28.33 is what percent of 97.64 - 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 97.64 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 97.64, so we can write it down as 100%=97.64.
4. We know, that x% equals 28.33 of the output value, so we can write it down as x%=28.33.
5. Now we have two simple equations:
1) 100%=97.64
2) x%=28.33
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%=97.64/28.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.33 is what percent of 97.64

100%/x%=97.64/28.33
(100/x)*x=(97.64/28.33)*x       - we multiply both sides of the equation by x
100=3.4465231203671*x       - we divide both sides of the equation by (3.4465231203671) to get x
100/3.4465231203671=x
29.014748054076=x
x=29.014748054076

now we have:
28.33 is 29.014748054076% of 97.64