If you live outside the EU, you can reclaim the VAT you pay on goods you purchase in Denmark. You will be reimbursed between 10% and 19%, which amounts to the VAT minus and administration fee and you can only claim on purchases that are over 300kr.
Refunds are only available for purchases made in shops which are part of the scheme. For more on the scheme and how to claim back VAT, visit the Planet website or the Global Blue Denmark website.