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BUSINESS DESCRIPTION AND SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Self-Insurance Accruals and Distribution Costs (Narrative) (Details) - USD ($) $ in Millions | 12 Months Ended
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Jun. 30, 2025 | Jun. 30, 2024 | Jun. 30, 2023
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |  |
Decrease in self-insurance expense | $ 0.8 | $ 0.9 | $ 1.4
Self-insurance accruals, current | 1.2 | 1.7 |
Self-insurance accruals, noncurrent | $ 3.5 | $ 4.7 |

X
- Definition Represents the increase or decrease in self-insurance expense resulting from changes in estimates related to prior year open policy periods related to continuing operations. + References No definition available. + Details
Name: | rgs_IncreaseDecreaseInSelfInsuranceExpenseDueToChangeInPriorYearEstimates
Namespace Prefix: | rgs_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Carrying amount of accrued known and estimated losses incurred as of the balance sheet date for which no insurance coverage exists, and for which a claim has been made or is probable of being asserted, arising from workmen's compensation-type of incidents that are expected to be paid within one year (or the normal operating cycle, if longer). + References No definition available. + Details
Name: | rgs_SelfInsuranceReserveWorkersCompensationCurrent
Namespace Prefix: | rgs_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Carrying amount of accrued known and estimated losses incurred as of the balance sheet date for which no insurance coverage exists, and for which a claim has been made or is probable of being asserted, arising from workmen's compensation-type of incidents that are expected to be paid after one year (or the normal operating cycle, if longer). + References No definition available. + Details
Name: | rgs_SelfInsuranceReserveWorkersCompensationNoncurrent
Namespace Prefix: | rgs_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- References No definition available. + Details
Name: | us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration