Income Taxes (Details) - USD ($) $ in Millions |
3 Months Ended | 9 Months Ended | |||
|---|---|---|---|---|---|
May 31, 2021 |
May 31, 2020 |
May 31, 2021 |
May 31, 2020 |
Aug. 31, 2020 |
|
| Income Tax Disclosure [Abstract] | |||||
| Effective Income Tax Rate Reconciliation, Percent | (6.80%) | (38.40%) | (3.40%) | (4.80%) | |
| Unrecognized Tax Benefits that Would Impact Effective Tax Rate | $ 136.1 | $ 136.1 | $ 111.3 | ||