REVENUES - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2022	Jul. 31, 2021	Jul. 31, 2022	Jul. 31, 2021
Revenue from External Customer [Line Items]
Revenues	$ 1,961.4	$ 1,543.1	$ 5,795.5	$ 4,533.0
Operating Segments
Revenue from External Customer [Line Items]
Revenues	1,961.4	1,543.1	5,795.5	4,533.0
Operating Segments \| Business & Industry
Revenue from External Customer [Line Items]
Revenues	1,033.8	682.9	3,067.0	2,046.9
Operating Segments \| Manufacturing & Distribution
Revenue from External Customer [Line Items]
Revenues	358.1	340.5	1,074.1	1,021.5
Operating Segments \| Education
Revenue from External Customer [Line Items]
Revenues	207.5	207.0	617.6	627.8
Operating Segments \| Aviation
Revenue from External Customer [Line Items]
Revenues	203.5	167.8	589.7	454.7
Operating Segments \| Technical Solutions
Revenue from External Customer [Line Items]
Revenues	158.4	145.0	447.2	382.1
Operating Segments \| Janitorial
Revenue from External Customer [Line Items]
Revenues	1,213.1	1,029.0	3,591.5	3,092.2
Operating Segments \| Janitorial \| Business & Industry
Revenue from External Customer [Line Items]
Revenues	696.2	530.7	2,050.7	1,591.2
Operating Segments \| Janitorial \| Manufacturing & Distribution
Revenue from External Customer [Line Items]
Revenues	311.0	289.5	922.3	865.3
Operating Segments \| Janitorial \| Education
Revenue from External Customer [Line Items]
Revenues	178.4	180.2	534.7	549.2
Operating Segments \| Janitorial \| Aviation
Revenue from External Customer [Line Items]
Revenues	27.5	28.5	83.8	86.5
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	182.0	151.4	525.2	425.4
Operating Segments \| Parking \| Business & Industry
Revenue from External Customer [Line Items]
Revenues	91.1	76.3	259.5	213.3
Operating Segments \| Parking \| Manufacturing & Distribution
Revenue from External Customer [Line Items]
Revenues	8.4	9.2	27.9	30.9
Operating Segments \| Parking \| Education
Revenue from External Customer [Line Items]
Revenues	0.1	0.2	0.6	0.6
Operating Segments \| Parking \| Aviation
Revenue from External Customer [Line Items]
Revenues	82.4	65.7	237.2	180.6
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	321.3	150.6	983.2	464.0
Operating Segments \| Facility Services \| Business & Industry
Revenue from External Customer [Line Items]
Revenues	246.6	75.8	756.7	242.4
Operating Segments \| Facility Services \| Manufacturing & Distribution
Revenue from External Customer [Line Items]
Revenues	38.7	41.7	123.9	125.3
Operating Segments \| Facility Services \| Education
Revenue from External Customer [Line Items]
Revenues	29.0	26.7	82.3	78.1
Operating Segments \| Facility Services \| Aviation
Revenue from External Customer [Line Items]
Revenues	7.0	6.5	20.3	18.2
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	158.4	145.0	447.2	382.1
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	158.4	145.0	447.2	382.1
Operating Segments \| Airline Services
Revenue from External Customer [Line Items]
Revenues	86.6	67.1	248.4	169.4
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	86.6	67.1	248.4	169.4
Operating Segments \| Airline Services \| Technical Solutions
Revenue from External Customer [Line Items]
Revenues	$ 0.0	$ 0.0	$ 0.0	$ 0.0