So are cows in Europe, Australia, New Zealand fed 100% grass throughout their life?
There is often supplementary feeding of palm kernel (the solid bits of palm oil seeds left over after the oil is pressed out) maize, and/or lucerne.
Beef cows, these days, yes, almost all. It's part of the branding the country's big meat packers are going for (100% grass fed).
[1] Less confident about this for Australia but I still think that's true.