143.1 is what percent of 1390.8 - 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 1390.8 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 1390.8, so we can write it down as 100%=1390.8.
4. We know, that x% equals 143.1 of the output value, so we can write it down as x%=143.1.
5. Now we have two simple equations:
1) 100%=1390.8
2) x%=143.1
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:
100%/x%=1390.8/143.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.1 is what percent of 1390.8

100%/x%=1390.8/143.1
(100/x)*x=(1390.8/143.1)*x       - we multiply both sides of the equation by x
100=9.7190775681342*x       - we divide both sides of the equation by (9.7190775681342) to get x
100/9.7190775681342=x
10.289042277826=x
x=10.289042277826

now we have:
143.1 is 10.289042277826% of 1390.8