9.35 is what percent of 64.35 - 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 64.35 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 64.35, so we can write it down as 100%=64.35.
4. We know, that x% equals 9.35 of the output value, so we can write it down as x%=9.35.
5. Now we have two simple equations:
1) 100%=64.35
2) x%=9.35
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%=64.35/9.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.35 is what percent of 64.35

100%/x%=64.35/9.35
(100/x)*x=(64.35/9.35)*x       - we multiply both sides of the equation by x
100=6.8823529411765*x       - we divide both sides of the equation by (6.8823529411765) to get x
100/6.8823529411765=x
14.529914529915=x
x=14.529914529915

now we have:
9.35 is 14.529914529915% of 64.35