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Related Party Transactions (Details) - USD ($)
9 Months Ended
Oct. 03, 2025
Oct. 02, 2025
Dec. 31, 2025
ISQ Open Infrastructure Company LLC - Series I [Member]      
Related Party Considerations [Line Items]      
Expenses     $ 642,214
Due from manager     476,948
Expense     1,287,838
Organizational expenses cost     328,197
Organizational costs payable     268,457
Offering costs     221,784
Deferred offering costs     48,587
Other expenses     1,000
Offering costs     48,587
Professional fees     288,945
ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Due from manager     4,360,335
Organizational expenses cost     2,867,509
Organizational costs payable     2,559,348
Offering costs     1,734,837
Deferred offering costs     411,159
Unpaid management fee     $ 212,689
Total Return attributable     100.00%
Loss carryforward excess profits percentage     100.00%
Manager equals percentage     12.50%
Remaining excess profits percentage     12.50%
Manager earned    
Due from manager     4,360,335
accrued cost     372,221
Other expenses     464,045
Organizational costs payable     2,559,348
Offering costs     411,159
Portfolio from affiliates composed $ 80,653,445 $ 80,653,445  
Transactions cost     4,014,224
Incurred interest costs     1,563,143
Manager support service     6,371,865
Payable to Manager     849
Professional fees     1,935,077
Affiliate investors contributed     $ 9,641,438
Investor Shares Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Total Return attributable     12.50%
High Water Mark [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Total Return attributable     5.00%
Performance Participation Allocation [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Manager earned     $ 3,415,609
Expense Limitation Agreement [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Manager agreed to reimburse expenses     6,371,865
National Express LLC [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Transactions cost     455,820
ENTEK Technology Holdings LLC [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Transactions cost     6,645,179
Matterhorn Express Pipeline LLC [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Transactions cost     13,331,455
Manager [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Organizational expenses cost     77,126
Paid to manager     0
Other expenses     12,312
Offering costs     2,145,996
Manager support service     849
Professional fees     218,888
Investment related expenses [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Other expenses     $ 372,221
Class F-D Shares [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Management fee     0.75%
Class S Shares [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Management fee     1.25%
Maximum [Member] | Affiliated Entity [Member] | ISQ Open Infrastructure Company LLC - Series I [Member]      
Related Party Considerations [Line Items]      
Percentage of net assets do not exceed     0.75%
Maximum [Member] | Affiliated Entity [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Percentage of net assets do not exceed     0.75%
Maximum [Member] | Affiliated Entity [Member] | Expense Limitation and Reimbursement Agreement [Member] | ISQ Open Infrastructure Company LLC - Series I [Member]      
Related Party Considerations [Line Items]      
Percentage of net assets do not exceed     0.75%
Maximum [Member] | Affiliated Entity [Member] | Expense Limitation and Reimbursement Agreement [Member] | ISQ Open Infrastructure Company LLC - Series II [Member]      
Related Party Considerations [Line Items]      
Percentage of net assets do not exceed     0.75%