Question

What percent of `27.5" is "17.16`?

Answer 1

`62.4%`

Explanation:

Percentage is basically a fraction but one where the denominator (bottom number) is fixed at 100.

Let the unknown value be `x`

So the relationship between the given numbers and percentage is:

`" "17.16/27.5=x/100`

Multiply both sides by 100

`17.16/27.5xx100=x/100xx100`

`(17.16xx100)/27.5=x xx100/100`

But `100/100=1`

`x=62.4->62.4% = 62.4/100`

Answer 2

`62.4%`

Explanation:

In order to find what percentages, one must divide the "part" by the "whole".

Since the "whole", or `100%`, in this problem is equal to `27.5`, and the "part", or percent of the whole, is equal to `17.16`, the first step in this problem is: `17.16/27.5`

From there, one must simplify: `17.16/27.5=0.624`

Then you multiply by `100%`:

`0.624*100%=62.4%`

The answer is `62.4%`

(Since one percent is equal to one hundredth, a decimal such as `0.624` is the same as `62.4%`.
However, a percent should always be expressed with the percent sign. The decimal is therefore multiplied by `100%`, which is the same as multiplying by `1`, and therefore doesn't change the answer.)

Answer 3

`=62.4%`

Explanation:

This question is slightly easier to understand if it is asked the other way round:

What percent is `17.16 " of "27.5`?

This indicates 'A part" of 'A whole', which means we can write it as a fraction.

This is similar to getting a result of a test out of `27.5`

To find a fraction as a percent `"Multiply by " 100%`

`17.16/27.5 xx 100%`

`=62.4%`