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Acquisitions - Schedule of Business Acquisition, Pro Forma Information (Details) - QSC, LLC - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Business Acquisition [Line Items]        
Revenue $ 1,059.4 $ 1,030.2 $ 2,158.6 $ 2,096.4
Net income $ 98.2 79.9 $ 208.8 148.5
Fair Value Adjustment to Inventory        
Business Acquisition [Line Items]        
Net income   $ 6.8   22.5
Acquisition-related Costs        
Business Acquisition [Line Items]        
Net income       $ 18.7