9.69 is what percent of 38.35 - 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 38.35 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 38.35, so we can write it down as 100%=38.35.
4. We know, that x% equals 9.69 of the output value, so we can write it down as x%=9.69.
5. Now we have two simple equations:
1) 100%=38.35
2) x%=9.69
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%=38.35/9.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.69 is what percent of 38.35

100%/x%=38.35/9.69
(100/x)*x=(38.35/9.69)*x       - we multiply both sides of the equation by x
100=3.9576883384933*x       - we divide both sides of the equation by (3.9576883384933) to get x
100/3.9576883384933=x
25.267275097784=x
x=25.267275097784

now we have:
9.69 is 25.267275097784% of 38.35