352.64 is what percent of 4579.75 - 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 4579.75 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 4579.75, so we can write it down as 100%=4579.75.
4. We know, that x% equals 352.64 of the output value, so we can write it down as x%=352.64.
5. Now we have two simple equations:
1) 100%=4579.75
2) x%=352.64
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%=4579.75/352.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 352.64 is what percent of 4579.75

100%/x%=4579.75/352.64
(100/x)*x=(4579.75/352.64)*x       - we multiply both sides of the equation by x
100=12.987040607985*x       - we divide both sides of the equation by (12.987040607985) to get x
100/12.987040607985=x
7.6999836235602=x
x=7.6999836235602

now we have:
352.64 is 7.6999836235602% of 4579.75