Question

`54` is `6%` of what number?

Answer 1

The answer is `900.`

Explanation:

You just have to do cross multiplication.

If `54 " is " 6%` of a number, then the number represents `100%.`

So you have :

`("Percent" rarr)/("Number"rarr) " " 6/54 = 100/?`

Then, you do : `? =(54xx100)/6`

Therefore, the answer is `900`.

Hope it was clear enough !

Answer 2

`x=900`

Explanation:

`color(blue)("Some facts about percentage")`

Percentage is just a fraction. However it is a special fraction in that the bottom number (denominator) is fixed at 100

The symbol `%` is a bit like a unit of measurement but one that is worth `1/100`

Example: `" "30%->30xx%->30xx1/100=30/100`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering your question")`

Note that in multiplying and dividing, cancelling out is the same process as changing values to 1. The reason is that if you multiply or divide by 1 it does not change a value.

Let the unknown value be `x`

Thus we have:

`6%" of "x" "=" "54`

`6/100xx x" "=" "54`

Multiply both sides by `color(red)(100/6)`

`color(green)(6/100color(red)(xx100/6)xx x" "=" "54color(red)(xx100/6))`

`color(green)(6/(color(red)(6)) xx(color(red)(100))/100xx x" "=" "900)`

but `6/6=1 and 100/100=1` giving:

`color(white)()`

`1xx1xx x=900`

`x=900`