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Other Assets - Rollforward of Capitalized Maintenance Activity (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2024 | Aug. 31, 2023 | Aug. 31, 2022
Capitalized Maintenance Expense [Roll Forward] |  |  |
Balance at Beginning of Year | $ 289,377 | $ 147,521 | $ 196,641
Cost Deferred | 21,909 | 216,762 | 25,401
Amortization | (88,167) | (74,906) | (74,521)
Balance at End of Year | $ 223,119 | $ 289,377 | $ 147,521

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- Definition Capitalized Maintenance Expense, Amortization + References No definition available. + Details
Name: | chscp_CapitalizedMaintenanceExpenseAmortization
Namespace Prefix: | chscp_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Capitalized Maintenance Expense, Deferred During the Period + References No definition available. + Details
Name: | chscp_CapitalizedMaintenanceExpenseDeferredDuringPeriod
Namespace Prefix: | chscp_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Capitalized Maintenance Expense [Roll Forward] + References No definition available. + Details
Name: | chscp_CapitalizedMaintenanceExpenseRollForward
Namespace Prefix: | chscp_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Capitalized major maintenance + References No definition available. + Details
Name: | chscp_Capitalizedmajormaintenance
Namespace Prefix: | chscp_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant