20.57 is what percent of 42.51 - 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 42.51 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 42.51, so we can write it down as 100%=42.51.
4. We know, that x% equals 20.57 of the output value, so we can write it down as x%=20.57.
5. Now we have two simple equations:
1) 100%=42.51
2) x%=20.57
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%=42.51/20.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.57 is what percent of 42.51

100%/x%=42.51/20.57
(100/x)*x=(42.51/20.57)*x       - we multiply both sides of the equation by x
100=2.0666018473505*x       - we divide both sides of the equation by (2.0666018473505) to get x
100/2.0666018473505=x
48.38861444366=x
x=48.38861444366

now we have:
20.57 is 48.38861444366% of 42.51