7.59 is what percent of 64.37 - 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 64.37 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 64.37, so we can write it down as 100%=64.37.
4. We know, that x% equals 7.59 of the output value, so we can write it down as x%=7.59.
5. Now we have two simple equations:
1) 100%=64.37
2) x%=7.59
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%=64.37/7.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.59 is what percent of 64.37

100%/x%=64.37/7.59
(100/x)*x=(64.37/7.59)*x       - we multiply both sides of the equation by x
100=8.4808959156785*x       - we divide both sides of the equation by (8.4808959156785) to get x
100/8.4808959156785=x
11.791207084045=x
x=11.791207084045

now we have:
7.59 is 11.791207084045% of 64.37