142.46 is what percent of 199.26 - 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 199.26 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 199.26, so we can write it down as 100%=199.26.
4. We know, that x% equals 142.46 of the output value, so we can write it down as x%=142.46.
5. Now we have two simple equations:
1) 100%=199.26
2) x%=142.46
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%=199.26/142.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.46 is what percent of 199.26

100%/x%=199.26/142.46
(100/x)*x=(199.26/142.46)*x       - we multiply both sides of the equation by x
100=1.3987084093781*x       - we divide both sides of the equation by (1.3987084093781) to get x
100/1.3987084093781=x
71.494529760112=x
x=71.494529760112

now we have:
142.46 is 71.494529760112% of 199.26