652.02 is what percent of 869.36 - 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 869.36 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 869.36, so we can write it down as 100%=869.36.
4. We know, that x% equals 652.02 of the output value, so we can write it down as x%=652.02.
5. Now we have two simple equations:
1) 100%=869.36
2) x%=652.02
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%=869.36/652.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 652.02 is what percent of 869.36

100%/x%=869.36/652.02
(100/x)*x=(869.36/652.02)*x       - we multiply both sides of the equation by x
100=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
100/1.3333333333333=x
75=x
x=75

now we have:
652.02 is 75% of 869.36