Whenever computations need to be done with percents, the percents are first renamed as decimals.
Here are examples of changing percents to decimals.
Notice that the
$\,\%\,$ symbol is replaced
with a factor of
$\,\frac{1}{100}\,$:
As these examples illustrate, the percent symbol instructs multiplication by
$\,\frac{1}{100}\,$
(or, equivalently,
division by $\,100\,$),
which is accomplished
by moving the decimal point two places to the left.
Remember that if you don't see a decimal
point, then it gets inserted just to the right of the ones place.
Now, you can go from percents to decimals in one easy step,
by moving the decimal point two places to the left:
Some of my students find this memory device helpful:
PuDdLe
DiPpeR
(Imagine a little kid, barefoot, dipping piggy-toes in puddles!)
Percent to Decimal, two places to the Left
Decimal to Percent, two places to the Right
Here, you will practice renaming percents as decimals.
For example, $\,54\%\,$ gets renamed as $\,0.54\,$.