V * (1 - E) / ((1 - V) + (V * (1 - E))
where V is the percentage of the age group that's vaccinated (~95% for >70yo) and E is the effectiveness against either death or symptomatic disease (which isn't exactly the same as a case, I know), i.e. only (1 - E) of the vaccinated population will face death or symptomatic disease.
[1] https://assets.publishing.service.gov.uk/government/uploads/...