2.02 is what percent of 54.39 - 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 54.39 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 54.39, so we can write it down as 100%=54.39.
4. We know, that x% equals 2.02 of the output value, so we can write it down as x%=2.02.
5. Now we have two simple equations:
1) 100%=54.39
2) x%=2.02
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%=54.39/2.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.02 is what percent of 54.39

100%/x%=54.39/2.02
(100/x)*x=(54.39/2.02)*x       - we multiply both sides of the equation by x
100=26.925742574257*x       - we divide both sides of the equation by (26.925742574257) to get x
100/26.925742574257=x
3.7139179996323=x
x=3.7139179996323

now we have:
2.02 is 3.7139179996323% of 54.39