25.09 is what percent of 36.84 - 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 36.84 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 36.84, so we can write it down as 100%=36.84.
4. We know, that x% equals 25.09 of the output value, so we can write it down as x%=25.09.
5. Now we have two simple equations:
1) 100%=36.84
2) x%=25.09
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%=36.84/25.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.09 is what percent of 36.84

100%/x%=36.84/25.09
(100/x)*x=(36.84/25.09)*x       - we multiply both sides of the equation by x
100=1.4683140693503*x       - we divide both sides of the equation by (1.4683140693503) to get x
100/1.4683140693503=x
68.105320304017=x
x=68.105320304017

now we have:
25.09 is 68.105320304017% of 36.84