convertimate Doubling time and growth rate

Percent per year to doubling time in years

Type a value in %/year to get it in years instantly.

23.45years

That's 3.3× as fast as world population growth, while a 7 % a year investment is 2.3× faster. It doubles in 23.45 years and grows tenfold in 77.9 years.

What it means

How fast is that growth?

Assumes steady compound growth. Percent rates compound once per period; “per hour” and “per day” rates are continuous.

The math

How to convert %/year to years

Doubling time = ln 2 ÷ ln(1 + r) periods, close to 70 ÷ percent; r = 2^(1 ÷ doubling time) − 1.

Example: 3 %/year = 23.4498 years.

Every unit

That growth in every unit

Tables

%/year to years conversion table

%/year to years conversion table
%/yearyears
0.5 %/year138.976 years
1 %/year69.6607 years
2 %/year35.0028 years
3 %/year23.4498 years
4 %/year17.673 years
5 %/year14.2067 years
6 %/year11.8957 years
7 %/year10.2448 years
8 %/year9.00647 years
10 %/year7.27254 years
12 %/year6.11626 years
15 %/year4.95948 years
20 %/year3.80178 years
years to %/year conversion table
years to %/year conversion table
years%/year
3.8 years20.0103 %/year
4.96 years14.9983 %/year
6.12 years11.9922 %/year
7.27 years10.0037 %/year
9.01 years7.99674 %/year
10.2 years7.03178 %/year
11.9 years5.99775 %/year
14.2 years5.00242 %/year
17.7 years3.99378 %/year
23.4 years3.00648 %/year
35 years2.00016 %/year
69.7 years0.999434 %/year
139 years0.499912 %/year

Quick answers

Quick answers

How many years is 1 %/year?
1 %/year is 69.6607 years.
How many years is 10 %/year?
10 %/year is 7.27254 years.
How many years is 3 %/year?
3 %/year is 23.4498 years.

The units

About these units

Percent per year (%/year)

Compound annual growth rate.

Doubling time in years (years)

Years to double.

Learn more about growth units

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