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Debt and Lines of Credit - Lines of Credit (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2025
Nov. 25, 2024
Jun. 30, 2022
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Line of Credit Facility [Line Items]            
Borrowings from term loan       $ 600.0 $ 0.0 $ 0.0
Term Loan Facility | Lines of Credit            
Line of Credit Facility [Line Items]            
Revolving credit facility   $ 600.0        
Repayments of debt       200.0    
Long-term debt       400.0    
Term Loan Facility | Lines of Credit | QSC, LLC            
Line of Credit Facility [Line Items]            
Borrowings from term loan $ 600.0          
Term Loan Facility | Lines of Credit | Minimum | Secured Overnight Financing Rate (SOFR)            
Line of Credit Facility [Line Items]            
Applicable margins as determined by leverage ratio   0.875%        
Term Loan Facility | Lines of Credit | Minimum | Base Rate            
Line of Credit Facility [Line Items]            
Applicable margins as determined by leverage ratio   0.00%        
Term Loan Facility | Lines of Credit | Maximum | Secured Overnight Financing Rate (SOFR)            
Line of Credit Facility [Line Items]            
Applicable margins as determined by leverage ratio   1.375%        
Term Loan Facility | Lines of Credit | Maximum | Base Rate            
Line of Credit Facility [Line Items]            
Applicable margins as determined by leverage ratio   0.375%        
The Credit Agreement | Lines of Credit            
Line of Credit Facility [Line Items]            
Additional borrowing capacity under revolving credit facility       595.8    
Revolving credit facility borrowings | Credit Facility | Lines of Credit            
Line of Credit Facility [Line Items]            
Revolving credit facility     $ 600.0      
Term of instrument (in years)     5 years      
Additional borrowing capacity under revolving credit facility     $ 400.0      
Long-term borrowings under credit agreement       0.0 $ 0.0  
Revolving credit facility borrowings | Credit Facility | Letter of Credit            
Line of Credit Facility [Line Items]            
Outstanding letters of credit       $ 4.2