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Revenue from Contracts with Customers - Schedule of Customer Deposits (Details) - USD ($) $ in Thousands | 3 Months Ended
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Aug. 31, 2024 | Aug. 31, 2023
Customer Deposits [Roll Forward] |  |
Balance, beginning of period | $ 15,367 | $ 36,370
Customer deposits received | 2,849 | 0
Customer deposits refunded | (1,549) | 0
Customer deposits applied | (2,991) | 0
Related Party |  |
Customer Deposits [Roll Forward] |  |
Less: Related party balances | 0 | (3,811)
Nonrelated Party |  |
Customer Deposits [Roll Forward] |  |
Balance, end of period | $ 13,676 | $ 32,559

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- Definition Contract with Customer, Liability, Customer Deposits + References No definition available. + Details
Name: | apld_ContractWithCustomerLiabilityCustomerDeposits
Namespace Prefix: | apld_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Contract with Customer, Liability, Customer Deposits Recognized + References No definition available. + Details
Name: | apld_ContractWithCustomerLiabilityCustomerDepositsRecognized
Namespace Prefix: | apld_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Contract with Customer, Liability, Customer Deposits, Refunded + References No definition available. + Details
Name: | apld_ContractWithCustomerLiabilityCustomerDepositsRefunded
Namespace Prefix: | apld_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Contract with Customer, Liability, Customer Deposits, Related Party Balances + References No definition available. + Details
Name: | apld_ContractWithCustomerLiabilityCustomerDepositsRelatedPartyBalances
Namespace Prefix: | apld_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Customer Deposits + References No definition available. + Details
Name: | apld_CustomerDepositsRollForward
Namespace Prefix: | apld_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Cash received from customers for deposits on goods or services during the period; excludes deposits with other institutions and time deposits, which pertain to financial services entities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 230 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 25 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482740/230-10-45-25 + Details
Name: | us-gaap_ProceedsFromDepositsFromCustomers
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_RelatedPartyMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_NonrelatedPartyMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |