The phrase "revolutionary way" means a new and groundbreaking method or approach that brings significant and positive changes to a particular situation or problem. Full definition
This is a completely new + revolutionary way of interacting with your smartphone. (gogi.in)
Every failed recipe attempt eventually led to this bread, its brown bread cousin, and eventually to a whole new, truly revolutionary way of making gluten free bread. (glutenfreeonashoestring.com)
Interestingly, however, some female contemporary Chinese artists have chosen to work with thread and textiles — and embroidery — in experimental, maybe even revolutionary ways. (dailyserving.com)