130.12 is what percent of 1215 - 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 1215 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 1215, so we can write it down as 100%=1215.
4. We know, that x% equals 130.12 of the output value, so we can write it down as x%=130.12.
5. Now we have two simple equations:
1) 100%=1215
2) x%=130.12
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%=1215/130.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.12 is what percent of 1215

100%/x%=1215/130.12
(100/x)*x=(1215/130.12)*x       - we multiply both sides of the equation by x
100=9.3375345834614*x       - we divide both sides of the equation by (9.3375345834614) to get x
100/9.3375345834614=x
10.709465020576=x
x=10.709465020576

now we have:
130.12 is 10.709465020576% of 1215