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Long-Term Debt - Narrative (Details)
$ / shares in Units, $ in Thousands, ₩ in Millions
9 Months Ended
May 31, 2022
Nov. 04, 2021
USD ($)
$ / shares
shares
Sep. 24, 2021
USD ($)
Jun. 30, 2022
USD ($)
Jun. 30, 2021
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2021
KRW (₩)
Sep. 24, 2021
KRW (₩)
tranche
Short-term Debt [Line Items]                
Debt issuance costs incurred       $ 66,911 $ 24,082      
Proceeds from line of credit       797,091 $ 697,153      
Senior Secured Credit Facility | Line of Credit                
Short-term Debt [Line Items]                
Transaction costs       700        
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | Federal Funds Rate                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 0.50%              
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 0.10%              
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | London Interbank Offered Rate (LIBOR), Floor Rate                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 0.75%              
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | London Interbank Offered Rate (LIBOR)                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 1.00%              
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | Leverage-Based Margin | Minimum                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 1.00%              
Senior Secured Credit Facility, Base Rate Loans | Line of Credit | Leverage-Based Margin | Maximum                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 2.75%              
Senior Secured Credit Facility, SOFR Loans | Line of Credit | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 0.10%              
Senior Secured Credit Facility, SOFR Loans | Line of Credit | London Interbank Offered Rate (LIBOR), Floor Rate                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 0.75%              
Senior Secured Credit Facility, SOFR Loans | Line of Credit | Leverage-Based Margin | Minimum                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 2.00%              
Senior Secured Credit Facility, SOFR Loans | Line of Credit | Leverage-Based Margin | Maximum                
Short-term Debt [Line Items]                
Basis spread on variable rate (as a percent) 3.75%              
Inspire Korea Credit Facility                
Short-term Debt [Line Items]                
Borrowing capacity           $ 878,500 ₩ 1,040,000.0 ₩ 1,040,000.0
Number of tranches | tranche               2
Debt instrument, term     48 months          
Period after first draw for prepayment     1 year          
Undrawn commitment fee (as a percent)     0.30%          
Credit enhancement support (up to)     $ 100,000          
Debt issuance costs incurred       59,100        
Inspire Korea Credit Facility | Tranche A Facility                
Short-term Debt [Line Items]                
Borrowing capacity           625,100 740,000.0 ₩ 740,000.0
Stated interest rate (as a percent)               5.40%
Inspire Korea Credit Facility | Tranche B Facility                
Short-term Debt [Line Items]                
Borrowing capacity           $ 253,400 ₩ 300,000.0 ₩ 300,000.0
Stated interest rate (as a percent)               7.00%
Loan interest reserve period (in months)     36 months          
MGE Korea Term Loan                
Short-term Debt [Line Items]                
Debt instrument, term   66 months            
Stated interest rate (as a percent)   17.00%            
Debt issuance costs incurred       10,000        
Proceeds from line of credit   $ 275,000            
Fixed charge percentage from share capital and debenture (as a percent)   100.00%            
Debt discount   $ 84,800            
MGE Korea Warrants And Put Option Liability                
Short-term Debt [Line Items]                
Debt issuance costs incurred       $ 4,200        
Number of warrants (in shares) | shares   4,400            
Initial warrant exercise price (in dollars per share) | $ / shares   $ 0.01            
Warrants, fully-diluted share capital (as a percent)   22.00%            
Aggregate purchase price   $ 110,000            
MGE Korea Warrants And Put Option Liability | Warrants And Put Option | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow                
Short-term Debt [Line Items]                
Warrants, unobservable inputs (as a percent)       0.115        
MGE Korea Warrants And Put Option Liability | Warrants And Put Option | Measurement Input, Price Volatility | Valuation Technique, Discounted Cash Flow                
Short-term Debt [Line Items]                
Warrants, unobservable inputs (as a percent)       0.550        
MGE Korea Warrants And Put Option Liability | Put Option                
Short-term Debt [Line Items]                
Warrants exercisable period (in months)   6 years            
MGE Korea Warrants And Put Option Liability | Call Option                
Short-term Debt [Line Items]                
Warrants exercisable period (in months)   6 months