60.2 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 60.2 of the output value, so we can write it down as x%=60.2.
5. Now we have two simple equations:
1) 100%=144.2
2) x%=60.2
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%=144.2/60.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.2 is what percent of 144.2

100%/x%=144.2/60.2
(100/x)*x=(144.2/60.2)*x       - we multiply both sides of the equation by x
100=2.3953488372093*x       - we divide both sides of the equation by (2.3953488372093) to get x
100/2.3953488372093=x
41.747572815534=x
x=41.747572815534

now we have:
60.2 is 41.747572815534% of 144.2