142.99 is what percent of 249.99 - 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 249.99 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 249.99, so we can write it down as 100%=249.99.
4. We know, that x% equals 142.99 of the output value, so we can write it down as x%=142.99.
5. Now we have two simple equations:
1) 100%=249.99
2) x%=142.99
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%=249.99/142.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.99 is what percent of 249.99

100%/x%=249.99/142.99
(100/x)*x=(249.99/142.99)*x       - we multiply both sides of the equation by x
100=1.7483040772082*x       - we divide both sides of the equation by (1.7483040772082) to get x
100/1.7483040772082=x
57.198287931517=x
x=57.198287931517

now we have:
142.99 is 57.198287931517% of 249.99