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GOODWILL AND OTHER INTANGIBLES - Schedule of Intangible Assets (Details) - USD ($) $ in Thousands | Feb. 28, 2025 | Aug. 31, 2024
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 247,322 | $ 247,970
Accumulated Amortization | 83,972 | 70,782
Net | 163,350 | 177,188
Developed technologies |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 152,576 | 152,659
Accumulated Amortization | 51,795 | 43,540
Net | 100,781 | 109,119
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 74,524 | 75,000
Accumulated Amortization | 20,188 | 16,118
Net | 54,336 | 58,882
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 8,094 | 7,970
Accumulated Amortization | 7,108 | 6,595
Net | 986 | 1,375
Perpetual lease rights |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 6,142 | 6,404
Accumulated Amortization | 1,044 | 1,049
Net | 5,098 | 5,355
Other |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 5,986 | 5,937
Accumulated Amortization | 3,837 | 3,480
Net | $ 2,149 | $ 2,457

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