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Intangible Assets, net (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2021
Jun. 30, 2021
Sep. 30, 2020
Finite-Lived Intangible Assets      
Finite-lived intangible assets, gross $ 376.8 $ 376.8 $ 425.9
Finite-lived intangible assets, accumulated amortization (148.8) (148.8) (151.6)
Finite-lived intangible assets, net 228.0 228.0 274.3
Accelerated amortization 11.8 29.9  
Customer relationships      
Finite-Lived Intangible Assets      
Finite-lived intangible assets, gross 178.6 178.6 209.4
Finite-lived intangible assets, accumulated amortization (72.9) (72.9) (76.9)
Finite-lived intangible assets, net 105.7 105.7 132.5
Trademarks and brands      
Finite-Lived Intangible Assets      
Finite-lived intangible assets, gross 195.1 195.1 213.4
Finite-lived intangible assets, accumulated amortization (72.8) (72.8) (71.6)
Finite-lived intangible assets, net 122.3 122.3 141.8
Other intangible assets      
Finite-Lived Intangible Assets      
Finite-lived intangible assets, gross 3.1 3.1 3.1
Finite-lived intangible assets, accumulated amortization (3.1) (3.1) (3.1)
Finite-lived intangible assets, net $ 0.0 $ 0.0 $ 0.0