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Revenues - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Oct. 31, 2019
Jul. 31, 2019
Apr. 30, 2019
Jan. 31, 2019
Oct. 31, 2018
Jul. 31, 2018
Apr. 30, 2018
Jan. 31, 2018
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Revenue from External Customer [Line Items]                      
Revenues $ 1,648.0 $ 1,647.9 $ 1,594.7 $ 1,607.9 $ 1,648.8 $ 1,624.3 $ 1,580.8 $ 1,588.3 $ 6,498.6 $ 6,442.2 $ 5,453.6
Operating Segments                      
Revenue from External Customer [Line Items]                      
Revenues                 6,626.3    
Operating Segments | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 3,251.4 3,268.4 2,939.4
Operating Segments | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 1,017.3 1,038.7 1,003.0
Operating Segments | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 917.0 925.4 698.1
Operating Segments | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 847.4 856.7 368.8
Operating Segments | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 593.2 $ 500.1 $ 473.4
Operating Segments | Janitorial                      
Revenue from External Customer [Line Items]                      
Revenues                 3,937.9    
Operating Segments | Janitorial | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 2,316.1    
Operating Segments | Janitorial | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 125.8    
Operating Segments | Janitorial | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 739.7    
Operating Segments | Janitorial | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 756.3    
Operating Segments | Janitorial | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Parking                      
Revenue from External Customer [Line Items]                      
Revenues                 875.8    
Operating Segments | Parking | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 511.5    
Operating Segments | Parking | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 335.3    
Operating Segments | Parking | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 25.9    
Operating Segments | Parking | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 3.1    
Operating Segments | Parking | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Facility Services                      
Revenue from External Customer [Line Items]                      
Revenues                 734.6    
Operating Segments | Facility Services | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 423.1    
Operating Segments | Facility Services | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 72.1    
Operating Segments | Facility Services | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 151.4    
Operating Segments | Facility Services | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 88.0    
Operating Segments | Facility Services | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Building & Energy Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 593.2    
Operating Segments | Building & Energy Solutions | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Building & Energy Solutions | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Building & Energy Solutions | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Building & Energy Solutions | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Building & Energy Solutions | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 593.2    
Operating Segments | Airline Services                      
Revenue from External Customer [Line Items]                      
Revenues                 484.8    
Operating Segments | Airline Services | Business & Industry                      
Revenue from External Customer [Line Items]                      
Revenues                 0.6    
Operating Segments | Airline Services | Aviation                      
Revenue from External Customer [Line Items]                      
Revenues                 484.1    
Operating Segments | Airline Services | Technology & Manufacturing                      
Revenue from External Customer [Line Items]                      
Revenues                 0.1    
Operating Segments | Airline Services | Education                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Operating Segments | Airline Services | Technical Solutions                      
Revenue from External Customer [Line Items]                      
Revenues                 0.0    
Intersegment Eliminations                      
Revenue from External Customer [Line Items]                      
Revenues                 $ (127.7)