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Description of the Company and Basis of Presentation (Details)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 12 Months Ended
Feb. 11, 2021
shares
Dec. 04, 2020
shares
Oct. 29, 2018
segment
Sep. 30, 2021
segment
$ / shares
Sep. 30, 2021
USD ($)
segment
$ / shares
Sep. 30, 2020
USD ($)
$ / shares
Sep. 30, 2019
USD ($)
Subsidiary, Sale of Stock [Line Items]              
Common Stock, Par or Stated Value Per Share | $ / shares       $ 0.01 $ 0.01 $ 0.01  
Number of reportable segments | segment     3 2 2    
Net Cash Provided by (Used in) Operating Activities         $ 178,705 $ 177,026 $ 125,196
Net Cash Provided by (Used in) Financing Activities         130,344 $ 108,117 $ (5,744)
Classification Error | Additional Paid‑in Capital              
Subsidiary, Sale of Stock [Line Items]              
Adjustments to Additional Paid in Capital, Income Tax Deficiency from Share-based Compensation         18,669    
Classification Error | Accumulated 
Other Comprehensive (Loss) Income              
Subsidiary, Sale of Stock [Line Items]              
Adjustments to Additional Paid in Capital, Income Tax Deficiency from Share-based Compensation         18,669    
Understatement | Revision of Prior Period, Error Correction, Adjustment              
Subsidiary, Sale of Stock [Line Items]              
Net Cash Provided by (Used in) Operating Activities         18,669    
Overstatement | Revision of Prior Period, Error Correction, Adjustment              
Subsidiary, Sale of Stock [Line Items]              
Net Cash Provided by (Used in) Financing Activities         $ 18,669    
Additional Secondary Public Offering [Member]              
Subsidiary, Sale of Stock [Line Items]              
Number of shares issued in transaction | shares 16,383 12,000