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REVENUES - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Apr. 30, 2022
Apr. 30, 2021
Apr. 30, 2022
Apr. 30, 2021
Revenue from External Customer [Line Items]        
Revenues $ 1,897.8 $ 1,497.4 $ 3,834.1 $ 2,989.8
Operating Segments        
Revenue from External Customer [Line Items]        
Revenues 1,897.8 1,497.4 3,834.1 2,989.8
Operating Segments | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 1,003.6 673.9 2,033.1 1,364.1
Operating Segments | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 356.9 340.3 716.0 681.0
Operating Segments | Education        
Revenue from External Customer [Line Items]        
Revenues 204.4 212.8 410.1 420.8
Operating Segments | Aviation        
Revenue from External Customer [Line Items]        
Revenues 185.9 145.9 386.1 286.8
Operating Segments | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 147.0 124.5 288.8 237.1
Operating Segments | Janitorial        
Revenue from External Customer [Line Items]        
Revenues 1,188.2 1,031.7 2,378.4 2,063.3
Operating Segments | Janitorial | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 676.7 527.5 1,354.6 1,060.5
Operating Segments | Janitorial | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 307.2 289.5 611.3 575.9
Operating Segments | Janitorial | Education        
Revenue from External Customer [Line Items]        
Revenues 177.9 185.9 356.2 369.0
Operating Segments | Janitorial | Aviation        
Revenue from External Customer [Line Items]        
Revenues 26.4 28.8 56.2 58.0
Operating Segments | Janitorial | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Parking        
Revenue from External Customer [Line Items]        
Revenues 171.2 139.1 343.2 274.0
Operating Segments | Parking | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 85.1 68.1 168.4 137.0
Operating Segments | Parking | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 8.8 10.0 19.5 21.7
Operating Segments | Parking | Education        
Revenue from External Customer [Line Items]        
Revenues 0.3 0.2 0.5 0.4
Operating Segments | Parking | Aviation        
Revenue from External Customer [Line Items]        
Revenues 77.1 60.8 154.8 114.9
Operating Segments | Parking | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Facility Services        
Revenue from External Customer [Line Items]        
Revenues 315.8 151.5 661.9 313.2
Operating Segments | Facility Services | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 241.8 78.4 510.2 166.6
Operating Segments | Facility Services | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 41.0 40.7 85.2 83.5
Operating Segments | Facility Services | Education        
Revenue from External Customer [Line Items]        
Revenues 26.3 26.6 53.3 51.4
Operating Segments | Facility Services | Aviation        
Revenue from External Customer [Line Items]        
Revenues 6.8 5.8 13.3 11.7
Operating Segments | Facility Services | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Building & Energy Solutions        
Revenue from External Customer [Line Items]        
Revenues 147.0 124.5 288.8 237.1
Operating Segments | Building & Energy Solutions | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Building & Energy Solutions | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Building & Energy Solutions | Education        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Building & Energy Solutions | Aviation        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Building & Energy Solutions | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues 147.0 124.5 288.8 237.1
Operating Segments | Airline Services        
Revenue from External Customer [Line Items]        
Revenues 75.5 50.5 161.8 102.2
Operating Segments | Airline Services | Business & Industry        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Airline Services | Manufacturing & Distribution        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Airline Services | Education        
Revenue from External Customer [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Operating Segments | Airline Services | Aviation        
Revenue from External Customer [Line Items]        
Revenues 75.5 50.5 161.8 102.2
Operating Segments | Airline Services | Technical Solutions        
Revenue from External Customer [Line Items]        
Revenues $ 0.0 $ 0.0 $ 0.0 $ 0.0