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Goodwill and Other Intangible Assets - Changes in Carrying Amounts of Goodwill by Segment (Details) - USD ($) | 3 Months Ended | 12 Months Ended
--- | --- | ---
Apr. 30, 2020 | Oct. 31, 2021 | Oct. 31, 2020
Goodwill [Roll Forward] |  |  |
Beginning balance |  | $ 1,671,400,000 | $ 1,835,400,000
Acquisition |  | 554,000,000.0 |
Foreign currency translation |  | 3,400,000 | (200,000)
Impairment loss | $ (163,800,000) | 0 | (163,800,000)
Ending balance |  | 2,228,900,000 | 1,671,400,000
Business & Industry |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance |  | 574,000,000.0 | 573,900,000
Acquisition |  | 554,000,000.0 |
Foreign currency translation |  | 1,800,000 | 100,000
Impairment loss |  |  | 0
Ending balance |  | 1,129,800,000 | 574,000,000.0
Technology & Manufacturing |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance |  | 407,200,000 | 407,200,000
Acquisition |  | 0 |
Foreign currency translation |  | 0 | 0
Impairment loss |  |  | 0
Ending balance |  | 407,200,000 | 407,200,000
Education |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance |  | 459,300,000 | 558,600,000
Acquisition |  | 0 |
Foreign currency translation |  | 0 | 0
Impairment loss | (99,300,000) |  | (99,300,000)
Ending balance |  | 459,300,000 | 459,300,000
Aviation |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance |  | 69,500,000 | 125,000,000.0
Acquisition |  | 0 |
Foreign currency translation |  | 400,000 | 0
Impairment loss | (55,500,000) |  | (55,500,000)
Ending balance |  | 69,900,000 | 69,500,000
Technical Solutions |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance |  | 161,500,000 | 170,700,000
Acquisition |  | 0 |
Foreign currency translation |  | 1,200,000 | (300,000)
Impairment loss | $ (9,000,000) |  | (9,000,000.0)
Ending balance |  | $ 162,700,000 | $ 161,500,000

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- Definition Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03(10)(1)) -URI http://asc.fasb.org/extlink&oid=120398452&loc=d3e534808-122878 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=120320667&loc=SL49117168-202975 Reference 3: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 852 -SubTopic 10 -Section 55 -Paragraph 10 -URI http://asc.fasb.org/extlink&oid=84165509&loc=d3e56426-112766 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=99380562&loc=d3e13770-109266 + Details
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- Definition Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267 + Details
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