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Equity - Narrative (Details)
$ / shares in Units, $ in Thousands
 1 Months Ended 3 Months Ended 5 Months Ended 6 Months Ended 11 Months Ended 12 Months Ended
Jun. 01, 2023
USD ($)
Oct. 28, 2022
USD ($)
Jun. 08, 2021
vote
$ / shares
shares
Oct. 31, 2021
USD ($)
$ / shares
Year
shares
Sep. 30, 2023
USD ($)
equityIncentivePlan
$ / shares
shares
Sep. 30, 2022
USD ($)
Sep. 30, 2022
USD ($)
shares
Sep. 30, 2023
USD ($)
equityIncentivePlan
$ / shares
shares
Sep. 30, 2022
USD ($)
shares
Sep. 30, 2023
USD ($)
equityIncentivePlan
$ / shares
shares
Mar. 31, 2018
shares
Mar. 31, 2023
$ / shares
shares
May 12, 2022
USD ($)
Jun. 30, 2021
$ / shares
shares
Mar. 31, 2017
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Preferred stock, authorized (in shares)         100,000,000     100,000,000   100,000,000   100,000,000   100,000,000  
Preferred stock, par value (in dollars per share) | $ / shares         $ 0.001     $ 0.001   $ 0.001   $ 0.001   $ 0.001  
Preferred stock, issued (in shares)         0     0   0   0      
Preferred stock, outstanding (in shares)         0     0   0   0      
Common stock, authorized (in shares)         1,500,000,000     1,500,000,000   1,500,000,000   1,500,000,000      
Common stock, par value (in dollars per share) | $ / shares         $ 0.001     $ 0.001   $ 0.001   $ 0.001      
Common stock, outstanding (in shares)         188,518,000     188,518,000   188,518,000   193,941,000      
Stock repurchase program, authorized amount | $ $ 200,000 $ 70,000                     $ 70,000    
Stock repurchase program, period in force 24 months 12 months                          
Repurchase and retirement of common stock (in shares)             2,150,982     8,723,200          
Repurchase and retirement of common stock | $         $ 170,363 $ 61,168 $ 70,000 $ 191,468 $ 70,042 $ 207,500          
Stock repurchase program, remaining authorized repurchase amount | $         63,700     63,700   63,700          
Repurchase and retirement of common stock, commissions and excise taxes | $         $ 1,200     $ 1,200   $ 1,200          
Number of shares called by warrants         641,000     641,000   641,000          
Stock based compensation expense | $         $ 13,447 $ 11,353   $ 27,448 20,859            
Number of equity incentive plans | equityIncentivePlan         3     3   3          
Options outstanding in period (in shares)         19,319,000     19,319,000   19,319,000   22,407,000      
Aggregate intrinsic value of options | $               $ 61,800 60,200            
Unamortized compensation expense, option | $         $ 27,600     $ 27,600   $ 27,600          
Stock options                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Unamortized compensation expense, weighted average period of recognition               2 years 9 months 7 days              
Award vesting period               4 years              
Expiration period from the date of grant               10 years              
Restricted Stock Units (RSUs)                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Unamortized stock-based compensation expense excluding option | $         54,300     $ 54,300   54,300          
Unamortized compensation expense, weighted average period of recognition               2 years 11 months 26 days              
Award vesting period               4 years              
Total fair value of non-option instrument | $               $ 11,300 3,300            
Performance-Based Restricted Stock Units                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Unamortized stock-based compensation expense excluding option | $         $ 1,900     $ 1,900   $ 1,900          
Unamortized compensation expense, weighted average period of recognition               1 year 6 months 14 days              
Total fair value of non-option instrument | $               $ 1,800 $ 400            
Approved by Board of Directors, Outside of Plans                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Options granted in period (in shares)                     4,682,582        
Options exercised (in shares)         2,027,917     2,027,917   2,027,917          
Options outstanding in period (in shares)         2,654,665     2,654,665   2,654,665          
Contract With U.S. News & World Report, L.P.                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Number of shares called by warrants                             250,000
Exercise price called by warrants (in dollars per share) | $ / shares                             $ 0.72
Warrant outstanding, term                             10 years
Warrants exercised in period (in shares)               0 125,000            
Warrants exercised in period , intrinsic value | $                 $ 4,000            
Warrant outstanding (in shares)         125,000     125,000   125,000          
U.S. News Warrant                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Number of shares called by warrants       516,000                      
Exercise price called by warrants (in dollars per share) | $ / shares       $ 12.56                      
Warrant outstanding, term       10 years                      
Warrants outstanding, vesting period       6 years 5 months 23 days                      
Fair value of warrant | $       $ 34,700                      
Stock based compensation expense | $               $ 2,700 $ 2,700            
Unamortized stock-based compensation expense excluding option | $         $ 24,100     $ 24,100   $ 24,100          
Unamortized compensation expense, weighted average period of recognition               4 years 6 months              
U.S. News Warrant | Share-Based Payment Arrangement, Subsequent to Tranche One                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrants outstanding, vesting period       6 years                      
U.S. News Warrant | Measurement Input, Share Price                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrant, measurement input | $ / shares       76.50                      
U.S. News Warrant | Measurement Input, Price Volatility                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrant, measurement input       0.469                      
U.S. News Warrant | Measurement Input, Risk Free Interest Rate                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrant, measurement input       0.0161                      
U.S. News Warrant | Measurement Input, Expected Term                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrant, measurement input | Year       10                      
U.S. News Warrant | Measurement Input, Expected Dividend Rate                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Warrant, measurement input       0                      
Class A and Class B Common Stock                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Conversion of stock (in shares)     85,523,836                        
Common Class A                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Common stock, authorized (in shares)     1,000,000,000                        
Common stock, par value (in dollars per share) | $ / shares     $ 0.001                        
Common stock, number of votes per share | vote     1                        
Common stock, outstanding (in shares)         120,768,274     120,768,274   120,768,274          
Common Class B                              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                              
Common stock, authorized (in shares)     500,000,000                        
Common stock, par value (in dollars per share) | $ / shares     $ 0.001                        
Common stock, number of votes per share | vote     10                        
Conversion of stock, conversion ratio     1                        
Common stock, outstanding (in shares)         67,750,282     67,750,282   67,750,282