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Borrowings - Senior Secured Credit Facilities - Additional Information (Details)
€ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Feb. 28, 2021
USD ($)
Apr. 03, 2022
USD ($)
Apr. 04, 2021
USD ($)
Oct. 03, 2021
USD ($)
Apr. 03, 2022
EUR (€)
Jan. 02, 2022
USD ($)
Debt Instrument [Line Items]            
Loss on extinguishment of debt   $ 0 $ 50,300,000      
Letters of Credit Outstanding, Amount   43,700,000        
Unamortized deferred financing costs   20,200,000       $ 21,400,000
Euro Term Loan Facility            
Debt Instrument [Line Items]            
Unamortized deferred financing costs   $ 3,400,000       3,600,000
Debt instrument, effective interest rate   3.88%     3.88%  
Revolving Credit Facility            
Debt Instrument [Line Items]            
Outstanding borrowings   $ 0        
Line of credit, available borrowing capacity   $ 456,300,000        
Maximum percentage of committed amount for first lien net leverage ratio   30.00%        
Unamortized deferred financing costs   $ 2,200,000       2,700,000
Revolving Credit Facility | Each Fiscal Quarter Ending on or Prior to September 30, 2022            
Debt Instrument [Line Items]            
First lien net leverage ratio   5.50     5.50  
Revolving Credit Facility | Each Fiscal Quarter Ending Thereafter            
Debt Instrument [Line Items]            
First lien net leverage ratio   5.00     5.00  
Dollar Term Loan Facility            
Debt Instrument [Line Items]            
Early repayment of debt $ 892,700,000          
Unamortized deferred financing costs   $ 7,500,000       8,100,000
Debt instrument, effective interest rate   5.76%     5.76%  
Dollar Term Loan Facility | Other Expense, Net            
Debt Instrument [Line Items]            
Loss on extinguishment of debt       $ (11,400,000)    
Letters of Credit            
Debt Instrument [Line Items]            
Letters of Credit Outstanding, Amount   $ 43,700,000        
Senior Secured Credit Facilities            
Debt Instrument [Line Items]            
Unamortized deferred financing costs   4,900,000       $ 5,300,000
Fifth Amendment of Credit Agreement | Euro Term Loan Facility            
Debt Instrument [Line Items]            
Line of credit, maximum borrowing capacity | €         € 337.4  
Fifth Amendment of Credit Agreement | Revolving Credit Facility            
Debt Instrument [Line Items]            
Line of credit, maximum borrowing capacity   500,000,000.0        
Fifth Amendment of Credit Agreement | Dollar Term Loan Facility            
Debt Instrument [Line Items]            
Line of credit, maximum borrowing capacity   $ 2,325,000,000.0