352.58 is what percent of 435 - 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 435 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 435, so we can write it down as 100%=435.
4. We know, that x% equals 352.58 of the output value, so we can write it down as x%=352.58.
5. Now we have two simple equations:
1) 100%=435
2) x%=352.58
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%=435/352.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 352.58 is what percent of 435

100%/x%=435/352.58
(100/x)*x=(435/352.58)*x       - we multiply both sides of the equation by x
100=1.2337625503432*x       - we divide both sides of the equation by (1.2337625503432) to get x
100/1.2337625503432=x
81.052873563218=x
x=81.052873563218

now we have:
352.58 is 81.052873563218% of 435