Based on the stats from https://ourworldindata.org/grapher/full-list-total-tests-for-covid-19?tab=table the US has performed 25% of all tests in the world, which is 8.3% of our total population.
Yes, based on data as of June 23 or last reported data, a few countries have tested a larger portion of their population and they are, ranked by percentage of population tested: Bahrain (28.5%), Luxembourg, Iceland, Denmark, Lithuania, Russia, Qatar, Portugal, Singapore, Belarus, Israel and Kuwait (8.4%). Together these countries have a total population of 198.4M and they administered 23.5M tests.
For European countries not listed above, and all mathematically ranked lower than the 8.3% for the US: Italy, Ireland, Estonia and Belgium have also tested 8% of their population. Spain tested 7%. UK, Germany and Switzerland tested 6%. And the rest are 5% down to 1% of their population.
-By percentage of population tested the US is ranked 13th, but has administered 25% of the tests reported worldwide.
-The top 13 countries ranked by percentage of population tested have a population of 529M and reported administering 51.0M tests, or 6.8% of the world’s population and 47% of all tests reported.
-China and all other countries out that have NOT reported administering any tests have a total population of 4.7B. This does not mean they have not tested, but they are not open about the number of tests.
-France is one of the countries NOT reporting administering any tests. So, can the rest of Europe trust France on July 1 when EU borders open?
-In the EU, only 7 countries tested a larger portion of their population than the US, 4 are slightly below the US, and 30 countries have tested 5% of less of their population. Can the EU really trust that the total number of people who have or had C-19 is really known in these other EU countries?
-The EU is strongly considering baring the US, Russia and Brazil, but US and RU have administered 42% of reported tests in the world. See point above about France and most of the EU.
-When considering the whole picture, as testing increased in the US, the number of reported cases increase, but as I posted elsewhere, it does not matter if a person had C-19 and is now well or has C-19 and is sick, if the test results indicate anti-bodies it counts as a case of C-19 for reporting purposes. And, by the method used to administer tests, those more likely or at highest risk of C-19 are a majority of the people being tested, but in the US the trend over the last month is that less than 12% of tests administered show a person had or has C-19. Until the rest of Europe and the world has tested 8%+ of their population, we cannot say that things are better everywhere else. We can only comment on how bad things appear here until 100% of our population has been tested.