I'm here to help you record the purchase and ensure the VAT is recovered.
You can create an expense (or a bill or a cheque, depending on how it happened) transaction for DHL and record the amount of £374. Regarding the VAT code, you can select a code regarding what the purchase is and how it should be reflected on your VAT return (based on the VAT laws).
To record the purchase:
Click the + New icon, then select either Expense, Cheque or Bill.
Add DHL as the vendor under the Payee drop-down menu (you can still create a new profile for them by selecting the Add new button).
Under the Category details section, enter the details of the purchase.
On the VAT column, select the correct VAT code.
Enter other information regarding the purchase.
Click Save and close.
For a guide and reference about the VAT codes on purchases, you can check this article: Common VAT codes.
You can also check with HMRC and ask them about how to handle the EU purchase on VAT.
I'm still here if you have other questions about recording transactions with VAT. If you're looking for guides about other things in QuickBooks, please let me know and I'll help you out.
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