25.36 is what percent of 41.56 - 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 41.56 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 41.56, so we can write it down as 100%=41.56.
4. We know, that x% equals 25.36 of the output value, so we can write it down as x%=25.36.
5. Now we have two simple equations:
1) 100%=41.56
2) x%=25.36
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%=41.56/25.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.36 is what percent of 41.56

100%/x%=41.56/25.36
(100/x)*x=(41.56/25.36)*x       - we multiply both sides of the equation by x
100=1.6388012618297*x       - we divide both sides of the equation by (1.6388012618297) to get x
100/1.6388012618297=x
61.02021174206=x
x=61.02021174206

now we have:
25.36 is 61.02021174206% of 41.56