130.2 is what percent of 131.9 - 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 131.9 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 131.9, so we can write it down as 100%=131.9.
4. We know, that x% equals 130.2 of the output value, so we can write it down as x%=130.2.
5. Now we have two simple equations:
1) 100%=131.9
2) x%=130.2
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%=131.9/130.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.2 is what percent of 131.9

100%/x%=131.9/130.2
(100/x)*x=(131.9/130.2)*x       - we multiply both sides of the equation by x
100=1.0130568356375*x       - we divide both sides of the equation by (1.0130568356375) to get x
100/1.0130568356375=x
98.711144806672=x
x=98.711144806672

now we have:
130.2 is 98.711144806672% of 131.9