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Credit Agreements - Additional Information (Details)
1 Months Ended 12 Months Ended
Feb. 26, 2020
USD ($)
Apr. 03, 2018
USD ($)
May 31, 2018
USD ($)
Mar. 31, 2015
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2020
CNY (¥)
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Sep. 30, 2019
CNY (¥)
Debt Instrument [Line Items]                  
Debt, net         $ 817,900,000   $ 819,000,000.0    
Letters of credit outstanding         59,900,000        
Long term debt                  
Debt issuance costs capitalized         1,800,000     $ 3,200,000  
Uncommitted Line of Credit                  
Debt Instrument [Line Items]                  
Available borrowing capacity | ¥                 ¥ 220,000,000.0
Short term debt                  
Line of credit outstanding         $ 5,200,000 ¥ 35,000,000.0      
Line of credit variable interest rate         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         $ 790,100,000        
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% 0.563%      
Letter of credit fees percentage on available borrowing capacity, high end of range (as a percent)         1.75% 1.75%      
Senior Term Loan                  
Debt Instrument [Line Items]                  
Maturity month and year   2023-04              
Debt, net   $ 325,000,000     $ 224,700,000   $ 274,400,000    
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)         1.40%        
Long term debt                  
Repayments of Debt     $ 49,200,000            
Senior Credit Agreement                  
Debt Instrument [Line Items]                  
Interest spread in basis points (as a percent)         1.25% 1.25%      
Maximum leverage ratio         3.75        
Minimum interest coverage ratio         2.50        
Senior Credit Agreement | Minimum                  
Debt Instrument [Line Items]                  
Revolving credit facility, unused commitment fee rate (as a percent)         0.125% 0.125%      
Senior Credit Agreement | Maximum                  
Debt Instrument [Line Items]                  
Revolving credit facility, unused commitment fee rate (as a percent)         0.275% 0.275%      
Senior Credit Agreement | Federal Funds Rate                  
Debt Instrument [Line Items]                  
Interest spread in basis points (as a percent)         0.50% 0.50%      
Senior Credit Agreement | LIBOR                  
Debt Instrument [Line Items]                  
Interest spread in basis points (as a percent)         1.00% 1.00%      
5.375% Senior Notes due March 2025                  
Debt Instrument [Line Items]                  
Maturity month and year             2025-03    
Debt, net             $ 248,000,000.0    
Long term debt                  
Debt issued       $ 250,000,000.0          
Debt instrument interest rate, stated percentage       5.375%     5.375%   5.375%
Maturity date       Mar. 01, 2025          
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   $ 296,600,000    
Long term debt                  
Debt issued     $ 300,000,000.0            
Debt instrument interest rate, stated percentage     4.60%   4.60%   4.60%   4.60%
Maturity date     May 15, 2028            
Debt instruments                  
Debt instrument, fair value         $ 342,000,000   $ 322,000,000    
3.100% Senior Notes due March 2030                  
Debt Instrument [Line Items]                  
Maturity month and year         2030-03 2030-03      
Debt, net         $ 296,200,000        
Long term debt                  
Debt issued $ 300,000,000.0                
Debt instrument interest rate, stated percentage 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        
3.100% Senior Notes due March 2030 | Interest Expense                  
Long term debt                  
Debt extinguishment expense         $ 8,500,000