@Tigerle, your link says "Population with tertiary education is defined as those having completed the highest level of education, by age group. This includes both theoretical programmes leading to advanced research or high skill professions such as medicine and more vocational programmes leading to the labour market. "
“Higher education” as discussed in this thread in the context of the different college admissions systems in the US and Europe is about college education. There wasn’t any obvious link showing what percentage of the population with tertiary education had different types of degrees, which is what you’d really need for an apples-to-apples comparison.