Well, there are also various other possibilities.
It could, e.g., be that they considered the ~160€ price (including taxes) as the gross price and added the taxes on top of that.
It could also be that they did not have further information about the price at all and "estimated" the price, which will usually be done in a way that they prefer overestimating the price rather than underestimating it.
It could also be that this includes customs fees, which is not the same as VAT etc.
Or a mixture of all the above or even something completely different.

Anyway, time will tell and I'll keep my fingers crossed.