# What is decimal notation of 9%?

Jun 26, 2018

50% = 0.5 (divide percentage by $100$)

9% = 0.09

Jun 26, 2018

9% = 0.09

#### Explanation:

Fact 1: In percentages the symbol % is a bit like a unit of
$\textcolor{w h i t e}{\text{ddddd}}$measurement.

Fact 2: Using an example: In algebra $2 x$ means $2 \times x$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using the above we have 9% -> 9xx%

But the unit of measurement % represents $\frac{1}{100}$ so we have:

9%color(white)("dd") -> color(white)("dd")9xx%color(white)("dd") ->color(white)("dd")9xx1/100=9/100

But $\frac{9}{100}$ has the same value as $0.09$

So 9% = 0.09