How to set up VAT for EU and non EU countries changing the display price.

We are an EU B2C store based in Spain and in our store we need to add and display prices including 21% VAT for all UE countries.

This is easy as i set the VAT rule for all countries in the EU and then select the "include in price option".

However, for non EU countries, such as United Kingdom, we need to display prices without VAT, as we as business dont need to charge this tax for non EU countries. 

The problem is that i cannot configure this for EU countires and Non EU countries at the same time.

Example: if item is $25 inc VAT then EU visitors should see in the product pirce dispay $25 VAT included.  But when an UK vistior see the product, they should see the product price without the VAT, in this example: $20.6. As the final client will pay this after shipping.

How can i set up this correctly?

Thank you!

I'm almost with the same situation. But i display prices without VAT and add VAT to EU countries. But if the buyer is EU VAT registered, it should be excluded from the purchasing price. How can we do that automatically?