Earlier quoted context omitted.
UK wise there's about 10,000 positive cases a day from 250,000 PCR tests E.g. 01-10-2020: 255,915 PCR tests processed, 11,988 cases dated then Obviously the testing cockup hasn't helped, but we're still on the order of 4% of tests coming back positive Scotland specifically hasn't had the cockup, Oct 1st was 762 cases (668 reported) from 14,316 cases, or about 5%.
See here: https://www.gov.scot/publications/coronavirus-covid-19-daily... 697 new cases of COVID-19 reported; this is 12.8% of newly tested individuals. Are some people tested multiple times and not a their tests come back positive?
"The number of people newly tested refers to the number of individuals in Scotland who have been tested for the first time for COVID-19 on the previous day. Note that each person is only counted once regardless of repeat tests. This means that where someone tests positive after receiving a negative test result on a previous day, they would be counted in the new positive cases for that day but in the number of people newly tested on the day they first received a test result."
So if I were tested in August as I had a cough, and it came back negative, but now I have a temperature, and test positive, I wouldn't count as a newly tested person.
The 697 new cases would include my number, but the 5445 newly tested people wouldn't.
It's very possible for new cases to outnumber newly tested people, so dividing one number by another makes no sense at all.
It's concerning that the Scotish government are linking these two numbers.