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Derivatives - Additional Information (Detail)
€ in Millions, $ in Millions
3 Months Ended
Sep. 30, 2022
USD ($)
Mar. 31, 2022
USD ($)
Mar. 31, 2022
EUR (€)
Dec. 31, 2021
USD ($)
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Maximum period for hedging a portion of forecasted foreign currency denominated intercompany sales of inventory   18 months    
Accumulated other comprehensive income realization period   12 months    
Derivatives Foreign Currency Options [Member]        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Notional amount in EUR/USD | €     € 300  
Derivatives Foreign Currency Options [Member] | Term Loan [Member] | Atotech [Member]        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Notional amount in EUR/USD | €     € 500  
Foreign Exchange Forward Contracts [Member]        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Gross notional values of outstanding forward foreign exchange contracts | $   $ 155   $ 241
Other Expense, Net [Member] | Derivatives Foreign Currency Options [Member]        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Gain net of premium | $ $ 5