Share-Based Payments - Market-Based Awards (Details) - Market Based Awards $ / shares in Units, shares in Thousands, $ in Millions	12 Months Ended
	Sep. 30, 2022 USD ($) $ / shares shares
Share-Based Payments
Unvested at the beginning of the period (in shares) | shares	90
Granted (in shares) | shares	212
Forfeited (in shares) | shares	(48)
Unvested at the end of the period (in shares) | shares	254
Unvested at the beginning of the period (in dollars per share) | $ / shares	$ 20.96
Granted (in dollars per share) | $ / shares	23.39
Forfeited (in dollars per share) | $ / shares	22.41
Unvested at the end of the period (in dollars per share) | $ / shares	$ 22.72
Total unrecognized compensation expenses related to unvested awards | $	$ 3.6
Weighted average period for recognition of unvested awards	2 years