25.56 is what percent of 37.41 - 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 37.41 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 37.41, so we can write it down as 100%=37.41.
4. We know, that x% equals 25.56 of the output value, so we can write it down as x%=25.56.
5. Now we have two simple equations:
1) 100%=37.41
2) x%=25.56
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%=37.41/25.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.56 is what percent of 37.41

100%/x%=37.41/25.56
(100/x)*x=(37.41/25.56)*x       - we multiply both sides of the equation by x
100=1.4636150234742*x       - we divide both sides of the equation by (1.4636150234742) to get x
100/1.4636150234742=x
68.323977546111=x
x=68.323977546111

now we have:
25.56 is 68.323977546111% of 37.41