9.96 is what percent of 37.42 - 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 37.42 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 37.42, so we can write it down as 100%=37.42.
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%=37.42
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%=37.42/9.96
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 37.42

100%/x%=37.42/9.96
(100/x)*x=(37.42/9.96)*x       - we multiply both sides of the equation by x
100=3.7570281124498*x       - we divide both sides of the equation by (3.7570281124498) to get x
100/3.7570281124498=x
26.616782469268=x
x=26.616782469268

now we have:
9.96 is 26.616782469268% of 37.42