12.01 is what percent of 119.4 - 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 119.4 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 119.4, so we can write it down as 100%=119.4.
4. We know, that x% equals 12.01 of the output value, so we can write it down as x%=12.01.
5. Now we have two simple equations:
1) 100%=119.4
2) x%=12.01
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%=119.4/12.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.01 is what percent of 119.4

100%/x%=119.4/12.01
(100/x)*x=(119.4/12.01)*x       - we multiply both sides of the equation by x
100=9.9417152373022*x       - we divide both sides of the equation by (9.9417152373022) to get x
100/9.9417152373022=x
10.058626465662=x
x=10.058626465662

now we have:
12.01 is 10.058626465662% of 119.4