325.2 is what percent of 428 - 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 428 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 428, so we can write it down as 100%=428.
4. We know, that x% equals 325.2 of the output value, so we can write it down as x%=325.2.
5. Now we have two simple equations:
1) 100%=428
2) x%=325.2
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%=428/325.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 325.2 is what percent of 428

100%/x%=428/325.2
(100/x)*x=(428/325.2)*x       - we multiply both sides of the equation by x
100=1.3161131611316*x       - we divide both sides of the equation by (1.3161131611316) to get x
100/1.3161131611316=x
75.981308411215=x
x=75.981308411215

now we have:
325.2 is 75.981308411215% of 428