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Business Acquisitions - Narrative (Details)
3 Months Ended 4 Months Ended 9 Months Ended
Jun. 08, 2023
USD ($)
Mar. 30, 2023
location
Mar. 20, 2023
shares
Apr. 01, 2022
USD ($)
shares
Mar. 31, 2022
USD ($)
$ / shares
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2022
USD ($)
Sep. 30, 2023
USD ($)
Sep. 30, 2023
USD ($)
segment
shares
Sep. 30, 2022
USD ($)
Dec. 31, 2022
USD ($)
Business Acquisition [Line Items]                      
Principal operating segment | segment                 3    
Expected tax deductible goodwill amount                     $ 53,600,000
Proceeds from employees for share purchases                 $ 3,253,000 $ 0  
Lawson                      
Business Acquisition [Line Items]                      
Number of shares authorized (in shares) | shares       18,240,334              
Expected tax deductible goodwill amount                     $ 0
Total consideration exchanged       $ 353,401,000              
DSG common stock closing price on March 31, 2022 (in USD per share) | $ / shares         $ 19.27            
Hisco                      
Business Acquisition [Line Items]                      
Expected tax deductible goodwill amount           $ 42,900,000   $ 42,900,000 $ 42,900,000    
Number of locations | location   38                  
Total consideration exchanged               268,500,000      
Cash acquired from acquisition               12,200,000      
Cash exchanged for equity related to retention bonuses $ 37,500,000                    
Stock issued (in shares) | shares           144,608     144,608    
Compensation expense           $ 400,000     $ 400,000    
Common stock, value, subscription price 22.50                    
Maximum stock employees can purchase $ 25,000,000                    
Decrease in goodwill           700,000   700,000 700,000    
Total purchase consideration exchanged, net of cash acquired           2,000,000   $ 2,000,000 2,000,000    
Proceeds from employees for share purchases           $ 3,250,000     $ 3,250,000    
Hisco | Trade names                      
Business Acquisition [Line Items]                      
Useful life (in years)           8 years   8 years 8 years    
Hisco | Customer relationships                      
Business Acquisition [Line Items]                      
Useful life (in years)           12 years   12 years 12 years    
Hisco | Selling, General and Administrative Expenses                      
Business Acquisition [Line Items]                      
Compensation expense           $ 10,100,000     $ 12,400,000    
Frontier                      
Business Acquisition [Line Items]                      
Total consideration exchanged         $ 25,674,000            
Potential earn-out payment         $ 3,000,000            
Other Acquisitions                      
Business Acquisition [Line Items]                      
Merger transaction costs           $ (100,000) $ 2,400,000   $ 9,100,000 $ 10,800,000  
TestEquity And Gexpro Services Former Owners | Lawson                      
Business Acquisition [Line Items]                      
Number of shares authorized (in shares) | shares       20,600,000              
TestEquity And Gexpro | Lawson | Earnout Shares                      
Business Acquisition [Line Items]                      
Number of shares authorized (in shares) | shares     3,400,000