For the US it's estimated to be about 23% of the population that have a mental illness, and WHO says 12-15% globally or about 1 in 8 people. About 14% of the global population experience suicidal ideation at some point in time. That rate increases for adolescents and young adults, up to 22%.
I'd be interested in such a study, but OTOH mental illness conditions being present in nearly a quarter of the world, I'm surprised there haven't been more incidents like this (unless there have been, and they just haven't been reported by the news).
If the estimate is 1/5 people are mentally ill, the definition needs some readjustment. That is such an inclusive number that it must be counting otherwise fine people who....like to count their tic tacs so get labelled as slightly OCD. Had a bummer of a day, so I am prone to depression?
There was a recent study about 99% of people have an abnormal shoulder: https://news.ycombinator.com/item?id=47064944 . We are all unique in our own way, but labeling everyone as ill does not seem productive.