130.15 is what percent of 162.45 - 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 162.45 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 162.45, so we can write it down as 100%=162.45.
4. We know, that x% equals 130.15 of the output value, so we can write it down as x%=130.15.
5. Now we have two simple equations:
1) 100%=162.45
2) x%=130.15
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%=162.45/130.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.15 is what percent of 162.45

100%/x%=162.45/130.15
(100/x)*x=(162.45/130.15)*x       - we multiply both sides of the equation by x
100=1.2481751824818*x       - we divide both sides of the equation by (1.2481751824818) to get x
100/1.2481751824818=x
80.116959064327=x
x=80.116959064327

now we have:
130.15 is 80.116959064327% of 162.45