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Fair Value Measurement - Summary of Quantitative Information about Significant Unobservable Inputs Used in Fair Value Measurement of Contingent Consideration (Parenthetical) (Detail)	3 Months Ended
	Sep. 30, 2022
Fair Value Disclosures [Abstract]
Contingent consideration, earnout period	3 years

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- Definition

Business combination, contingent consideration arrangements, earnout period.

+ References

No definition available.

+ Details

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Namespace Prefix:	rlgt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

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- References

No definition available.

+ Details

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