Slovakia Tests Entire Population for Covid-19

Apparently here in Germany the authorities believe that they detect about 50% of the infections...

AIUI the tests the Slovakians are going to use will discover 95% of the infections, and have lots of false positives, so if they've been roughtly as good as the Germans until now, they'll discover at least 25k unknown covid carriers (assuming 27k known infections in the past week) and will have almost 100k false positives, and will leave a few hundred carriers to roam the streets. Is that roughly correct?