9.68 is what percent of 38.69 - 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 38.69 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 38.69, so we can write it down as 100%=38.69.
4. We know, that x% equals 9.68 of the output value, so we can write it down as x%=9.68.
5. Now we have two simple equations:
1) 100%=38.69
2) x%=9.68
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%=38.69/9.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.68 is what percent of 38.69

100%/x%=38.69/9.68
(100/x)*x=(38.69/9.68)*x       - we multiply both sides of the equation by x
100=3.9969008264463*x       - we divide both sides of the equation by (3.9969008264463) to get x
100/3.9969008264463=x
25.019384853967=x
x=25.019384853967

now we have:
9.68 is 25.019384853967% of 38.69