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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 |  |  |  |
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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 |  |  |  |  |

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