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Revenue - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Apr. 30, 2019
Apr. 30, 2018
Apr. 30, 2019
Apr. 30, 2018
Revenue from External Customer [Line Items]        
Revenues $ 1,594.7 $ 1,580.8 $ 3,202.6 $ 3,169.2
Operating Segments        
Revenue from External Customer [Line Items]        
Revenues 1,627.3   3,269.6  
Operating Segments | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 753.4 755.1 1,527.9 1,511.3
Operating Segments | Aviation        
Revenue from External Customer [Line Items]        
Revenues 250.0 249.2 502.4 509.2
Operating Segments | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 224.3 227.8 460.4 460.0
Operating Segments | Education        
Revenue from External Customer [Line Items]        
Revenues 205.6 206.9 410.3 413.8
Operating Segments | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 127.6 108.5 235.5 212.5
Operating Segments | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 66.3 69.9 133.0 137.6
Operating Segments | Janitorial        
Revenue from External Customer [Line Items]        
Revenues 978.5   1,968.4  
Operating Segments | Janitorial | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 542.8   1,092.5  
Operating Segments | Janitorial | Aviation        
Revenue from External Customer [Line Items]        
Revenues 30.4   61.5  
Operating Segments | Janitorial | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 184.4   372.2  
Operating Segments | Janitorial | Education        
Revenue from External Customer [Line Items]        
Revenues 184.2   367.5  
Operating Segments | Janitorial | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Janitorial | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 36.6   74.6  
Operating Segments | Parking        
Revenue from External Customer [Line Items]        
Revenues 216.7   438.8  
Operating Segments | Parking | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 111.2   225.5  
Operating Segments | Parking | Aviation        
Revenue from External Customer [Line Items]        
Revenues 84.2   170.0  
Operating Segments | Parking | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 5.9   13.3  
Operating Segments | Parking | Education        
Revenue from External Customer [Line Items]        
Revenues 0.8   1.6  
Operating Segments | Parking | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Parking | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 14.6   28.3  
Operating Segments | Facility Services        
Revenue from External Customer [Line Items]        
Revenues 186.9   391.6  
Operating Segments | Facility Services | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 99.3   209.5  
Operating Segments | Facility Services | Aviation        
Revenue from External Customer [Line Items]        
Revenues 17.9   35.9  
Operating Segments | Facility Services | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 34.0   74.8  
Operating Segments | Facility Services | Education        
Revenue from External Customer [Line Items]        
Revenues 20.6   41.3  
Operating Segments | Facility Services | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Facility Services | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 15.1   30.1  
Operating Segments | Building & Energy Solutions        
Revenue from External Customer [Line Items]        
Revenues 127.6   235.5  
Operating Segments | Building & Energy Solutions | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Building & Energy Solutions | Aviation        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Building & Energy Solutions | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Building & Energy Solutions | Education        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Building & Energy Solutions | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 127.6   235.5  
Operating Segments | Building & Energy Solutions | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Airline Services        
Revenue from External Customer [Line Items]        
Revenues 117.6   235.3  
Operating Segments | Airline Services | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 0.2   0.4  
Operating Segments | Airline Services | Aviation        
Revenue from External Customer [Line Items]        
Revenues 117.4   234.9  
Operating Segments | Airline Services | Technology & Manufacturing        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.1  
Operating Segments | Airline Services | Education        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Airline Services | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Operating Segments | Airline Services | Healthcare        
Revenue from External Customer [Line Items]        
Revenues 0.0   0.0  
Intersegment Eliminations        
Revenue from External Customer [Line Items]        
Revenues $ (32.6) $ (36.5) $ (67.0) $ (75.4)