GOODWILL AND OTHER INTANGIBLE ASSETS - Schedule of Goodwill (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Jan. 31, 2022	Oct. 31, 2023	Oct. 31, 2022
Goodwill [Roll Forward]
Beginning balance	$ 2,228.9	$ 2,485.6	$ 2,228.9
Acquisitions		1.1	269.2
Foreign currency translation		4.7	(12.6)
Reallocation			0.0
Ending balance		2,491.3	2,485.6
Business & Industry
Goodwill [Roll Forward]
Beginning balance	1,129.8	1,087.8	1,129.8
Acquisitions		1.3	61.7
Foreign currency translation		3.6	(8.7)
Reallocation			(95.0)
Ending balance		1,092.9	1,087.8
Business & Industry | Reorganization of Business Segments, From B&I Segment
Goodwill [Roll Forward]
Reallocation	(95.0)
Manufacturing & Distribution
Goodwill [Roll Forward]
Beginning balance	407.2	502.2	407.2
Acquisitions		0.0	0.0
Foreign currency translation		0.0	0.0
Reallocation			95.0
Ending balance	502.2	502.2	502.2
Manufacturing & Distribution | Reorganization of Business Segments, From B&I Segment
Goodwill [Roll Forward]
Reallocation	95.0
Education
Goodwill [Roll Forward]
Beginning balance	459.3	459.3	459.3
Acquisitions		0.0	0.0
Foreign currency translation		0.0	0.0
Reallocation			0.0
Ending balance		459.3	459.3
Aviation
Goodwill [Roll Forward]
Beginning balance	69.9	68.7	69.9
Acquisitions		0.0	0.0
Foreign currency translation		0.3	(1.1)
Reallocation			0.0
Ending balance		69.0	68.7
Technical Solutions
Goodwill [Roll Forward]
Beginning balance	$ 162.7	367.4	162.7
Acquisitions		(0.1)	207.5
Foreign currency translation		0.8	(2.7)
Reallocation			0.0
Ending balance		$ 368.0	$ 367.4