On the same 65.000 € gross, a worker takes home roughly $16,593 more per year in United States than in Germany. That gap reflects the tax structure alone — before rent, healthcare, or savings behaviour come into play.
Housing is the first multiplier. United States has high rent pressure, while Germany has moderate rent pressure. That means part of the higher take-home in United States can be absorbed by rent if you land in a major city.
Healthcare and pensions go in the opposite direction. United States runs a private healthcare model — Private, employer-tied insurance dominates; out-of-pocket costs can be significant. Germany uses a public model — Statutory health insurance (~14.6% split with employer) gives full coverage. The country with lower take-home often shifts costs that the other country leaves to your private budget.
Net-of-everything, a relocation decision should weigh basic public welfare in United States against comprehensive welfare state in Germany, plus differences in pension capture, social safety nets, and city-level cost of living.