Question

What is 64% of 75?

Answer 1

64% of 75 `= 75(64/100) = 48`

Answer 2

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`

Answer 3

`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 `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:

`64/100 " 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" as "75/1`

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

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Solving your question")`

`64/100 xx 75/1" "=" " (64xx75)/(100xx1)" " =" "48`