The term "The West" is not to mean something geographical but rather countries that value the Western culture. That's why the US, Australia, New Zealand and even more notably Israel, Japan and South Korea are fitted into that category. Even though none of these countries are European they all follow along with western traditions or have been westernised in some way or another. If you look at maps of policy decision taking and such (there is even a community dedicated for this in Reddit and I think also here called /alwaysthesamemap) you will see how most of the time "The International Community" is the set of Europe plus the aforementioned countries.

That is also why the term "Global South" doesn't really need to be taken literally since for example colonised States such as Hawai'i, or imperialized countries such as Mexico or certain parts of northern Africa are technically above the equator. It is more a symbolic allegorical representation of the people on top (the ruling classes) and the ones below (the oppressed masses).