27.18 is what percent of 453.25 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 453.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 453.25, so we can write it down as 100%=453.25.
4. We know, that x% equals 27.18 of the output value, so we can write it down as x%=27.18.
5. Now we have two simple equations:
1) 100%=453.25
2) x%=27.18
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=453.25/27.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.18 is what percent of 453.25

100%/x%=453.25/27.18
(100/x)*x=(453.25/27.18)*x       - we multiply both sides of the equation by x
100=16.675864606328*x       - we divide both sides of the equation by (16.675864606328) to get x
100/16.675864606328=x
5.9966905681191=x
x=5.9966905681191

now we have:
27.18 is 5.9966905681191% of 453.25