Here's some Eurostat data. Not relative to population size, but Sweden is by far the smaller of these countries.

In 2013, the highest number of persons granted protection status was registered in Sweden (26 400), followed by Germany (26 100), France (16 200), Italy (14 500) and the United Kingdom (13 400). All together, these five Member States accounted for more than 70% of all those granted protection status in the EU28.