Our problem is running the tests, only have so much daily capacity at the hygenic lab
Yes, that's the problem everywhere. The US has run under 8 million tests (almost twice as many as Russia - the next closest, country for which I've seen test counts) - and many people who get tested are tested multiple times. Regardless, at best under 3% of the US population have undergone testing.
Which, as you know, proves MechAg94's point. If you don't know the denominator, you don't know the rate.