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OTHER COMPREHENSIVE INCOME (LOSS) - Summary of amounts reclassified from accumulated other comprehensive income (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2019
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Provision (benefit) from income taxes	$ 39,940	$ 26,262	$ 20,753
Net income	79,211	53,429	37,287
Pension and other defined benefit plans | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Income before taxes from continuing operations	(6,292)	(4,182)	(902)
Cash flow hedges | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Income before taxes from continuing operations	(2,204)	(2,163)	1,361
AOCI attributable to parent | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Income before taxes from continuing operations	(8,496)	(6,345)	459
Provision (benefit) from income taxes	(1,784)	(1,332)	96
Net income	$ (6,712)	$ (5,013)	$ 363

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