INCOME TAXES - Additional Information (Details) - USD ($) $ in Millions	2 Months Ended	3 Months Ended							10 Months Ended	11 Months Ended	12 Months Ended
	Sep. 30, 2025	Jul. 31, 2025	Apr. 30, 2025	Jan. 31, 2025	Oct. 31, 2024	Jul. 31, 2024	Apr. 30, 2024	Jan. 31, 2024	Sep. 30, 2024	Sep. 30, 2025	Oct. 31, 2024	Oct. 31, 2023
Operating Loss Carryforwards [Line Items]
Income (loss) before income tax expense and equity earnings of unconsolidated affiliates, net	$ (9.6)	$ 55.8	$ 54.4	$ 3.1	$ 60.1	$ 117.1	$ 74.1	$ 30.4	$ 262.5	$ 103.7	$ 281.7	$ 396.4
Net operating loss and other carryforwards	130.0				126.5					130.0	126.5
Operating loss carryforwards, U.S. Federal	22.6				19.5					22.6	19.5
Operating loss carryforwards, State	3.3				10.2					3.3	10.2
Operating loss carryforwards, Non-U.S.	104.1				96.8					104.1	96.8
Net change in valuation allowance	113.3				87.4					113.3	87.4
Increase (decrease) in valuation allowances										25.9
Unrecognized tax benefits	35.1				25.5					35.1	25.5	23.4
Accrued interest and penalties related to unrecognized tax benefits	7.7				3.8					7.7	3.8
Net decrease in unrecognized tax benefits for the next 12 months	13.6									13.6
Domestic Tax Jurisdiction
Operating Loss Carryforwards [Line Items]
Income (loss) before income tax expense and equity earnings of unconsolidated affiliates, net										(97.2)	47.2	142.4
Net change in valuation allowance	25.4				22.2					25.4	22.2
Non-U.S.
Operating Loss Carryforwards [Line Items]
Income (loss) before income tax expense and equity earnings of unconsolidated affiliates, net										200.9	234.5	$ 254.0
Net change in valuation allowance	$ 87.9				$ 65.2					$ 87.9	$ 65.2