360.02 is what percent of 428.56 - 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 428.56 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 428.56, so we can write it down as 100%=428.56.
4. We know, that x% equals 360.02 of the output value, so we can write it down as x%=360.02.
5. Now we have two simple equations:
1) 100%=428.56
2) x%=360.02
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%=428.56/360.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.02 is what percent of 428.56

100%/x%=428.56/360.02
(100/x)*x=(428.56/360.02)*x       - we multiply both sides of the equation by x
100=1.190378312316*x       - we divide both sides of the equation by (1.190378312316) to get x
100/1.190378312316=x
84.006906850849=x
x=84.006906850849

now we have:
360.02 is 84.006906850849% of 428.56