Population Growth Rate Calculator

A simple (end−start)÷start misses the fact that growth compounds year over year. This uses the same compound-annual-growth-rate method national statistics offices use for population and GDP.

Your numbers

Starting population()Ending population()Years(yr)

Annualized growth rate

0.98%

What it means

The annualized population growth rate is 0.98%. At this pace the population keeps growing from 1,050,000.

Formula

Annualized growth rate = ((Ending population ÷ Starting population) ^ (1 ÷ Years) − 1) × 100

This is net growth — births, deaths and migration are not separated out. Matching an official statistics bureau exactly requires their specific base year and census method.

What to enter

Input	Default	Accepted range
Starting populationPopulation at the start of the period.	1,000,000	1 and up
Ending populationPopulation at the end of the period.	1,050,000	1 and up
Years (yr)How many years the money stays put; compounding bites harder as this grows.	5	0.1 ~ 200

Step by step

FormulaAnnualized growth rate = ((Ending population ÷ Starting population) ^ (1 ÷ Years) − 1) × 100

With the default numbersAnnualized growth rate = ((1,050,000 ÷ 1,000,000) ^ (1 ÷ 5) − 1) × 100

AnswerAnnualized growth rate = 0.98 %

Quick reference table

Results when only Starting population changes and everything else stays put.

Starting population	Annualized growth rate (%)
500,000	16
750,000	6.96
1,000,000	0.98
1,500,000	-6.89
2,000,000	-12.09

What each result means

Result	At default values
Annualized growth rate (%)A compound annual rate, not a simple end-minus-start ratio.	0.98

Common mistakes

This is net growth — births, deaths and migration are not separated out. Matching an official statistics bureau exactly requires their specific base year and census method.

Glossary

Starting population: Population at the start of the period.
Ending population: Population at the end of the period.
Years: How many years the money stays put; compounding bites harder as this grows.
Annualized growth rate: A compound annual rate, not a simple end-minus-start ratio.

Frequently asked questions

QHow is Population Growth Rate Calculator calculated?

Annualized growth rate = ((Ending population ÷ Starting population) ^ (1 ÷ Years) − 1) × 100 — A simple (end−start)÷start misses the fact that growth compounds year over year. This uses the same compound-annual-growth-rate method national statistics offices use for population and GDP.

QCan you walk through an example?

With Starting population 1,000,000, Ending population 1,050,000, Years 5yr, the answer is Annualized growth rate 0.98%.

QWhat do I need to enter?

Enter Starting population, Ending population, Years. The result recalculates as you type, and an empty box counts as zero.

QHow much does the answer move if I change a number?

Changing only Starting population moves the answer to Starting population 500,000 → Annualized growth rate (%) 16 and Starting population 2,000,000 → Annualized growth rate (%) -12.09. The table below lays out five steps.

QHow are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

QAnything to watch out for?

This is net growth — births, deaths and migration are not separated out. Matching an official statistics bureau exactly requires their specific base year and census method.

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