130.8 is what percent of 871.8 - 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 871.8 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 871.8, so we can write it down as 100%=871.8.
4. We know, that x% equals 130.8 of the output value, so we can write it down as x%=130.8.
5. Now we have two simple equations:
1) 100%=871.8
2) x%=130.8
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%=871.8/130.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.8 is what percent of 871.8

100%/x%=871.8/130.8
(100/x)*x=(871.8/130.8)*x       - we multiply both sides of the equation by x
100=6.6651376146789*x       - we divide both sides of the equation by (6.6651376146789) to get x
100/6.6651376146789=x
15.003441156228=x
x=15.003441156228

now we have:
130.8 is 15.003441156228% of 871.8