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Debt - New Credit Facilities - Additional Information (Detail)
3 Months Ended
Aug. 17, 2022
USD ($)
Mar. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
Debt Instrument [Line Items]      
Debt instrument, interest rate terms   Borrowings under the New Credit Facilities bear interest at a rate per annum equal to, at the Company’s option, any of the following, plus, in each case, an applicable margin: (a) with respect to the USD Tranche A, the USD Tranche B and the New Revolving Facility, (x) a base rate determined by reference to the highest of (1) the federal funds effective rate plus 0.50%, (2) the prime rate quoted in The Wall Street Journal, or (3) a forward-looking term rate based on Term SOFR (plus an applicable credit spread adjustment) for an interest period of one month, plus 1.00%; and (y) a Term SOFR rate (plus an applicable credit spread adjustment) for the interest period relevant to such borrowing, subject to a rate floor of (I) with respect to the USD Tranche B, 0.50% and (II) with respect to the USD Tranche A and the New Revolving Facility, 0.0%; and (b) with respect to the Euro Tranche B, a Euro Interbank Offered Rate (“EURIBOR”) rate determined by reference to the costs of funds for Euro deposits for the interest period relevant to such borrowing adjusted for certain additional costs, subject to a EURIBOR rate floor of 0.0%.  
Initial commitment fee percentage   0.375%  
Outstanding principal amount   $ 5,111,000,000 $ 5,122,000,000
Annual Step-Down [Member]      
Debt Instrument [Line Items]      
Leverage ratio   0.25  
Step-Up [Member]      
Debt Instrument [Line Items]      
Leverage ratio   0.50  
Maximum [Member]      
Debt Instrument [Line Items]      
Leverage ratio   5.50  
Maximum [Member] | Step-Up [Member]      
Debt Instrument [Line Items]      
Leverage ratio   5.50  
Federal Funds Rate [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   0.50%  
Term SOFR Rate (Plus Applicable Credit Spread Adjustment) [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   1.00%  
EURIBOR Rate Floor [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   0.00%  
USD Tranche A [Member]      
Debt Instrument [Line Items]      
Borrowing capacity $ 1,000,000,000    
Scheduled quarterly payments percentage of original principal amount   1.25%  
USD Tranche A [Member] | Years 3 and 4 [Member]      
Debt Instrument [Line Items]      
Scheduled quarterly payments percentage of original principal amount   1.875%  
USD Tranche A [Member] | Year 5 [Member]      
Debt Instrument [Line Items]      
Scheduled quarterly payments percentage of original principal amount   2.50%  
USD Tranche A [Member] | Original Issue Discount [Member]      
Debt Instrument [Line Items]      
Original issue discount percentage of principal amount   0.25%  
USD Tranche A [Member] | Floor Rate [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   0.00%  
USD Tranche B [Member]      
Debt Instrument [Line Items]      
Borrowing capacity 3,600,000,000    
Scheduled quarterly payments percentage of original principal amount   0.25%  
USD Tranche B [Member] | Original Issue Discount [Member]      
Debt Instrument [Line Items]      
Original issue discount percentage of principal amount   2.00%  
USD Tranche B [Member] | Floor Rate [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   0.50%  
Euro Tranche B [Member]      
Debt Instrument [Line Items]      
Borrowing capacity 600,000,000    
Scheduled quarterly payments percentage of original principal amount   0.25%  
Euro Tranche [Member] | Original Issue Discount [Member]      
Debt Instrument [Line Items]      
Original issue discount percentage of principal amount   2.00%  
First Lien Net Leverage Ratio [Member] | Maximum [Member]      
Debt Instrument [Line Items]      
Leverage ratio   6.00  
Atotech [Member]      
Debt Instrument [Line Items]      
Borrowing capacity 500,000,000    
Base Rate Borrowings [Member] | USD Tranche A [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   1.50%  
Base Rate Borrowings [Member] | USD Tranche B [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   1.75%  
Term SOFR Borrowings [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   2.50%  
Term SOFR Borrowings [Member] | USD Tranche A [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   2.50%  
Term SOFR Borrowings [Member] | USD Tranche B [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   2.75%  
Borrowings under New Revolving Facility [Member] | Base Rate [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   1.50%  
Borrowings under Euro Tranche B [Member]      
Debt Instrument [Line Items]      
Debt instrument, interest rate   3.00%  
New Revolving Facility [Member]      
Debt Instrument [Line Items]      
Debt issuance costs $ 7,000,000    
Debt issuance costs, amortization period 4 years    
Prepayment premium percentage of aggregate principal amount   1.00%  
Total borrowings outstanding   $ 0  
New Revolving Facility [Member] | Minimum [Member]      
Debt Instrument [Line Items]      
Percentage of aggregate amount of all commitments   35.00%  
Term Loans under New Term Loan Facility [Member]      
Debt Instrument [Line Items]      
Deferred financing fees and original issue discount fees   $ 242,000,000  
New Term Loan Facility [Member]      
Debt Instrument [Line Items]      
Line of credit facility minimum additional borrowing capacity   $ 1,011,000,000  
Minimum percentage of consolidated EBITDA   75.00%  
Outstanding principal amount   $ 5,111,000,000  
Weighted average interest rate   7.30%