Question

What is 115% of 600?

Answer 1

`115%` of `600` is `690`

Explanation:

`115%` is equivalent to the fraction `115/100`.

Hence `115%` of `600` is equivalent to `115/100` of `600`

i.e. `115/100xx600`

= `115/((cancel100)^1)xx cancel(600)^6`

= `115xx6`

= `690`

Answer 2

`115/100*600`
`115*6`
`690`

Answer 3

`600+90 = 690`

Explanation:

#115%" means the full amount of 600 and then another 15% as well.

Your answer should obviously be more than 600.
This puzzles many people because they think of a percentage as only being less than 100%

The quickest method as shown elsewhere as well is:

`115/100 xx 600`

=`690`

But it might be clearer what it means if we do 2 calculations.

`100% xx 600 = 600`

`15% xx 600 = 90`

`(100%+15%) xx 600 = 600+90 = 690`

It is worth noting that `115%` can be considered as a improper fraction where the numerator is bigger than the denominator.

Multiplication by an improper fraction always increases the number.

`600 xx 115/100 =690" "`(which is an increase from 600)

Answer 4

`690`

Explanation:

In this context the word 'of' means multiply

`color(blue)("Concept 1")`

So 115% of 600 is the same as `115%xx600`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Concept 2")`

Lets consider what % means. It is the units of measurement
In the same way that if we had 30 cm the cm is the units of measurement for the 30. It is stating what we are counting.

So % as units of measurement is `1/100`

So 115% `-> 115xx1/100`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Answering the question")`

For this question we have: 115% of 600 `-> 115xx1/100xx600`

`115xx600/100" " ->" " 115xx6xx100/100`

`115xx6xx1 = 690`