142.87 is what percent of 952.5 - 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 952.5 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 952.5, so we can write it down as 100%=952.5.
4. We know, that x% equals 142.87 of the output value, so we can write it down as x%=142.87.
5. Now we have two simple equations:
1) 100%=952.5
2) x%=142.87
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%=952.5/142.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.87 is what percent of 952.5

100%/x%=952.5/142.87
(100/x)*x=(952.5/142.87)*x       - we multiply both sides of the equation by x
100=6.6668999790019*x       - we divide both sides of the equation by (6.6668999790019) to get x
100/6.6668999790019=x
14.999475065617=x
x=14.999475065617

now we have:
142.87 is 14.999475065617% of 952.5