25.28 is what percent of 37.54 - 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 37.54 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 37.54, so we can write it down as 100%=37.54.
4. We know, that x% equals 25.28 of the output value, so we can write it down as x%=25.28.
5. Now we have two simple equations:
1) 100%=37.54
2) x%=25.28
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%=37.54/25.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.28 is what percent of 37.54

100%/x%=37.54/25.28
(100/x)*x=(37.54/25.28)*x       - we multiply both sides of the equation by x
100=1.4849683544304*x       - we divide both sides of the equation by (1.4849683544304) to get x
100/1.4849683544304=x
67.341502397443=x
x=67.341502397443

now we have:
25.28 is 67.341502397443% of 37.54