How to Calculate Inflation Rate with CPI Data
The inflation rate links two Consumer Price Index readings, expressing the percentage change in price level between them. By measuring how the CPI shifts over a known period, you can describe how fast purchasing power is eroding.
How the CPI formula works
Subtract the earlier CPI index from the later index, divide that difference by the starting index, then multiply by 100 to convert to a percentage. This gives you the cumulative inflation over the span.
Example: A CPI rising from 258.1 to 269.5 over one year results in (269.5 – 258.1) / 258.1 × 100 ≈ 4.7 percent inflation. If the same CPI shift occurs over two years, the average annualized rate would be about 2.3 percent per year, which is useful when comparing multi-year snapshots.
Why both cumulative and annualized figures matter
- Cumulative inflation shows the total price movement between your two CPI readings.
- Annualized inflation normalizes the change to a per-year pace, making periods of different lengths comparable.
- Tracking the annualized rate helps you spot accelerating or decelerating price pressure even when the raw CPI change is modest.