25 is what percent of 0.57 - 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 0.57 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 0.57, so we can write it down as 100%=0.57.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=0.57
2) x%=25
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%=0.57/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 0.57

100%/x%=0.57/25
(100/x)*x=(0.57/25)*x       - we multiply both sides of the equation by x
100=0.0228*x       - we divide both sides of the equation by (0.0228) to get x
100/0.0228=x
4385.9649122807=x
x=4385.9649122807

now we have:
25 is 4385.9649122807% of 0.57