142.85 is what percent of 557 - 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 557 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 557, so we can write it down as 100%=557.
4. We know, that x% equals 142.85 of the output value, so we can write it down as x%=142.85.
5. Now we have two simple equations:
1) 100%=557
2) x%=142.85
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%=557/142.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.85 is what percent of 557

100%/x%=557/142.85
(100/x)*x=(557/142.85)*x       - we multiply both sides of the equation by x
100=3.899194959748*x       - we divide both sides of the equation by (3.899194959748) to get x
100/3.899194959748=x
25.64631956912=x
x=25.64631956912

now we have:
142.85 is 25.64631956912% of 557