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Commitments and Contingencies (Tables)
6 Months Ended
Feb. 28, 2022
Commitments and Contingencies Disclosure [Abstract]  
Schedule of Product Warranty Liability
Six Months Ended
February 28, 2022February 28, 2021
Beginning balance$20.3 $16.1 
Warranty and recall costs12.4 10.1 
Payments and other deductions(11.4)(11.0)
Ending balance$21.3 $15.2