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Commitments and Contingencies - Schedule of Potential Earn-Out Payments (Detail) $ in Thousands	Sep. 30, 2025 USD ($)
Earn Out Payments Payable [Line Items]
2026 (remaining)	$ 6,200
2027	11,310
2028	3,340
2029	500
2030	200
Total	$ 21,550

X

- Definition

Earn out payment due in four year.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentDueInFourYear
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn out payment due in next twelve months.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentDueInNextTwelveMonths
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn out payment due in second year.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentDueInSecondYear
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn out payment due in third year.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentDueInThirdYear
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn out payment due remaining fiscal year.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentDueRemainingFiscalYear
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn out payments payable.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentsPayable
Namespace Prefix:	rlgt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Earn-out payments payable.

+ References

No definition available.

+ Details

Name:	rlgt_EarnOutPaymentsPayableLineItems
Namespace Prefix:	rlgt_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration