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Stock-based Compensation - Profits Interests Transactions and Number of Units Outstanding (Details)
$ / shares in Units, $ in Millions
 12 Months Ended
Jun. 30, 2023
USD ($)
$ / shares
shares
Time-based unit awards  
Number of units  
Unvested balance, beginning (in shares) | shares 2,158,072
Granted (in shares) | shares 0
Forfeited (in shares) | shares (49,654)
Vested (in shares) | shares (844,081)
Unvested balance, ending (in shares) | shares 1,264,337
Weighted average grant date fair value  
Unvested balance, beginning (in dollars per share) | $ / shares $ 1.28
Granted (in dollars per share) | $ / shares 0
Forfeited (in dollars per share) | $ / shares 1.28
Vested (in dollars per share) | $ / shares 1.28
Unvested balance, ending (in dollars per share) | $ / shares $ 1.28
Unrecognized compensation cost | $ $ 0.9
Weighted-average period (in years) 1 year 9 months 18 days
Performance-based unit awards  
Number of units  
Unvested balance, beginning (in shares) | shares 2,217,865
Granted (in shares) | shares 0
Forfeited (in shares) | shares (99,307)
Vested (in shares) | shares 0
Unvested balance, ending (in shares) | shares 2,118,558
Weighted average grant date fair value  
Unvested balance, beginning (in dollars per share) | $ / shares $ 0.57
Granted (in dollars per share) | $ / shares 0
Forfeited (in dollars per share) | $ / shares 0.57
Vested (in dollars per share) | $ / shares 0
Unvested balance, ending (in dollars per share) | $ / shares $ 0.57
Unrecognized compensation cost | $ $ 1.2
Profits interests units  
Weighted average grant date fair value  
Unrecognized compensation cost | $ $ 2.1