655.59 is what percent of 862.42 - 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 862.42 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 862.42, so we can write it down as 100%=862.42.
4. We know, that x% equals 655.59 of the output value, so we can write it down as x%=655.59.
5. Now we have two simple equations:
1) 100%=862.42
2) x%=655.59
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%=862.42/655.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 655.59 is what percent of 862.42

100%/x%=862.42/655.59
(100/x)*x=(862.42/655.59)*x       - we multiply both sides of the equation by x
100=1.3154868134047*x       - we divide both sides of the equation by (1.3154868134047) to get x
100/1.3154868134047=x
76.017485679831=x
x=76.017485679831

now we have:
655.59 is 76.017485679831% of 862.42