v3.22.2.2
Income Taxes - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended
Oct. 31, 2022
Oct. 31, 2021
Oct. 31, 2022
Oct. 31, 2021
Income Taxes [Line Items]        
Income tax provision $ 1,112,000 $ (1,560,000) $ 4,958,000 $ 1,129,000
Unrecognized tax benefits $ 31,500,000   $ 31,500,000  
Corporate Alternative Minimum Tax     15.00%  
Excise tax rate on stock repurchases     1.00%  
Adjusted [Member]        
Income Taxes [Line Items]        
Minimum corporate tax average annual adjusted financial statement income amount     $ 1,000,000,000  
Minimum corporate tax average annual financial statement income amount for U.S and non-U.S parented group     1,000,000,000  
Minimum corporate tax average annual adjusted financial statement income amount for U.S. member of non-U.S. parented group     $ 100,000,000  
U.S. federal tax authorities [Member] | Earliest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2013  
U.S. federal tax authorities [Member] | Latest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2021  
U.S. state tax authorities [Member] | Earliest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2009  
U.S. state tax authorities [Member] | Latest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2021  
Foreign tax authorities [Member] | Earliest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2015  
Foreign tax authorities [Member] | Latest tax year [Member]        
Income Taxes [Line Items]        
Income tax examination, year     2021