Population Growth Calculator (by Percentage)
Population growth refers to the increase (or decrease) in the number of individuals in a population over time. It is usually expressed as a percentage increase per year, known as the annual growth rate.
Calculate Future Population
How the Formula Works
Formula:
Future Population = Initial × (1 + r)n
where:
- r = growth rate ÷ 100
- n = number of years
This assumes consistent annual compounding growth.
Why Use a Population Growth Calculator?
- To project future population trends for a city, country, or region
- To plan infrastructure, schools, housing, and healthcare
- To estimate market size for business and economic forecasting
- To model population dynamics in research or academia
Understanding Exponential Growth
Population growth is typically modeled using compound (exponential) growth, meaning each year the increase is applied to the new total — not just the original population. This leads to faster growth over time.
For example, 2% annual growth on 10,000 people:
Year 1 → 10,200
Year 2 → 10,404
Year 3 → 10,612.08
... and so on.
Frequently Asked Questions
What is a normal population growth rate?
Global population growth is currently around 1.0–1.2% annually. Rapidly growing countries may have rates over 2%, while developed nations may be under 0.5%.
What happens if the growth rate is negative?
This means the population is shrinking. Enter a negative growth rate (e.g. -0.5%) to calculate projected decline.
How accurate is this calculation?
This calculator assumes a constant annual rate. Real-world populations may be affected by birth/death rates, migration, policies, or sudden events.
Examples
Example 1:
Initial: 10,000 | Growth Rate: 2% | Years: 5
10,000 × (1 + 0.02)5 = 11,040.81
Example 2:
Initial: 50,000 | Growth Rate: 1.5% | Years: 10
50,000 × (1.015)10 ≈ 58,021.59
Related pages:
- Percentage Calculator
- Percentage of a Number
- What Percent One Number Is of Another
- Percentage Increase Method
- Percentage Decrease Method
- How to Find the Total from a Percentage
- How to Solve Reverse Percentage Problems
- How to Use the Percent per Unit Method
- Tip Calculator
- Discount Calculator
- Percentage Difference Calculator
- Percentage Change Calculator
- Reverse Percentage Calculator
- Interest Rate / APR Percentage Calculator
- Exam / Grade Percentage Calculator
- Percentage Difference Between Two Numbers
- Body Fat Percentage Calculator (Body Fat %)
- Weight Loss Percentage Calculator
- Margin and Profit Percentage Calculator
- Depreciation Percentage Calculator
- Fraction / Decimal to Percentage Converter
- Percentage to Fraction / Decimal Converter
- Percentage Error Calculator
- Percentage Allocation Calculator
- Population Growth Calculator (by Percentage)
- Salary Raise / Bonus Calculator (by %)
- Tax Percentage Calculator
- Percentage Completion Calculator