Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)	12 Months Ended
	Oct. 31, 2021	Oct. 31, 2020
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 814,100,000	$ 583,500,000
Accumulated Amortization	(389,300,000)	(343,800,000)
Total	424,800,000	239,700,000
Net impairment charge	$ 0	$ 9,000,000
Intangible assets weighted average life	12 years	12 years
Aviation
Acquired Indefinite-lived Intangible Assets [Line Items]
Net impairment charge		$ 5,600,000
Reduction in carrying amount		13,800,000
Amortization of intangible assets		8,200,000
Technical Solutions
Acquired Indefinite-lived Intangible Assets [Line Items]
Net impairment charge		3,400,000
Reduction in carrying amount		8,700,000
Amortization of intangible assets		5,300,000
Customer contracts and relationships
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 793,800,000	573,100,000
Accumulated Amortization	(378,500,000)	(333,600,000)
Total	415,300,000	239,600,000
Trademarks and trade names
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross Carrying Amount	19,800,000	9,800,000
Accumulated Amortization	(10,400,000)	(9,800,000)
Total	9,500,000	0
Contract rights and other
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross Carrying Amount	500,000	500,000
Accumulated Amortization	(400,000)	(400,000)
Total	$ 100,000	$ 100,000