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Commitments and Contingencies (Details)
$ in Millions
9 Months Ended
Oct. 01, 2021
individual
May 31, 2022
USD ($)
May 31, 2021
USD ($)
Commitments and Contingencies Disclosure [Abstract]      
Standard warranty term   5 years  
Movement in Standard Product Warranty Accrual [Roll Forward]      
Beginning balance   $ 20.3 $ 16.1
Warranty and recall costs   21.4 23.8
Payments and other deductions   (21.3) (21.2)
Ending balance   20.4 $ 18.7
Securities Class Action      
Loss Contingencies [Line Items]      
Accrual related to the securities class action matter   $ 15.8  
Shareholder Derivative Complaint      
Loss Contingencies [Line Items]      
Number of former executives alleged to be in violation | individual 3