90.63 is what percent of 329.13 - 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 329.13 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 329.13, so we can write it down as 100%=329.13.
4. We know, that x% equals 90.63 of the output value, so we can write it down as x%=90.63.
5. Now we have two simple equations:
1) 100%=329.13
2) x%=90.63
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%=329.13/90.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.63 is what percent of 329.13

100%/x%=329.13/90.63
(100/x)*x=(329.13/90.63)*x       - we multiply both sides of the equation by x
100=3.6315789473684*x       - we divide both sides of the equation by (3.6315789473684) to get x
100/3.6315789473684=x
27.536231884058=x
x=27.536231884058

now we have:
90.63 is 27.536231884058% of 329.13