# What is 64% of 75?

Feb 21, 2016

64% of 75 $= 75 \left(\frac{64}{100}\right) = 48$

Feb 21, 2016

48

#### Explanation:

100% of 75 =75

so 10% 75= 7.5
=> 60% of 75= 6 *7.5 = 45

and 2% of 75 = 10/5% of 75 = 7.5/5 =1.5
so 4% = 1.5* 2 =3.0

therefore 64% of 75 = 60% of 75 +4 % of 75 = 45+3 =48

Feb 21, 2016

color(blue)(64%" of " 75= 48)

A full explanation is given (in detail) about what is happening and what things mean.

#### Explanation:

When percentage is presented in the format of 64% it is a shorthand notation for $\frac{64}{100}$. So basically, it is a fraction.

Lets split up the wording percent:

Per means: 'for each'

cent means: one hundred. Think of century or centimetre

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So the question: "What is 64% of " is saying:

$\frac{64}{100} \text{ of } 75$

That is: split up 75 into 100 equal sized parts and put together 64 of them.

By the way, although not normally done it is perfectly correct to write $75 \text{ as } \frac{75}{1}$

I am going to do this to demonstrate without room for doubt what is happening:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Solving your question}}$

$\frac{64}{100} \times \frac{75}{1} \text{ "=" " (64xx75)/(100xx1)" " =" } 48$