Shareholders' Equity - Schedule of Summary of the Shares Issued and Redeemed During the Period (Details) - shares	3 Months Ended			6 Months Ended
	Jun. 30, 2026	Jun. 30, 2025	Jun. 30, 2025	Jun. 30, 2026
F-STE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
F-STE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	517,755			107,654
Shares Issued During the Period	704,968			1,114,640
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period	3,130			3,559
Transfers In
Transfers Out
Shares Outstanding	1,225,853			1,225,853
F-DTE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
F-DTE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	401,563			400,110
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period	4,246			5,699
Transfers In
Transfers Out
Shares Outstanding	405,809			405,809
F-ITE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
F-ITE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	72,324			41,020
Shares Issued During the Period	81,232			112,355
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period	718			899
Transfers In
Transfers Out
Shares Outstanding	154,274			154,274
F-JTE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
F-JTE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	708,472			578,956
Shares Issued During the Period	33,609			160,929
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period	7,062			9,258
Transfers In
Transfers Out
Shares Outstanding	749,143			749,143
STE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
STE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	110			110
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding	110			110
DTE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
DTE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	110			110
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding	110			110
ITE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
ITE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	110			110
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding	110			110
JTE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding
JTE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	110			110
Shares Issued During the Period	86,343			86,343
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding	86,453			86,453
ETE Shares [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding		80
Shares Issued During the Period			80
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period
Transfers In
Transfers Out
Shares Outstanding		80	80
ETE Shares [Member] \| ISQ Open Infrastructure Company LLC Series I [Member]
Schedule of Summary of the Shares Issued and Redeemed During the Period [Line Items]
Shares Outstanding	80			80
Shares Issued During the Period
Shares Redeemed During the Period
Shares Reinvested under DRIP During the Period	1			1
Transfers In
Transfers Out
Shares Outstanding	81			81