11.12 is what percent of 130.03 - 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 130.03 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 130.03, so we can write it down as 100%=130.03.
4. We know, that x% equals 11.12 of the output value, so we can write it down as x%=11.12.
5. Now we have two simple equations:
1) 100%=130.03
2) x%=11.12
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%=130.03/11.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.12 is what percent of 130.03

100%/x%=130.03/11.12
(100/x)*x=(130.03/11.12)*x       - we multiply both sides of the equation by x
100=11.693345323741*x       - we divide both sides of the equation by (11.693345323741) to get x
100/11.693345323741=x
8.5518726447743=x
x=8.5518726447743

now we have:
11.12 is 8.5518726447743% of 130.03