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Commitments and Contingencies - Warranty Claims (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Dec. 31, 2021
Sep. 30, 2021
Dec. 31, 2020
Sep. 30, 2020
Movement in Standard Product Warranty Accrual [Roll Forward]                
Standard Product Warranty Accrual $ 407.8 $ 340.7 $ 407.8 $ 340.7 $ 390.0 $ 376.3 $ 324.0 $ 310.2
Standard Product Warranty Accrual, Increase for Warranties Issued 43.6 36.3 82.5 69.7        
Standard Product Warranty Accrual, Increase (Decrease) for Preexisting Warranties 3.0 1.1 7.3 3.7        
Standard Product Warranty Accrual, Decrease for Payments $ 28.8 $ 20.7 $ 58.3 $ 42.9