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Revenues - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2021
Oct. 31, 2020
Oct. 31, 2019
Revenue from External Customer [Line Items]      
Revenues $ 6,228.6 $ 5,987.6 $ 6,498.6
Operating Segments      
Revenue from External Customer [Line Items]      
Revenues 6,372.9 6,110.0  
Operating Segments | Business & Industry      
Revenue from External Customer [Line Items]      
Revenues 3,346.5 3,157.8 3,251.4
Operating Segments | Technology & Manufacturing      
Revenue from External Customer [Line Items]      
Revenues 987.1 956.0 917.0
Operating Segments | Education      
Revenue from External Customer [Line Items]      
Revenues 836.4 808.8 847.4
Operating Segments | Aviation      
Revenue from External Customer [Line Items]      
Revenues 668.8 680.9 1,017.3
Operating Segments | Technical Solutions      
Revenue from External Customer [Line Items]      
Revenues 534.0 506.6 593.2
Operating Segments | Janitorial      
Revenue from External Customer [Line Items]      
Revenues 4,290.3 4,029.0  
Operating Segments | Janitorial | Business & Industry      
Revenue from External Customer [Line Items]      
Revenues 2,651.7 2,420.4  
Operating Segments | Janitorial | Technology & Manufacturing      
Revenue from External Customer [Line Items]      
Revenues 790.5 770.9  
Operating Segments | Janitorial | Education      
Revenue from External Customer [Line Items]      
Revenues 730.8 716.5  
Operating Segments | Janitorial | Aviation      
Revenue from External Customer [Line Items]      
Revenues 117.2 121.2  
Operating Segments | Janitorial | Technical Solutions      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Operating Segments | Parking      
Revenue from External Customer [Line Items]      
Revenues 599.4 654.0  
Operating Segments | Parking | Business & Industry      
Revenue from External Customer [Line Items]      
Revenues 296.9 362.8  
Operating Segments | Parking | Technology & Manufacturing      
Revenue from External Customer [Line Items]      
Revenues 39.8 33.5  
Operating Segments | Parking | Education      
Revenue from External Customer [Line Items]      
Revenues 0.9 1.8  
Operating Segments | Parking | Aviation      
Revenue from External Customer [Line Items]      
Revenues 261.8 255.9  
Operating Segments | Parking | Technical Solutions      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Operating Segments | Facility Services      
Revenue from External Customer [Line Items]      
Revenues 687.8 647.9  
Operating Segments | Facility Services | Business & Industry      
Revenue from External Customer [Line Items]      
Revenues 397.4 374.1  
Operating Segments | Facility Services | Technology & Manufacturing      
Revenue from External Customer [Line Items]      
Revenues 156.8 151.6  
Operating Segments | Facility Services | Education      
Revenue from External Customer [Line Items]      
Revenues 104.7 90.5  
Operating Segments | Facility Services | Aviation      
Revenue from External Customer [Line Items]      
Revenues 28.9 31.6  
Operating Segments | Facility Services | Technical Solutions      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Operating Segments | Building & Energy Solutions      
Revenue from External Customer [Line Items]      
Revenues 534.0 506.6  
Operating Segments | Building & Energy Solutions | Business & Industry      
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 | Aviation      
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 534.0 506.6  
Operating Segments | Airline Services      
Revenue from External Customer [Line Items]      
Revenues 261.4 272.6  
Operating Segments | Airline Services | Business & Industry      
Revenue from External Customer [Line Items]      
Revenues 0.5 0.4  
Operating Segments | Airline Services | Technology & Manufacturing      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Operating Segments | Airline Services | Education      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Operating Segments | Airline Services | Aviation      
Revenue from External Customer [Line Items]      
Revenues 260.9 272.2  
Operating Segments | Airline Services | Technical Solutions      
Revenue from External Customer [Line Items]      
Revenues 0.0 0.0  
Elimination of inter-segment revenues      
Revenue from External Customer [Line Items]      
Revenues $ (144.2) $ (122.4) $ (127.7)