25.37 is what percent of 36.28 - 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 36.28 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 36.28, so we can write it down as 100%=36.28.
4. We know, that x% equals 25.37 of the output value, so we can write it down as x%=25.37.
5. Now we have two simple equations:
1) 100%=36.28
2) x%=25.37
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%=36.28/25.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.37 is what percent of 36.28

100%/x%=36.28/25.37
(100/x)*x=(36.28/25.37)*x       - we multiply both sides of the equation by x
100=1.4300354749704*x       - we divide both sides of the equation by (1.4300354749704) to get x
100/1.4300354749704=x
69.928335170893=x
x=69.928335170893

now we have:
25.37 is 69.928335170893% of 36.28