Statement Of Changes In Equity [Abstract]
| Concept | As at 2024-08-31 | 2023-09-01 to 2024-08-31 | 2023-09-01 to 2024-08-31 | 2023-09-01 to 2024-08-31 | 2023-09-01 to 2024-08-31 | 2023-09-01 to 2024-08-31 | As at 2024-08-31 | As at 2024-08-31 | As at 2024-08-31 | As at 2024-08-31 | As at 2024-08-31 | 2023-09-01 to 2024-08-31 | As at 2024-08-31 | As at 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | As at 2023-08-31 | As at 2023-08-31 | As at 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | As at 2023-08-31 | As at 2023-08-31 | As at 2023-08-31 | As at 2022-08-31 | As at 2022-08-31 | As at 2022-08-31 | As at 2022-08-31 | As at 2022-08-31 | As at 2022-08-31 | As at 2022-08-31 | 
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Statement of changes in equity [abstract] | |||||||||||||||||||||||||||||||||
| Statement of changes in equity [line items] | |||||||||||||||||||||||||||||||||
| Equity | 
                                                15 353
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | 
                                                6 111
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                28 706
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                9 736
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                65 333
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                93 545
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | 
                                                99 656
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                79 899
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | 
                                                20 071
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                4 689
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                72 813
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | 
                                                49 164
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                7 086
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                15 353
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                4 112
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                3 167
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                33 741
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                17 346
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                59 161
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                63 274
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                15 353
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
| Changes in equity [abstract] | |||||||||||||||||||||||||||||||||
| Comprehensive income [abstract] | |||||||||||||||||||||||||||||||||
| Profit (loss) | — | 
                                                28 706
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                28 706
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | 
                                                29 681
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | 
                                                975,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | 
                                                721,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                20 071
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                19 350
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | 
                                                20 071
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | — | — | — | 
| Dividends recognised as distributions to owners | — | 
                                                4 484
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | 
                                                4 484
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                4 484
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | 
                                                4 480
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                4 480
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | 
                                                4 480
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | — | 
| Increase (decrease) through treasury share transactions, equity | — | 
                                                4 832
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | 
                                                5 048
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                4 832
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                216,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | 
                                                2 212
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                2 212
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | 
                                                1 522
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                690,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | — | 
| Increase (decrease) through share-based payment transactions, equity | — | 
                                                369,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | 
                                                369,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                369,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | 
                                                991,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                991,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | 
                                                991,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | — | — | — | — | — | — | — | — | — |