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Income Taxes - Reconciliation of Income Tax Expense at the Statutory Rate (Detail) - USD ($)
$ in Thousands
12 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Income Taxes Paid, Net [Abstract]    
Computed at the statutory rate $ 1,236 $ 1,019
Increase (decrease) resulting from    
Tax exempt interest (16) (26)
Cash surrender value of life insurance (57) (56)
State income taxes 441 329
Other 35 27
Income tax expense $ 1,639 $ 1,293
Tax rate as a percentage of pre-tax income 27.90% 26.70%