10.39 is what percent of 96.97 - 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 96.97 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 96.97, so we can write it down as 100%=96.97.
4. We know, that x% equals 10.39 of the output value, so we can write it down as x%=10.39.
5. Now we have two simple equations:
1) 100%=96.97
2) x%=10.39
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%=96.97/10.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.39 is what percent of 96.97

100%/x%=96.97/10.39
(100/x)*x=(96.97/10.39)*x       - we multiply both sides of the equation by x
100=9.3330125120308*x       - we divide both sides of the equation by (9.3330125120308) to get x
100/9.3330125120308=x
10.714654016706=x
x=10.714654016706

now we have:
10.39 is 10.714654016706% of 96.97