652.16 is what percent of 795.5 - 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 795.5 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 795.5, so we can write it down as 100%=795.5.
4. We know, that x% equals 652.16 of the output value, so we can write it down as x%=652.16.
5. Now we have two simple equations:
1) 100%=795.5
2) x%=652.16
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%=795.5/652.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 652.16 is what percent of 795.5

100%/x%=795.5/652.16
(100/x)*x=(795.5/652.16)*x       - we multiply both sides of the equation by x
100=1.2197926889107*x       - we divide both sides of the equation by (1.2197926889107) to get x
100/1.2197926889107=x
81.981143934632=x
x=81.981143934632

now we have:
652.16 is 81.981143934632% of 795.5