Sometimes I listen to some songs and try to get the underlying features of it, and this time I've hit a bump.... I have no idea what is the progression on the following song:

It's TheFatRat and AleXa's "Rule the World" chorus part. If I transcribed it correctly, that's the song. In case the image doesn't show, the chords are Bb-F-G-C, on an F Major scale. So, from the little I know on music theory, this song's progression should be IV-I-II-V, right?

However, I haven't found this specific progression in my researches. Am I understanding this progression incorrectly, or does this progression actually exists? If it does, what's it's name?