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Intangible Assets, Goodwill and Acquisitions - Summary of Goodwill (Details) - USD ($)
$ in Millions
6 Months Ended 12 Months Ended
Mar. 31, 2022
Sep. 30, 2021
Goodwill [Line Items]    
Beginning balance $ 1,950.8 $ 1,859.3
Acquisitions 67.0 [1] 91.5
Ending balance 2,017.8 1,950.8
Maintenance Services    
Goodwill [Line Items]    
Beginning balance 1,758.0 1,680.4
Acquisitions 30.1 [1] 77.6
Ending balance 1,788.1 1,758.0
Development Services    
Goodwill [Line Items]    
Beginning balance 192.8 178.9
Acquisitions 36.9 [1] 13.9
Ending balance $ 229.7 $ 192.8
[1] The acquisitions adjustment includes the immaterial impact of foreign currency adjustments during the period.