The formulas
- Equivalent amount = amount x (later CPI / earlier CPI)
- Percent change = (later CPI - earlier CPI) / earlier CPI x 100
- Purchasing power = earlier CPI / later CPI
- Annualized = (later CPI / earlier CPI)^(1 / years) - 1
How it works
The Bureau of Labor Statistics shows how to restate a dollar amount between two periods: multiply it by the ratio of the later index to the earlier index. The BLS example uses May 2015 (237.805) and May 2016 (240.236): $500 in May 2015 equals $505.11 in May 2016. The example in this tool reproduces it.
Both index values must use the same reference base, such as 1982-84=100. For a 12-month change, use the same month in both years. Annual averages and monthly values answer different questions, so do not mix them. The BLS online calculator uses the CPI-U, U.S. city average, all items, not seasonally adjusted series. BLS could not collect October 2025 CPI survey data because of a lapse in appropriations, and its online calculator does not compute results that use October 2025.
Illustrative figures only. Check the result against your firm's methodology before relying on it.
Common questions
Where do I find the index values?
From the BLS CPI database. Pick one series, such as CPI-U U.S. city average, and use it for both periods.
Why is the percent change not the sum of monthly changes?
Percent changes compound. BLS notes that an over-the-year change is not equal to the sum of the monthly changes.
Can I use this for a contract escalation clause?
Yes, if the clause names the series and months. Use exactly the series and base the contract names.
Sources
- U.S. Bureau of Labor Statistics, Math calculations to better utilize CPI data
- U.S. Bureau of Labor Statistics, CPI Inflation Calculator
Runs in your browser. The figures you type are not sent to CORAA or stored. Check the result against your firm's methodology before relying on it.