130.48 is what percent of 182.1 - 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 182.1 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 182.1, so we can write it down as 100%=182.1.
4. We know, that x% equals 130.48 of the output value, so we can write it down as x%=130.48.
5. Now we have two simple equations:
1) 100%=182.1
2) x%=130.48
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%=182.1/130.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.48 is what percent of 182.1

100%/x%=182.1/130.48
(100/x)*x=(182.1/130.48)*x       - we multiply both sides of the equation by x
100=1.3956161863887*x       - we divide both sides of the equation by (1.3956161863887) to get x
100/1.3956161863887=x
71.652937946183=x
x=71.652937946183

now we have:
130.48 is 71.652937946183% of 182.1