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Intangible Assets, Goodwill and Acquisitions - Schedule of Changes in Carrying Amount of Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Goodwill [Line Items]    
Beginning balance $ 1,766.8 $ 1,703.8
Acquisitions 43.6 63.0
Ending balance 1,810.4 1,766.8
Maintenance Services    
Goodwill [Line Items]    
Beginning balance 1,572.4 1,523.3
Acquisitions 43.6 49.1
Ending balance 1,616.0 1,572.4
Development Services    
Goodwill [Line Items]    
Beginning balance 194.4 180.5
Acquisitions   13.9
Ending balance $ 194.4 $ 194.4