11.72 is what percent of 12.03 - 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 12.03 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 12.03, so we can write it down as 100%=12.03.
4. We know, that x% equals 11.72 of the output value, so we can write it down as x%=11.72.
5. Now we have two simple equations:
1) 100%=12.03
2) x%=11.72
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%=12.03/11.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.72 is what percent of 12.03

100%/x%=12.03/11.72
(100/x)*x=(12.03/11.72)*x       - we multiply both sides of the equation by x
100=1.0264505119454*x       - we divide both sides of the equation by (1.0264505119454) to get x
100/1.0264505119454=x
97.423108894431=x
x=97.423108894431

now we have:
11.72 is 97.423108894431% of 12.03