9.96 is what percent of 25.96 - 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 25.96 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 25.96, so we can write it down as 100%=25.96.
4. We know, that x% equals 9.96 of the output value, so we can write it down as x%=9.96.
5. Now we have two simple equations:
1) 100%=25.96
2) x%=9.96
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%=25.96/9.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.96 is what percent of 25.96

100%/x%=25.96/9.96
(100/x)*x=(25.96/9.96)*x       - we multiply both sides of the equation by x
100=2.6064257028112*x       - we divide both sides of the equation by (2.6064257028112) to get x
100/2.6064257028112=x
38.366718027735=x
x=38.366718027735

now we have:
9.96 is 38.366718027735% of 25.96