I am writing an academic paper and I do not know whether my expression is formal. The full sentence is

There is a threshold (we call it take-off threshold) of ρc above which the proportion of the successful diffusion increases dramatically (from 0% all the way up to 100%) as ρc increases.

What I want to highlight is that the proportion explodes from 0% to 100% in a very short period. I do not know whether all the way up is a formal expression and whether it can highlight the explosion process.

  • 1
    "All the way (up, down, there, here, etc.)" is rather an emphasis that you completely reach some destination without stopping short; it's not really about the speed. For example, "all the way up to 100%" implies "not 98%, not 99%, not 99.5%, but (all the way up to)100%."
    – Brandin
    Commented Aug 2, 2022 at 6:27
  • For a phrase which means to go up very quickly, I would look into "it shoots up". For example, it shoots up from 0% to 100%. However, this phrase does not sound very technical. In technical language, we normally say more explicitly what we mean, e.g. "it increases from 0% to 100% in a very short timespan."
    – Brandin
    Commented Aug 2, 2022 at 6:28
  • Yeah, I understand, thanks Brandin.
    – Gao Roy
    Commented Aug 2, 2022 at 7:44

1 Answer 1


I think you're focusing on the wrong words to emphasize your point. It seems as though it's the speed at which it reaches 100% that's more important than how large the range is from 0 to 100.

I would keep it simple and say 0% to 100%.

Then, say what you mean and use the words from your explanation. Consider changing "dramatically" to "rapidly" (or "almost instantly"?), or use the word "explodes" as you did in the explanation.

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .