Amazing, isn't it.
But be prepared for the old-style metal fillings (unless it's in a front tooth and visible). Because that's what the NHS covers. I'm thinking that paying privately for resin fillings is still waaaay cheaper than it was in the USA, though. And I remember paying over $500 for a crown on a back tooth - with private insurance. It's not nearly that expensive here! The clean-n-scale I've gotten here has been really underwhelming, though only about 11 pounds. But that could just be my particular dentist.
The clean and scrape definitely is not as comprehensive as we used to get in the USA. Ours here is not too bad and costs £54 which probably reflects the time spent. I also remember paying over $500 for a crown even with dental insurance through work.
We have not had dental insurance in the USA since retiring in 2010 so have been paying full price. The last year we had dental treatment at our long time and excellent dentist the costs, in 2016, were as follows:
Clean and scrape for myself was $177 including dentist exam afterwards. My wife got talked into having full mouth XRays (4) which cost an extra $96.
Our dentist here charges £27 for a check up. The first check up was free and after the second one he said that our teeth were healthy enough that he only needed to see us if we had a problem or the hygienist spotted something. On our first visit he asked if he could do full mouth XRays which we agreed to at a cost of £14, and that was just like in the USA where he immediately brought up the images on his laptop and discussed them with me.
In 2016 in the USA I needed a crown which cost $1,625 (after the 10% senior discount) and my first and only root canal which cost $1,490.
ETA
I have dental costs summarized in a spreadsheet going back to 2008, and between 2008 and 2016 we spent $9,641.
In that same 7.5 year period, for out of pocket health costs including insurance we spent an amazing $42,203.
Dental and vision (eye tests and glasses) over those same years was another $11,828.