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Commitments and Contingencies (Details)
$ in Millions
3 Months Ended
Oct. 01, 2021
individual
Aug. 12, 2019
claim
statement
Nov. 30, 2021
USD ($)
Nov. 30, 2020
USD ($)
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     4.4 6.6
Payments and other deductions     (4.5) (5.9)
Ending balance     20.2 $ 16.8
Securities Class Action        
Loss Contingencies [Line Items]        
Accrual related to the securities class action matter     $ 15.8  
Number of statements used as basis for dismissing claims | statement   42    
Total number of statements challenged in the Consolidated Complaint | statement   47    
Number of challenged statements allowed to proceed to discovery | claim   5    
Shareholder Derivative Complaint        
Loss Contingencies [Line Items]        
Number of former executives alleged to be in violation | individual 3