352.25 is what percent of 425 - 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 425 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 425, so we can write it down as 100%=425.
4. We know, that x% equals 352.25 of the output value, so we can write it down as x%=352.25.
5. Now we have two simple equations:
1) 100%=425
2) x%=352.25
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%=425/352.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 352.25 is what percent of 425

100%/x%=425/352.25
(100/x)*x=(425/352.25)*x       - we multiply both sides of the equation by x
100=1.2065294535131*x       - we divide both sides of the equation by (1.2065294535131) to get x
100/1.2065294535131=x
82.882352941176=x
x=82.882352941176

now we have:
352.25 is 82.882352941176% of 425