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Credit Agreements - Additional Information (Details)
1 Months Ended 12 Months Ended
Apr. 03, 2018
USD ($)
Feb. 29, 2020
USD ($)
May 31, 2018
USD ($)
Sep. 30, 2021
CNY (¥)
Sep. 30, 2020
USD ($)
Sep. 30, 2020
CNY (¥)
Sep. 30, 2021
USD ($)
Sep. 30, 2021
CNY (¥)
Sep. 30, 2020
CNY (¥)
Sep. 30, 2019
CNY (¥)
Debt Instrument [Line Items]                    
Debt, net         $ 817,900,000   $ 818,800,000      
Letters of credit outstanding             $ 17,200,000      
Long term debt                    
Debt issuance costs capitalized         1,800,000          
Uncommitted Line of Credit                    
Debt Instrument [Line Items]                    
Available borrowing capacity | ¥               ¥ 220,000,000.0 ¥ 220,000,000.0 ¥ 220,000,000.0
Short term debt                    
Line of credit outstanding       ¥ 0 $ 5,200,000 ¥ 35,000,000.0        
Line of credit variable interest rate         3.50%   3.50% 3.50% 3.50%  
Revolving Credit Facility                    
Debt Instrument [Line Items]                    
Line of credit facility, maximum borrowing capacity $ 850,000,000                  
Maturity month and year 2023-04                  
Available borrowing capacity             $ 832,800,000      
Letter of Credit                    
Debt Instrument [Line Items]                    
Letter of credit fees percentage on available borrowing capacity, low end of range (as a percent)       0.563%            
Letter of credit fees percentage on available borrowing capacity, high end of range (as a percent)       1.75%            
Senior Term Loan                    
Debt Instrument [Line Items]                    
Maturity month and year 2023-04                  
Debt, net $ 325,000,000       $ 224,700,000   $ 224,800,000      
Quarterly principal installment, at commencement 4,100,000                  
Payment due at maturity $ 264,100,000                  
Amount of balloon payment paid         $ 39,100,000          
Weighted-average interest rate (as a percent)             1.33% 1.33%    
Senior Credit Agreement                    
Debt Instrument [Line Items]                    
Interest spread in basis points (as a percent)       1.25%            
Maximum leverage ratio             3.75 3.75    
Minimum interest coverage ratio             2.50 2.50    
Senior Credit Agreement | Minimum                    
Debt Instrument [Line Items]                    
Revolving credit facility, unused commitment fee rate (as a percent)       0.125%            
Senior Credit Agreement | Maximum                    
Debt Instrument [Line Items]                    
Revolving credit facility, unused commitment fee rate (as a percent)       0.275%            
Senior Credit Agreement | Federal Funds Rate                    
Debt Instrument [Line Items]                    
Interest spread in basis points (as a percent)       0.50%            
Senior Credit Agreement | LIBOR                    
Debt Instrument [Line Items]                    
Interest spread in basis points (as a percent)       1.00%            
4.600% Senior Notes due May 2028                    
Debt Instrument [Line Items]                    
Maturity month and year       2028-05 2028-05 2028-05        
Debt, net         $ 297,000,000.0   $ 297,400,000      
Long term debt                    
Debt issued     $ 300,000,000.0              
Debt instrument interest rate, stated percentage     4.60%   4.60%   4.60% 4.60% 4.60%  
Maturity date     May 15, 2028              
Debt instruments                    
Debt instrument, fair value         $ 342,000,000   $ 344,000,000      
3.100% Senior Notes due March 2030                    
Debt Instrument [Line Items]                    
Maturity month and year       2030-03 2030-03 2030-03        
Debt, net         $ 296,200,000   $ 296,600,000      
Long term debt                    
Debt issued   $ 300,000,000.0                
Debt instrument interest rate, stated percentage   3.10%     3.10%   3.10% 3.10% 3.10%  
Maturity date   Mar. 01, 2030                
Debt instrument, redemption discount   $ 1,200,000                
Debt issuance costs capitalized   $ 2,900,000                
Debt instruments                    
Debt instrument, fair value         $ 316,000,000   $ 317,000,000      
3.100% Senior Notes due March 2030 | Interest Expense                    
Long term debt                    
Debt extinguishment expense         $ 8,500,000