57.65 is what percent of 1002.47 - 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 1002.47 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 1002.47, so we can write it down as 100%=1002.47.
4. We know, that x% equals 57.65 of the output value, so we can write it down as x%=57.65.
5. Now we have two simple equations:
1) 100%=1002.47
2) x%=57.65
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%=1002.47/57.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.65 is what percent of 1002.47

100%/x%=1002.47/57.65
(100/x)*x=(1002.47/57.65)*x       - we multiply both sides of the equation by x
100=17.388898525585*x       - we divide both sides of the equation by (17.388898525585) to get x
100/17.388898525585=x
5.7507955350285=x
x=5.7507955350285

now we have:
57.65 is 5.7507955350285% of 1002.47