9.94 is what percent of 118.32 - 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 118.32 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 118.32, so we can write it down as 100%=118.32.
4. We know, that x% equals 9.94 of the output value, so we can write it down as x%=9.94.
5. Now we have two simple equations:
1) 100%=118.32
2) x%=9.94
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%=118.32/9.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.94 is what percent of 118.32

100%/x%=118.32/9.94
(100/x)*x=(118.32/9.94)*x       - we multiply both sides of the equation by x
100=11.903420523139*x       - we divide both sides of the equation by (11.903420523139) to get x
100/11.903420523139=x
8.4009465855308=x
x=8.4009465855308

now we have:
9.94 is 8.4009465855308% of 118.32