Statement Of Changes In Equity [Abstract]
| Concept | 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 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 2022-09-01 to 2023-08-31 | 
|---|---|---|---|---|---|---|---|---|---|
| Statement of changes in equity [abstract] | |||||||||
| Statement of changes in equity [line items] | |||||||||
| Increase (decrease) through change in equity of subsidiaries, equity | — | — | — | — | 
                                                2 370
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | 
                                                2 370
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                2 370
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
| Increase (decrease) through acquisition of subsidiary, equity | — | — | — | — | 
                                                117,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — | 
                                                117,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                117,000
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
| Increase (decrease) through appropriation of retained earnings, equity | 
                                                20 071
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                20 071
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                0
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                17 346
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | 
                                                17 346
                                                
                                                    
                                                        EUR
                                                    
                                                
                                             | — |