# How do you write .4 as a percent?

May 30, 2018

40%

#### Explanation:

First and foremost; percent is a fraction but a special one where the bottom number (denominator) is fixed at 100.

Multiply by 1 and you do not change the value. However 1 comes in many forms.

$0.4 \times 1 \textcolor{w h i t e}{\text{d")-> color(white)("d}} 0.4 \times \frac{100}{100} = \frac{40}{100}$

This is the same as: $40 \textcolor{w h i t e}{\text{d}} \underbrace{\times \frac{1}{100}}$
$\textcolor{w h i t e}{\text{ddddddddddddddddddd}} \downarrow$
color(white)("ddddddddddddddd")40color(white)("dd.")%

% is another way of writing $\times \frac{1}{100}$ including the multiply