12.03 is what percent of 85.52 - 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 85.52 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 85.52, so we can write it down as 100%=85.52.
4. We know, that x% equals 12.03 of the output value, so we can write it down as x%=12.03.
5. Now we have two simple equations:
1) 100%=85.52
2) x%=12.03
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%=85.52/12.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.03 is what percent of 85.52

100%/x%=85.52/12.03
(100/x)*x=(85.52/12.03)*x       - we multiply both sides of the equation by x
100=7.1088944305902*x       - we divide both sides of the equation by (7.1088944305902) to get x
100/7.1088944305902=x
14.066884939196=x
x=14.066884939196

now we have:
12.03 is 14.066884939196% of 85.52