SEGMENT AND GEOGRAPHIC INFORMATION - Schedule of Financial Information by Reportable Segment (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2024	Oct. 31, 2023	Oct. 31, 2022
Revenues
Revenues	$ 8,359.4	$ 8,096.4	$ 7,806.6
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal, Statement of Income or Comprehensive Income [Extensible Enumeration]			Operating profit (loss)
Operating profit (loss)
Operating profit (loss)	212.0	409.5	$ 348.8
Income from unconsolidated affiliates	6.5	3.9	2.4
Interest expense	(85.0)	(82.3)	(41.1)
Income before income taxes	133.6	331.1	310.0
Depreciation and amortization
Depreciation and amortization	106.6	120.7	112.4
Change in fair value of contingent consideration	95.7	(45.6)	0.0
Employee retention credit		24.0
Business & Industry
Revenues
Revenues	4,059.1	4,089.4	4,095.9
Manufacturing & Distribution
Revenues
Revenues	1,554.3	1,526.7	1,445.2
Aviation
Revenues
Revenues	1,032.6	925.7	804.0
Education
Revenues
Revenues	904.0	880.4	834.7
Technical Solutions
Revenues
Revenues	809.3	674.2	626.8
Operating Segments | Business & Industry
Operating profit (loss)
Operating profit (loss)	307.0	315.6	334.9
Depreciation and amortization
Depreciation and amortization	37.3	44.9	47.1
Operating Segments | Manufacturing & Distribution
Operating profit (loss)
Operating profit (loss)	166.3	161.7	161.8
Depreciation and amortization
Depreciation and amortization	12.2	13.1	13.4
Operating Segments | Aviation
Operating profit (loss)
Operating profit (loss)	59.1	60.0	29.3
Depreciation and amortization
Depreciation and amortization	12.6	9.6	8.2
Operating Segments | Education
Operating profit (loss)
Operating profit (loss)	55.3	49.7	47.1
Depreciation and amortization
Depreciation and amortization	21.8	22.5	25.4
Operating Segments | Technical Solutions
Operating profit (loss)
Operating profit (loss)	69.4	53.2	63.8
Depreciation and amortization
Depreciation and amortization	7.7	17.5	7.0
Operating Segments | Technical Solutions | Disposal Group, Disposed of by Sale, Not Discontinued Operations | Customer Contracts For Healthcare Technology Management
Depreciation and amortization
Gain on the sale of assets			7.6
Operating Segments | Government Services
Operating profit (loss)
Operating profit (loss)	0.0	0.0	(0.3)
Corporate
Operating profit (loss)
Operating profit (loss)	(433.1)	(226.6)	(284.5)
Depreciation and amortization
Depreciation and amortization	15.0	13.1	11.4
Corporate | RavenVolt
Depreciation and amortization
Change in fair value of contingent consideration	(95.7)	(45.6)
Employee retention credit		24.0
Segment Reporting, Reconciling Item, Excluding Corporate Nonsegment
Operating profit (loss)
Income from unconsolidated affiliates	(6.5)	(3.9)	(2.4)
Adjustment for tax deductions for energy efficient government buildings, included in Technical Solutions	$ (5.5)	$ (0.3)	$ (0.9)