Have you seen the rate of new infections in e.g. Singapore?
And BTW there's no way 10-15% of us are infected. Sure it's many times more than the 65,000 registered cases. But not 100x to 150x more.
Let's do some guestimation...
The iceland study, when reported in the UK had tested 22,195 people, roughly 6% of the population of whom 1,364 had tested +ve and 50% of whom were asymptomatic and of those tested 4 had died.
Now 1,364 is the figure for people who currently have the virus as most people this would mean a multiplier of 341 from deaths...
BUT people only test positive for around 2 weeks.
Also assuming a case multiplier of 3 over a 2 week period and that the virus had only been in the country over an 8 week period the multiplier would be 505
(341 + 341/3 + 341/9 + 341/27)
So my guess is that around 4,028,890 people in the UK have had the virus. 7,978 (deaths) * 505 (multiplier). Or 6% of the population.
Double this figure if you only test positive for 7 days or if the very simplistic case multiplier is more than 3. I should work this out using a log function, but I'm two tired to be bothered.