| ACCUMULATED OTHER COMPREHENSIVE INCOME - Components of AOCI (Details) - USD ($) $ in Thousands | 12 Months Ended | |
|---|---|---|
| Sep. 30, 2023 | Sep. 30, 2022 | |
| Accumulated Other Comprehensive Income (Loss) [Line Items] | ||
| Accumulated other comprehensive income | $ 525,668 | $ 487,352 | 
| Fair value of derivatives, tax | 1,015 | 2,762 | 
| Pension liability, tax | (1,620) | (1,786) | 
| Cumulative foreign currency translation | ||
| Accumulated Other Comprehensive Income (Loss) [Line Items] | ||
| Accumulated other comprehensive income | (190,196) | (203,310) | 
| Cash Flow Hedges | ||
| Accumulated Other Comprehensive Income (Loss) [Line Items] | ||
| Accumulated other comprehensive income | 9,032 | 7,937 | 
| Minimum pension liabilities | ||
| Accumulated Other Comprehensive Income (Loss) [Line Items] | ||
| Accumulated other comprehensive income | 6,760 | 5,182 | 
| Accumulated Other Comprehensive (Loss) Income (net of tax) | ||
| Accumulated Other Comprehensive Income (Loss) [Line Items] | ||
| Accumulated other comprehensive income | $ (174,404) | $ (190,191) | 
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