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Employee Benefit Plans (Details) - USD ($)
12 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2023
Nov. 06, 2019
Defined Benefit Plan Disclosure [Line Items]        
Defined Contribution Plan, Employer Matching Contribution, Percent of Match 100.00%      
Contributes percentage 6.00%      
Matching and discretionary contributions expense $ 21,900,000 $ 19,700,000 $ 17,900,000  
Authorized amount $ 25,000      
Number of ESPP issuable       500,000
Market price 90.00%      
Brokerage commissions and administrative fees, percentage 10.00%      
Total share issued 17,148 19,666 18,463  
Nonqualified Deferred Compensation Plan        
Defined Benefit Plan Disclosure [Line Items]        
Contributes percentage 6.00%      
Deferred Compensation Plan, Maximum Percentage of Deferment of Participant's Salary 50.00%      
Deferred Compensation Plan, Maximum percentage of participant's Bonus or Board Fee 100.00%      
Deferred Compensation Plan Assets $ 12,800,000 $ 13,200,000    
Investment, Type [Extensible Enumeration] atge:InvestmentInRabbiTrustMember atge:InvestmentInRabbiTrustMember    
Accrued Liabilities [Member] | Nonqualified Deferred Compensation Plan        
Defined Benefit Plan Disclosure [Line Items]        
Deferred Compensation Liability, Current $ 13,500,000 $ 12,200,000