9.34 is what percent of 32.42 - 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 32.42 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 32.42, so we can write it down as 100%=32.42.
4. We know, that x% equals 9.34 of the output value, so we can write it down as x%=9.34.
5. Now we have two simple equations:
1) 100%=32.42
2) x%=9.34
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%=32.42/9.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.34 is what percent of 32.42

100%/x%=32.42/9.34
(100/x)*x=(32.42/9.34)*x       - we multiply both sides of the equation by x
100=3.4710920770878*x       - we divide both sides of the equation by (3.4710920770878) to get x
100/3.4710920770878=x
28.809376927822=x
x=28.809376927822

now we have:
9.34 is 28.809376927822% of 32.42