140.52 is what percent of 1381 - 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 1381 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 1381, so we can write it down as 100%=1381.
4. We know, that x% equals 140.52 of the output value, so we can write it down as x%=140.52.
5. Now we have two simple equations:
1) 100%=1381
2) x%=140.52
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%=1381/140.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.52 is what percent of 1381

100%/x%=1381/140.52
(100/x)*x=(1381/140.52)*x       - we multiply both sides of the equation by x
100=9.8277825220609*x       - we divide both sides of the equation by (9.8277825220609) to get x
100/9.8277825220609=x
10.175235336713=x
x=10.175235336713

now we have:
140.52 is 10.175235336713% of 1381