57 is what percent of 1.002 - 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 1.002 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 1.002, so we can write it down as 100%=1.002.
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%=1.002
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%=1.002/57
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 1.002

100%/x%=1.002/57
(100/x)*x=(1.002/57)*x       - we multiply both sides of the equation by x
100=0.017578947368421*x       - we divide both sides of the equation by (0.017578947368421) to get x
100/0.017578947368421=x
5688.622754491=x
x=5688.622754491

now we have:
57 is 5688.622754491% of 1.002