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Revenue Recognition - Schedule of Changes in Warranty Liability and Unearned Extended Warranty Premiums (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2021
Dec. 31, 2022
Sep. 30, 2021
Sep. 30, 2020
Disaggregation of Revenue [Abstract]        
Balance at beginning of period $ 65.8 $ 66.9 $ 64.4 $ 68.2
Deferred revenue for new service-type warranties 6.4 31.5 26.2 23.6
Amortization of deferred revenue (5.3) (21.7) (25.0) (27.9)
Foreign currency translation   (0.6) 0.2 0.5
Balance at end of period $ 66.9 $ 76.1 $ 65.8 $ 64.4