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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2018
Oct. 31, 2016
Oct. 31, 2017
Acquired Indefinite-lived Intangible Assets [Line Items]      
Gross Carrying Amount [1] $ 606.0   $ 619.2
Accumulated Amortization [1] (250.4)   (189.1)
Total [1] $ 355.7   430.1
Intangible assets weighted average life 13 years    
Government Services      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Net impairment charge   $ 4.4  
Customer contracts and relationships      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Gross Carrying Amount [2] $ 595.7   607.9
Accumulated Amortization [2] (243.6)   (186.3)
Total [2] 352.2   421.6
Customer contracts and relationships | Technical Solutions      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Net impairment charge 6.2    
Reduction in carrying amount 10.5    
Amortization of intangible assets 4.3    
Trademarks and trade names      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Gross Carrying Amount 9.8   10.8
Accumulated Amortization (6.4)   (2.4)
Total 3.4   8.4
Contract rights and other      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Gross Carrying Amount 0.5   0.5
Accumulated Amortization (0.4)   (0.4)
Total $ 0.1   $ 0.1
[1] These intangible assets are being amortized over the expected period of benefit, with a weighted average life of approximately 13 years.
[2] Reflects a net impairment charge of $6.2 million recorded in 2018, consisting of a $10.5 million reduction in the gross carrying amount of the underlying customer relationships less $4.3 million of accumulated amortization.