Question

What is 28% of 95?

Answer 1

28% of 95 is `color(red)(26.6)`

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 28% can be written as `28/100`.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for `n` while keeping the equation balanced:

`n = 28/100 xx 95`

`n = 2660/100`

`n = 26.6`

Answer 2

`26.6`

Explanation:

The % symbol is a unit of measurement that is worth `1/100`

So 28% of 95 `->28xx1/100xx95`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Using a calculator")`

`28/100xx95 = 26.6`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Manual calculation")`

Splitting the calculation

`28xx95xx1/100`

For the moment discount the `1/100`

Split the 28 into `20+8` which can be split further into

`color(purple)(28xx95" "=" ")color(green)( (20xx95)" "+" "(8xx95))`

`" "=" "color(red)((2xx10xx95)color(darkslategrey)(" "+" "(8xx95)))`
`color(white)(.)`

`ul(color(red)(10xx95) = 950)`
`color(red)("Double it")=1900 larr" That is the "2xx10xx95" bit"`
`ul(color(darkslategrey)(8xx95)color(white)(....) =color(white)(.) 760) larr " Add"`
`" "2660`

Now we bring back the `1/100`

`2660xx1/100 = 26.60 ->26.6`