54.58 is what percent of 1538.46 - 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 1538.46 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 1538.46, so we can write it down as 100%=1538.46.
4. We know, that x% equals 54.58 of the output value, so we can write it down as x%=54.58.
5. Now we have two simple equations:
1) 100%=1538.46
2) x%=54.58
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%=1538.46/54.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.58 is what percent of 1538.46

100%/x%=1538.46/54.58
(100/x)*x=(1538.46/54.58)*x       - we multiply both sides of the equation by x
100=28.187248076218*x       - we divide both sides of the equation by (28.187248076218) to get x
100/28.187248076218=x
3.5477035477035=x
x=3.5477035477035

now we have:
54.58 is 3.5477035477035% of 1538.46