Aggregate of private placement of units.

No definition available.

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Namespace Prefix:	rangu_
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Balance Type:	na
Period Type:	duration

- Definition

Cash underwriting discount per option unit.

+ References

No definition available.

+ Details

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Namespace Prefix:	rangu_
Data Type:	dtr-types:perShareItemType
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Period Type:	instant

- Definition

Cash underwriting discount per unit.

+ References

No definition available.

+ Details

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Namespace Prefix:	rangu_
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- References

No definition available.

+ Details

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- Definition

Percentage of gross proceeds of initial public offering.

+ References

No definition available.

+ Details

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Namespace Prefix:	rangu_
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Period Type:	instant

- Definition

Percentage of gross proceeds of initial public offering paid to EBC.

+ References

No definition available.

+ Details

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- Definition

Percentage of total consideration payable in initial business combination.

+ References

No definition available.

+ Details

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Namespace Prefix:	rangu_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Price per private placement unit.

+ References

No definition available.

+ Details

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Balance Type:	na
Period Type:	duration

- Definition

Purchase of additional units to cover over allotments.

+ References

No definition available.

+ Details

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Namespace Prefix:	rangu_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

A description of the time period when the company made its initial offering of a class of securities.

+ References

No definition available.

+ Details

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

- Definition

The cash inflow associated with the amount received from entity's raising of capital via private rather than public placement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 14
-Subparagraph (a)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-14

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The number of shares issued or sold by the subsidiary or equity method investee per stock transaction.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
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- Details

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- Details

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- Details

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Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
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- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=rangu_SponsorAndEbcMember
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Commitments And Contingencies (Details) - USD ($)					5 Months Ended	12 Months Ended
Commitments And Contingencies (Details) - USD ($)	Sep. 30, 2025	Jan. 03, 2025	Dec. 31, 2024	Dec. 23, 2024	Dec. 31, 2024	Dec. 31, 2025
Commitments And Contingencies Disclosure [Line Items]
Proceeds from issuance of private placement					$ 4,000,000	$ 375,000
Sale of stock, number of shares issued in transaction					400,000	37,500
Underwriting Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Initial offering period			45
Purchase of additional units to cover over allotments			1,500,000
Business Combination Marketing Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Initial offering period	60
Percentage of gross proceeds of initial public offering						3.50%
Percentage of gross proceeds of initial public offering paid to EBC						1.00%
Percentage of total consideration payable in initial business combination						1.00%
Private Placement [Member]
Commitments And Contingencies Disclosure [Line Items]
Proceeds from issuance of private placement				$ 4,000,000
Sale of stock, number of shares issued in transaction			37,500	400,000	400,000	400,000
Private Placement [Member] \| Underwriting Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Price per private placement unit			$ 10
Proceeds from issuance of private placement			$ 375,000
IPO [Member] \| Underwriting Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Cash underwriting discount per unit				$ 0.2
Sale of stock, number of shares issued in transaction				2,000,000
Over-Allotment Option [Member] \| Underwriting Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Sale of stock, number of shares issued in transaction		300,000
Cash underwriting discount per option unit		$ 0.2
Sponsor and EBC [Member] \| Private Placement [Member] \| Underwriting Agreement [Member]
Commitments And Contingencies Disclosure [Line Items]
Aggregate of private placement of units			37,500