Calculate cost per capita, total cost, or population from any two values with step-by-step results and formulas for dollars per person.
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Cost Per Capita Formula
The cost per capita calculation divides a total cost by the number of people in the population. The calculator can also rearrange the same relationship to solve for total cost or population when you enter the other two values.
- CPC = cost per capita, in dollars per person
- TC = total cost, in dollars
- P = population, in people
To solve for total cost, the formula is rearranged as:
To solve for population, the formula is rearranged as:
- Calculate cost per capita: Enter total cost and population. The calculator divides total cost by population.
- Calculate total cost: Enter cost per capita and population. The calculator multiplies the two values.
- Calculate population: Enter total cost and cost per capita. The calculator divides total cost by cost per capita.
Common Cost Per Capita Uses
Cost per capita is often used to compare spending across groups of different sizes. The table below shows common ways this calculation is used.
| Use case | Total cost | Population | What the result means |
|---|---|---|---|
| City budget | Annual public spending | City residents | Average spending per resident |
| Healthcare program | Program cost | People served | Average cost per person served |
| School spending | Total school or district cost | Students | Average cost per student |
| Event planning | Total event cost | Attendees | Average cost per attendee |
How to Interpret Cost Per Capita
| Result pattern | Meaning | What to check |
|---|---|---|
| Higher cost per capita | More cost is assigned to each person on average. | Check whether the total cost is high, the population is small, or both. |
| Lower cost per capita | Less cost is assigned to each person on average. | Check whether the cost is spread across a larger population. |
| Population equals zero | Cost per capita cannot be calculated. | Use a population greater than zero. |
Example Calculations
Example 1: Find cost per capita
A program costs $250,000 and serves 5,000 people.
The cost per capita is $50 per person.
Example 2: Find total cost
A service costs $18.75 per person and covers 12,000 people.
The total cost is $225,000.
FAQ
What does cost per capita mean?
Cost per capita means the average cost per person. It is calculated by dividing the total cost by the population. For example, if a project costs $10,000 and applies to 1,000 people, the cost per capita is $10 per person.
Is cost per capita the same as average cost per person?
Yes. Cost per capita is another way to say average cost per person. It does not mean every person actually paid or received that exact amount. It spreads the total cost evenly across the population for comparison.
Why can’t population be zero?
You cannot divide by zero. Since cost per capita equals total cost divided by population, the population must be greater than zero to produce a valid result.