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GOODWILL AND OTHER INTANGIBLE ASSETS - Changes in Carrying Amounts of Goodwill by Segment (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 31, 2022
Oct. 31, 2022
Oct. 31, 2021
Goodwill [Roll Forward]      
Beginning balance $ 2,228.9 $ 2,228.9 $ 1,671.4
Acquisition   269.2 0.0
Reallocation   0.0  
Foreign currency translation   (12.6) 3.4
Ending balance   2,485.6 2,228.9
Business & Industry      
Goodwill [Roll Forward]      
Beginning balance 1,129.8 1,129.8 574.0
Acquisition   61.7 554.0
Reallocation   (95.0)  
Foreign currency translation   (8.7) 1.8
Ending balance   1,087.9 1,129.8
Business & Industry | Reorganization of Business Segments, From B&I Segment      
Goodwill [Roll Forward]      
Reallocation (95.0)    
Manufacturing & Distribution      
Goodwill [Roll Forward]      
Beginning balance 407.2 407.2 407.2
Acquisition   0.0 0.0
Reallocation   95.0  
Foreign currency translation   0.0 0.0
Ending balance   502.2 407.2
Manufacturing & Distribution | Reorganization of Business Segments, From B&I Segment      
Goodwill [Roll Forward]      
Reallocation 95.0    
Education      
Goodwill [Roll Forward]      
Beginning balance 459.3 459.3 459.3
Acquisition   0.0 0.0
Reallocation   0.0  
Foreign currency translation   0.0 0.0
Ending balance   459.3 459.3
Aviation      
Goodwill [Roll Forward]      
Beginning balance 69.9 69.9 69.5
Acquisition   0.0 0.0
Reallocation   0.0  
Foreign currency translation   (1.1) 0.4
Ending balance   68.7 69.9
Technical Solutions      
Goodwill [Roll Forward]      
Beginning balance $ 162.7 162.7 161.5
Acquisition   207.5 0.0
Reallocation   0.0  
Foreign currency translation   (2.7) 1.2
Ending balance   $ 367.4 $ 162.7