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Leases - Additional Information (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024
Leases [Abstract]
Lease term expiration month and year			2034-10
Lease termination cost	$ 210	$ 0	$ 1,376	$ 76

X

- Definition

Cost of lease termination.

+ References

No definition available.

+ Details

Name:	rlgt_CostOfLeaseTermination
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Operating and financing lease expiration date.

+ References

No definition available.

+ Details

Name:	rlgt_OperatingAndFinancingLeaseExpirationMonthAndYear
Namespace Prefix:	rlgt_
Data Type:	xbrli:gYearMonthItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_LeasesAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration