58.2 is what percent of 144.2 - 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 144.2 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 144.2, so we can write it down as 100%=144.2.
4. We know, that x% equals 58.2 of the output value, so we can write it down as x%=58.2.
5. Now we have two simple equations:
1) 100%=144.2
2) x%=58.2
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%=144.2/58.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.2 is what percent of 144.2

100%/x%=144.2/58.2
(100/x)*x=(144.2/58.2)*x       - we multiply both sides of the equation by x
100=2.4776632302405*x       - we divide both sides of the equation by (2.4776632302405) to get x
100/2.4776632302405=x
40.360610263523=x
x=40.360610263523

now we have:
58.2 is 40.360610263523% of 144.2