Formula & learning tools

CPM Calculator Math

Work through the arithmetic behind cost per thousand impressions and solve for the missing campaign value.

Interactive calculator

Calculate cost per thousand

Use this page for a transparent mathematical check rather than relying on an unexplained result.

Symbols only; values are not converted.

Example values are prefilled—edit either available input.

iThe total amount spent or earned for the impressions in this calculation.
£
Enter the total value for one reporting period.
iThe number of times the advertisement or placement was delivered.
views
Use impressions from the same period as the cost.
iCost per mille: the cost or revenue for every 1,000 impressions.
£ per 1K
The rate applied to each thousand impressions.
Quick examples

How this calculation works

Use this page for a transparent mathematical check rather than relying on an unexplained result.

Rate per impression = cost ÷ impressions; CPM = rate per impression × 1,000.

Example calculation

£0.007 per impression multiplied by 1,000 equals a £7.00 CPM.

Change either input in the calculator to model a different campaign scenario.

Use the result correctly

  • Calculate the per-impression rate before scaling by 1,000.
  • Keep sufficient decimal precision.
  • Verify that the impression count covers the same spend.

Frequently asked questions

What does cpm calculator math calculate?

It calculates CPM, total cost, or impressions from any two known values. The page also explains the formula in the context of use this page for a transparent mathematical check rather than relying on an unexplained result.

What formula does cpm calculator math use?

Rate per impression = cost ÷ impressions; CPM = rate per impression × 1,000.

Is cpm calculator math free to use?

Yes. The calculator runs in your browser and does not require an account.