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Income Taxes - Additional Information (Detail) - USD ($)
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Taxes [Line Items]        
Other tax credit carryforwards $ 144,000,000      
Undistributed earnings 1,700,000,000      
Unrecognized tax benefits 22,000,000 $ 20,000,000 $ 159,000,000 $ 21,000,000
Unrecognized tax benefits, offset against deferred tax assets 13,000,000 14,000,000    
Non cash income tax expense (benefit) 24,000,000 152,000,000    
Accruals for penalties and interest 10,000,000 5,000,000    
Total penalties and interest 5,000,000 2,000,000 2,000,000  
Favorable impact on tax provision 22,000,000      
Purification Solutions [Member]        
Income Taxes [Line Items]        
Income tax benefit from tax loss related to divestiture   137,000,000 $ 137,000,000  
Other Liabilities [Member]        
Income Taxes [Line Items]        
Unrecognized tax benefits, recorded 9,000,000 6,000,000    
Maximum [Member]        
Income Taxes [Line Items]        
Other tax credit carryforwards $ 1,000,000      
Maximum [Member] | United States Internal Revenue Service (IRS) [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2023      
Minimum [Member] | United States Internal Revenue Service (IRS) [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2021      
Foreign Jurisdictions [Member]        
Income Taxes [Line Items]        
NOLs $ 35,000,000      
Foreign Jurisdictions [Member] | Maximum [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2023      
Foreign Jurisdictions [Member] | Minimum [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2006      
State Tax Authorities [Member] | Maximum [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2023      
State Tax Authorities [Member] | Minimum [Member]        
Income Taxes [Line Items]        
Tax years remain subject to examination 2018      
U.S. Defined Benefit Plans [Member]        
Income Taxes [Line Items]        
Increased/(decreased) valuation in allowance $ 494,000,000      
U.S. Defined Benefit Plans [Member] | Maximum [Member]        
Income Taxes [Line Items]        
Increased/(decreased) valuation in allowance   498,000,000    
U.S. Defined Benefit Plans [Member] | Minimum [Member]        
Income Taxes [Line Items]        
Increased/(decreased) valuation in allowance   $ (4,000,000)