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Stock-based Compensation - Monte Carlo Option Pricing Model (Details) - $ / shares
12 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2021
Profits interests units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expected volatility     44.00%
Expected life (years) - time vesting units     1 year 9 months 18 days
Interest rate     0.16%
Dividend yield 0.00%   0.00%
Weighted-average fair values (in dollars per share)     $ 1.28
Fair value of underlying stock (in dollars per share)     $ 5.49
Restricted stock units - performance based      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expected volatility   34.50%  
Expected life (years) - time vesting units   5 years  
Interest rate   1.56%  
Dividend yield   0.00%  
Weighted-average fair values (in dollars per share)   $ 5.18  
Fair value of underlying stock (in dollars per share)   $ 7.89  
Stock options - time based      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expected volatility 34.50%    
Expected life (years) - time vesting units 2 years 10 months 24 days    
Interest rate 1.56%    
Dividend yield 0.00%    
Weighted-average fair values (in dollars per share) $ 0.80    
Fair value of underlying stock (in dollars per share) $ 3.70