142.68 is what percent of 231 - 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 231 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 231, so we can write it down as 100%=231.
4. We know, that x% equals 142.68 of the output value, so we can write it down as x%=142.68.
5. Now we have two simple equations:
1) 100%=231
2) x%=142.68
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%=231/142.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.68 is what percent of 231

100%/x%=231/142.68
(100/x)*x=(231/142.68)*x       - we multiply both sides of the equation by x
100=1.619007569386*x       - we divide both sides of the equation by (1.619007569386) to get x
100/1.619007569386=x
61.766233766234=x
x=61.766233766234

now we have:
142.68 is 61.766233766234% of 231