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Notes Payable, Net - Additional Information (Detail) - USD ($)
$ / shares in Units, shares in Millions
1 Months Ended 12 Months Ended
Apr. 30, 2021
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Debt Instrument [Line Items]        
Debt instrument amount outstanding   $ 915,525,000 $ 833,993,000  
Debt issuance costs   8,597,000 $ 3,623,000  
Loss on extinguishment of debt   5,800,000    
Other Term Loan Due September 2022        
Debt Instrument [Line Items]        
Senior term debt   400,000    
Other Term Loan Due January 2022 to April 2026        
Debt Instrument [Line Items]        
Unsecured debt   1,700,000    
2026 Term Loan        
Debt Instrument [Line Items]        
Senior term debt   $ 291,900,000    
Debt instrument, maturity month and year   2026-08    
Periodic Principal Payment   $ 3,650,000    
Balloon payment   $ 222,600,000    
Swap agreement interest rate   50.00%    
Fixed interest rate   3.19%    
Debt instrument amount outstanding   $ 291,900,000    
2026 Term Loan | LIBOR        
Debt Instrument [Line Items]        
Debt instrument, percentage points added to the reference rate   1.50%    
2027 Term Loan        
Debt Instrument [Line Items]        
Senior term debt   $ 200,000,000.0    
Debt instrument, maturity month and year   2027-08    
Periodic Principal Payment   $ 1,750,000    
Balloon payment   $ 158,000,000.0    
Swap agreement interest rate   50.00%    
Fixed interest rate   4.62%    
Debt instrument amount outstanding   $ 200,000,000.0    
2027 Term Loan | LIBOR        
Debt Instrument [Line Items]        
Debt instrument, percentage points added to the reference rate   1.625%    
2.875% Convertible senior notes, due 2028        
Debt Instrument [Line Items]        
Proceeds from convertible senior notes $ 373,800,000      
Debt instrument, interest rate 2.875% 2.875%    
Description of long term debt   These interest payments are payable semiannually in arrears on April 15 and October 15, commencing October 15, 2021.     
Frequency of payments   semiannually    
Debt instrument, maturity date   Apr. 15, 2028    
Convertible notes initial conversion rate, shares per $1,000 principal amount   0.180317    
Debt instrument, convertible, principal amount   $ 1,000    
Convertible notes conversion rate, per share   $ 55.46    
Initial debt discount   $ 73,600,000    
Debt issuance costs   $ 12,000,000.0    
Number of shares reserved for future issuance   8.8    
2.875% Convertible senior notes, due 2028 | Redemption on or After April 15, 2025        
Debt Instrument [Line Items]        
Debt instrument, convertible, latest date   Jan. 15, 2028    
Debt instrument redemption start date   Apr. 15, 2025    
Debt instrument redemption end date   Apr. 15, 2028    
Debt instrument, convertible, threshold percentage of stock price trigger   130.00%    
Debt instrument redemption description   Additionally, the Company may elect to call the notes on or after April 15, 2025 and on or before the 40th trading day prior to April 15, 2028, at a cash redemption price described in the 2028 Notes Indenture if the stock price exceeds 130% of the conversion price during certain trading days as defined in the 2028 Notes Indenture.     
2.875% Convertible senior notes, due 2028 | ASC 470-20        
Debt Instrument [Line Items]        
Proceeds from convertible senior notes   $ 373,800,000    
Convertible notes, fair value   300,200,000    
Convertible notes, equity component   73,600,000    
2.875% Convertible senior notes, due 2028 | ASC 470-20 | Additional Paid-in Capital        
Debt Instrument [Line Items]        
Convertible Senior Notes, equity component, net of tax   $ 17,300,000    
2.875% Convertible senior notes, due 2028 | ASC 470-20 | Measurement Input, Risk Free Interest Rate        
Debt Instrument [Line Items]        
Fair value assumed, interest rate   0.0575    
2.875% Convertible senior notes, due 2024        
Debt Instrument [Line Items]        
Debt instrument, interest rate   2.875% 2.875% 2.875%
Description of long term debt   Convertible senior notes, due 2024, bear interest at a fixed rate of 2.875%, paid semi-annually in arrears on February 1st and August 1st.    
Frequency of payments   semi-annually    
Debt instrument, maturity date   Feb. 01, 2024    
Convertible notes initial conversion rate, shares per $1,000 principal amount   0.166234    
Debt instrument, convertible, principal amount   $ 1,000    
Convertible notes conversion rate, per share   $ 60.16    
Initial debt discount   $ 33,100,000    
Debt issuance costs   $ 8,000,000.0    
Number of shares reserved for future issuance   1.0    
Convertible debt retired   $ 227,300,000    
2.875% Convertible senior notes, due 2024 | ASC 470-20        
Debt Instrument [Line Items]        
Proceeds from convertible senior notes   275,000,000    
Convertible notes, fair value   241,900,000    
Convertible notes, equity component   $ 2,600,000 $ 33,100,000  
2.875% Convertible senior notes, due 2024 | ASC 470-20 | Measurement Input, Risk Free Interest Rate        
Debt Instrument [Line Items]        
Fair value assumed, interest rate   0.05    
2.25% Convertible senior notes, due 2024        
Debt Instrument [Line Items]        
Debt instrument, interest rate   2.25% 2.25% 2.25%