Hey, so I was wrong in saying the UK has 10x the homelessness rate of the US. I used a stat from the video that "approximately one in fifty Londoners are now homeless." That's London, not the UK. Thanks for catching that -- I will update my post.
But also, uh, you're wrong too! Your numerator for the UK figure is actually an estimate for homeless people in England, while your denominator includes the whole UK.
Homelessness is a housing issue first, a poverty issue second. See housing as a game or musical chairs. If you don't have enough, the one getting stuffed first are the slowests (in that case, the unemployed poor, then the working poor).
US population is around 340 000 000, 770 000 homeless.
UK population is around 68 000 000, 354 000 homeless. (Possibly calculated more inclusively.)
That's 0.23 % and 0.52 %.
(Numbers from https://en.wikipedia.org/wiki/Homelessness_in_the_United_Sta... and https://en.wikipedia.org/wiki/Homelessness_in_the_United_Kin... or more specifically from a govt department and a homelessness charity. The US figure "does not include those staying with friends or family because they do not have a place of their own".)