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Income Taxes - Reconciliation of Income Tax Expense at the Statutory Rate (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Jun. 30, 2022 | Jun. 30, 2021
Income Taxes Paid, Net [Abstract] |  |
Computed at the statutory rate | $ 1,644 | $ 1,550
Increase (decrease) resulting from |  |
Tax exempt interest | (11) | (8)
Cash surrender value of life insurance | (102) | (87)
State income taxes | 570 | 540
Other | (58) | 39
Actual tax expense | $ 2,043 | $ 2,034
Tax rate as a percentage of pre-tax income | 26.10% | 27.60%

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