Your numbers are just wrong, then. The US federal minimum wage is $7.25/hr, and 19 US states are at or below that number. That's a hair above $15k/yr. That's quite a lot less than €40k/yr (~$45k/yr).
Let's talk about that $45k/yr. That's an hourly wage of $21.63. No state in the entirety of the US has a minimum wage that high. The current max is Washington, DC (not a state, but they also set their own) at $18.40, which comes out to under $39k.
That's all for hourly work. In the US, there is no minimum for salaried work. If you agree to be paid $1/yr for your work, that's what you get.
So, the minimum hourly wage where you live is absolutely higher than the US, nearly triple that of much of it.