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Equity-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		9 Months Ended
	Apr. 30, 2024	Apr. 30, 2023	Apr. 30, 2024	Apr. 30, 2023	Mar. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total equity-based compensation expense	$ 1.7	$ 1.7	$ 5.0	$ 4.7
RSU \| Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period			4 years
RSU \| Independent Directors
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period			1 year
2021 Equity Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available for future grants (in shares)					14,003,560
Unrecognized compensation expense of stock options	6.8		$ 6.8
Weighted-average grant-date fair value of options granted (in dollars per share)			$ 3.98
2021 Equity Incentive Plan \| Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period			4 years
Expiration period			10 years
Unrecognized compensation expense, period for recognition (in years)			2 years 9 months 18 days
2021 Equity Incentive Plan \| RSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation expense, period for recognition (in years)			2 years 7 months 6 days
Fair value of vested restricted shares			$ 2.5
Unrecognized compensation expense	$ 9.9		$ 9.9
2021 Equity Incentive Plan \| Performance-based Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	3 years
Unrecognized compensation expense, period for recognition (in years)			1 year 2 months 12 days
Unrecognized compensation expense	$ 1.0		$ 1.0