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Segment and Geographic Information - Financial Information by Reportable Segment (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Oct. 31, 2017
Jul. 31, 2017
Apr. 30, 2017
Jan. 31, 2017
Oct. 31, 2016
Jul. 31, 2016
Apr. 30, 2016
Jan. 31, 2016
Oct. 31, 2017
Oct. 31, 2016
Oct. 31, 2015
Revenues                      
Revenues $ 1,497.9 $ 1,318.4 $ 1,310.5 $ 1,326.7 $ 1,322.3 $ 1,296.9 $ 1,257.1 $ 1,268.4 $ 5,453.6 [1] $ 5,144.7 [1] $ 4,897.8 [1]
Operating profit (loss)                      
Operating profit (loss)                 101.9 54.7 73.6
Income from unconsolidated affiliates, net                 4.2 7.6 9.0
Interest expense                 (19.2) (10.4) (10.2)
Income from continuing operations before income taxes                 86.9 51.9 72.4
Depreciation and amortization                      
Depreciation and amortization [2]                 70.1 57.5 57.0
Corporate                      
Operating profit (loss)                      
Operating profit (loss)                 (185.0) (167.2) (160.7)
Depreciation and amortization                      
Depreciation and amortization [2]                 11.4 8.2 9.5
Segment Reconciling Items                      
Operating profit (loss)                      
Adjustment for tax credits for energy efficient government buildings, included in Technical Solutions                 (1.9) (1.2) (2.0)
Income from unconsolidated affiliates, net                 (4.1) (6.5) (9.0)
Business & Industry | Operating Segments                      
Revenues                      
Revenues                 2,992.5 2,949.1 2,890.3
Operating profit (loss)                      
Operating profit (loss)                 154.0 135.4 145.5
Depreciation and amortization                      
Depreciation and amortization [2]                 17.1 17.7 18.1
Aviation | Operating Segments                      
Revenues                      
Revenues                 988.1 851.8 790.0
Operating profit (loss)                      
Operating profit (loss)                 28.8 27.7 28.8
Depreciation and amortization                      
Depreciation and amortization [2]                 13.3 12.2 13.2
Emerging Industries Group | Operating Segments                      
Revenues                      
Revenues                 777.1 801.9 777.0
Operating profit (loss)                      
Operating profit (loss)                 45.9 61.0 50.4
Depreciation and amortization                      
Depreciation and amortization [2]                 5.0 5.5 5.7
Technical Solutions | Operating Segments                      
Revenues                      
Revenues                 439.6 425.3 296.9
Operating profit (loss)                      
Operating profit (loss)                 39.0 28.9 17.7
Depreciation and amortization                      
Depreciation and amortization [2]                 12.5 12.3 8.7
GCA Services | Operating Segments                      
Revenues                      
Revenues                 169.7 0.0 0.0
Operating profit (loss)                      
Operating profit (loss)                 3.4 0.0 0.0
Depreciation and amortization                      
Depreciation and amortization [2]                 10.8 0.0 0.0
Government Services | Operating Segments                      
Revenues                      
Revenues                 86.5 116.7 143.7
Operating profit (loss)                      
Operating profit (loss)                 21.8 (23.4) 2.9
Depreciation and amortization                      
Depreciation and amortization [2]                 $ 0.0 $ 1.6 $ 1.8
[1] Substantially all of our long-lived assets are related to United States operations.
[2] Excludes amortization related to income from unconsolidated affiliates.