25.42 is what percent of 50 - 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 50 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 50, so we can write it down as 100%=50.
4. We know, that x% equals 25.42 of the output value, so we can write it down as x%=25.42.
5. Now we have two simple equations:
1) 100%=50
2) x%=25.42
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%=50/25.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.42 is what percent of 50

100%/x%=50/25.42
(100/x)*x=(50/25.42)*x       - we multiply both sides of the equation by x
100=1.9669551534225*x       - we divide both sides of the equation by (1.9669551534225) to get x
100/1.9669551534225=x
50.84=x
x=50.84

now we have:
25.42 is 50.84% of 50