to the extent that; to such a degree that (you could say ...); used to emphasize degree.
彼は感動して泣きそうだというくらい喜んでいた。
He was so happy he was about to cry.
忙しくて、昼ごはんを食べる時間がないというくらいだった。
I was so busy I didn't even have time to eat lunch.
それは美味しいというくらいではなく、ほとんど芸術品のようだった。
It wasn't just tasty—you could say it was almost a work of art.