How to Calculate Percentage Increase Step-by-Step
A clear, step-by-step guide to calculating percentage increase manually or with a calculator. Master the formula in minutes.
•3 min read
Read more →Population Growth Calculator
Determine the percentage growth of any population over a specific period. Ideal for geography, biology, and sociology studies.
Calculate Demographic Expansion & Rates
Quick Answer
Population growth measures the annual percentage increase in a population due to births, deaths, and migration. It tells you how fast a city, country, or organism group is expanding or shrinking.
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Calculate Population
- Enter the population count at the start date.
- Enter the population count at the end date.
- Calculate the growth percentage.
Rate Formula:
Growth Rate % = ((Final Pop − Initial Pop) ÷ Initial Pop) × 100Why Population Growth Matters
Population trends determine economic potential, housing needs, and resource consumption. Rapid growth can strain infrastructure, while decline can lead to labor shortages.
This math is identical for cities, countries, or even biological experiments (like measuring bacteria in a petri dish).
Zero vs Negative Growth
Zero Growth:
Births + Immigration = Deaths + Emigration. The population size remains stable (Replacement Level).
Demographic Examples
100,000 to 105,000
Result: 5% growth
1M to 1.02M
Result: 2% growth
50,000 to 48,000
Result: -4% decline
330M to 332M
Result: 0.61% growth
100 to 200 (bacteria)
Result: 100% growth
8 Billion to 9 Billion
Result: 12.5% growth
2500 to 3000
Result: 20% growth
5M to 6M
Result: 20% growth
10k to 15k
Result: 50% growth
500 to 400
Result: -20% decline
7500 to 8000
Result: 6.67% growth
1.2M to 1.5M
Result: 25% growth
120M to 121M
Result: 0.83% growth
45000 to 46000
Result: 2.22% growth
1 to 2
Result: 100% growth
Growth FAQ
What affects population growth?
Birth rates, death rates, and migration (immigration vs emigration). Natural increase is Births minus Deaths.
What is exponential growth?
When the growth rate stays constant (e.g., 2%), the absolute number of people added grows larger every year, creating a 'hockey stick' curve.
How do I calculate annual growth rate?
If you have growth over multiple years, you need the CAGR formula, not just simple percentage increase. This calculator gives the TOTAL percentage growth over the period you entered.