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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 |

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- Definition An excise tax rate on the fair market value of stock repurchases by a publicly traded corporation per Inflation Reduction Act of 2022. + References No definition available. + Details
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