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Note 4 - Land Purchases and Sales - Land Purchase (Details) - Land Located in Jefferson Davis Parish, Louisiana [Member]	3 Months Ended
	Jun. 30, 2022 USD ($) a	Sep. 30, 2021 USD ($) a
Acres (Acre) | a	1.81	10.84
Land purchase, ownership	16.67%	16.67%
Land purchase | $	$ 564	$ 4,063
Mineral Rights, Percent	0.00%	0.00%

X

- Definition

Represents the ownership percentage of land acquired during the period.

+ References

No definition available.

+ Details

Name:	ckx_LandAcquiredDuringPeriodOwnershipPercentage
Namespace Prefix:	ckx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The conveyed percentage of mineral rights, or rights to extract a mineral from the earth or to receive payment in the form of a royalty for the extraction of minerals, net of amortization.

+ References

No definition available.

+ Details

Name:	ckx_MineralRightsConveyedPercentage
Namespace Prefix:	ckx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Area of land held.

+ References

No definition available.

+ Details

Name:	us-gaap_AreaOfLand
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Amount of acquisition of long-lived, physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment.

+ References

No definition available.

+ Details

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

X

- Details

Name:	srt_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis=ckx_LandLocatedInJeffersonDavisParishLouisianaMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: