So the US wages seem to be much higher than Germany. 

But one friend raised an important concern - in Europe, you often have high-quality public education and healthcare.

Wondering how the US wages look after you deduct the costs of these two.

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you can argue healthcare and education all you want
you can even argue life quality, safety
you can argue anything

but none of this explains why European wages have fallen in dollar terms (am curious about domestic real wage growth tho), nor why PPP wage growth has been slower in Europe

Be specific.     

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2010: 1 EUR = 1.4 USD
2024: 1 EUR =1.07 USD

That's a pretty solid devaluation in itself.