ 8,750          
Goodwill | £         3,449          
Intangible assets | £         £ 3,454          
Business acquisition, percentage of voting interests acquired         100.00%          
Inventories | £         £ 2,914          
Accounts receivable | £         2,492          
Accounts payable and other accrued liabilities | £         £ 3,765          
Hunter Fan Company                    
Business Acquisition [Line Items]                    
Business combination, consideration transferred $ 845,000                  
Revenue from acquiree since acquisition date           $ 246,474        
Segment Adjusted EBITDA since acquisition date           $ 43,579        
Goodwill 258,536                  
Intangible assets 616,000                  
Inventories 110,299                  
Accounts receivable $ 64,602