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Epidemiologists advising the NHS say that about 56% of the UK population - equating to about 80% of smartphone owners - need to use the app in order to suppress the virus.
However, they add that the spread of the disease could still be slowed even if the take-up is lower.
https://www.bbc.co.uk/news/health-52521526
(edit: shared for the simpler math more than anything, but I do think 80% isn't entirely beyond possibility, and I think the point about it not being a zero-sum game is important)
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Smartphone usage was 78% in 2018 (Source Ofcom: https://www.ofcom.org.uk/about-ofcom/latest/features-and-news/decade-of-digital-dependency) so we only* need ~46% of the population to run an app that may or may not spy on you or make your battery last half the day.
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six sevenths (fuck that maths)
Lucky for you, sevenths are easy. Simply memorise "142857" and rotate the digits as necessary to achieve the correct fraction. 6/7 is therefore 0.857142... with the 6 digits after the point repeating.
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jellybaby
frankenbike
@mashton
It's being reported that the smartphone app would need 60% of population to be using it to work.
So that's six sevenths (fuck that maths) of all smartphone owners using it. Yarp.