The funny thing is, at least when I attended UW (early 2000's), is that its domestic profile was not as strong as its recognition in the US would suggest. Many Canadians would mention more established schools such as U of T and Queens before Waterloo.
However, when I went for my first internship in California (NVIDIA, with about 20 fellow UW students), I found out that most people there couldn't name a single Canadian school, but if they could, it was UW.
I also remember a poker dealer in Vegas seeing my friend's iron ring and guessing "Waterloo?".