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Business Segments and Foreign Operations - Summary Information by Reportable Segments (Details)
$ in Thousands
 3 Months Ended 9 Months Ended
May 31, 2024
USD ($)
May 31, 2023
USD ($)
May 31, 2024
USD ($)
segment
May 31, 2023
USD ($)
Segment Reporting Information [Line Items]        
Number of reportable segments | segment     3  
Net sales $ 155,045 $ 141,717 $ 434,566 $ 396,803
Income from operations 27,176 25,657 72,301 66,489
Depreciation and amortization expense 2,503 2,075 7,186 5,939
Interest income 136 69 276 164
Interest expense 1,182 1,597 3,336 4,268
Unallocated Corporate        
Segment Reporting Information [Line Items]        
Net sales 0 0 0 0
Income from operations (11,661) (8,527) (34,068) (27,485)
Depreciation and amortization expense 66 76 217 227
Interest income 0 0 0 0
Interest expense 0 0 0 0
Americas        
Segment Reporting Information [Line Items]        
Net sales 75,103 71,130 202,685 192,034
Americas | Operating Segments        
Segment Reporting Information [Line Items]        
Net sales 75,103 71,130 202,685 192,034
Income from operations 18,382 16,906 45,798 43,390
Depreciation and amortization expense 1,201 911 3,396 2,658
Interest income 3 0 3 4
Interest expense 807 1,079 1,872 3,056
EIMEA        
Segment Reporting Information [Line Items]        
Net sales 59,399 52,524 162,466 140,105
EIMEA | Operating Segments        
Segment Reporting Information [Line Items]        
Net sales 59,399 52,524 162,466 140,105
Income from operations 13,705 11,966 35,307 28,632
Depreciation and amortization expense 1,180 1,035 3,404 2,905
Interest income 100 40 182 75
Interest expense 373 516 1,459 1,208
Asia-Pacific        
Segment Reporting Information [Line Items]        
Net sales 20,543 18,063 69,415 64,664
Asia-Pacific | Operating Segments        
Segment Reporting Information [Line Items]        
Net sales 20,543 18,063 69,415 64,664
Income from operations 6,750 5,312 25,264 21,952
Depreciation and amortization expense 56 53 169 149
Interest income 33 29 91 85
Interest expense $ 2 $ 2 $ 5 $ 4