965.88 is what percent of 7253.16 - 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 7253.16 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 7253.16, so we can write it down as 100%=7253.16.
4. We know, that x% equals 965.88 of the output value, so we can write it down as x%=965.88.
5. Now we have two simple equations:
1) 100%=7253.16
2) x%=965.88
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%=7253.16/965.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.88 is what percent of 7253.16

100%/x%=7253.16/965.88
(100/x)*x=(7253.16/965.88)*x       - we multiply both sides of the equation by x
100=7.5093800472108*x       - we divide both sides of the equation by (7.5093800472108) to get x
100/7.5093800472108=x
13.316678523568=x
x=13.316678523568

now we have:
965.88 is 13.316678523568% of 7253.16