557.36 is what percent of 1002.36 - 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 1002.36 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 1002.36, so we can write it down as 100%=1002.36.
4. We know, that x% equals 557.36 of the output value, so we can write it down as x%=557.36.
5. Now we have two simple equations:
1) 100%=1002.36
2) x%=557.36
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%=1002.36/557.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.36 is what percent of 1002.36

100%/x%=1002.36/557.36
(100/x)*x=(1002.36/557.36)*x       - we multiply both sides of the equation by x
100=1.7984067747955*x       - we divide both sides of the equation by (1.7984067747955) to get x
100/1.7984067747955=x
55.604772736342=x
x=55.604772736342

now we have:
557.36 is 55.604772736342% of 1002.36