We are temporarily past the peak.
The cases for England reached 56,196 (by date of specimen) on July 15, 4 days after the Euro finals. As indicated in the PHE technical briefings, Delta has got a median incubation period of 4 days.
Similarly to Scotland, I believe we will be seeing the downward trend or a few days (again, for England only based on the date of specimen). However, there is a risk that July 19th re-opening might push cases back up. We will need to wait and see.
Yes, closed schools help but while transmission in schools gets a lot of focus (especially from the Zero Covid crowd) what really matters is the level of socialisation among adults.