57 is what percent of 6469 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6469 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 6469, so we can write it down as 100%=6469.
4. We know, that x% equals 57 of the output value, so we can write it down as x%=57.
5. Now we have two simple equations:
1) 100%=6469
2) x%=57
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%=6469/57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57 is what percent of 6469

100%/x%=6469/57
(100/x)*x=(6469/57)*x       - we multiply both sides of the equation by x
100=113.49122807018*x       - we divide both sides of the equation by (113.49122807018) to get x
100/113.49122807018=x
0.88112536713557=x
x=0.88112536713557

now we have:
57 is 0.88112536713557% of 6469

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