FAIR VALUE OF FINANCIAL INSTRUMENTS - Narrative (Details) - USD ($)	3 Months Ended		12 Months Ended
	Jan. 31, 2022	Jul. 31, 2021	Oct. 31, 2023	Oct. 31, 2022	Oct. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Reallocation of goodwill				$ 0
Goodwill			$ 2,491,300,000	2,485,600,000	$ 2,228,900,000
Non-cash impairment charge			0	0	9,100,000
Carrying value of fixed assets			131,500,000	125,400,000
Corporate | Internal Use Software
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Non-cash impairment charge		$ 9,100,000
Carrying value of fixed assets					0
M&D
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Reallocation of goodwill				95,000,000.0
Goodwill	$ 502,200,000		502,200,000	502,200,000	407,200,000
M&D | Reorganization of Business Segments, From B&I Segment
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Reallocation of goodwill	95,000,000
M&D | Reorganization of Business Segments, From T&M Segment
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill	407,200,000
B&I
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Reallocation of goodwill				(95,000,000.0)
Goodwill			$ 1,092,900,000	$ 1,087,800,000	$ 1,129,800,000
B&I | Reorganization of Business Segments, From B&I Segment
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Reallocation of goodwill	$ (95,000,000)