What is 107.1 percent of 130.2 - 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 130.2 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 130.2 is 100%, so we can write it down as 130.2=100%.
4. We know, that x is 107.1% of the output value, so we can write it down as x=107.1%.
5. Now we have two simple equations:
1) 130.2=100%
2) x=107.1%
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:
130.2/x=100%/107.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 107.1% of 130.2

130.2/x=100/107.1
(130.2/x)*x=(100/107.1)*x       - we multiply both sides of the equation by x
130.2=0.93370681605976*x       - we divide both sides of the equation by (0.93370681605976) to get x
130.2/0.93370681605976=x
139.4442=x
x=139.4442

now we have:
107.1% of 130.2=139.4442