11.82 is what percent of 14.07 - 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 14.07 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 14.07, so we can write it down as 100%=14.07.
4. We know, that x% equals 11.82 of the output value, so we can write it down as x%=11.82.
5. Now we have two simple equations:
1) 100%=14.07
2) x%=11.82
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%=14.07/11.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.82 is what percent of 14.07

100%/x%=14.07/11.82
(100/x)*x=(14.07/11.82)*x       - we multiply both sides of the equation by x
100=1.1903553299492*x       - we divide both sides of the equation by (1.1903553299492) to get x
100/1.1903553299492=x
84.008528784648=x
x=84.008528784648

now we have:
11.82 is 84.008528784648% of 14.07