25.69 is what percent of 33.36 - 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 33.36 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 33.36, so we can write it down as 100%=33.36.
4. We know, that x% equals 25.69 of the output value, so we can write it down as x%=25.69.
5. Now we have two simple equations:
1) 100%=33.36
2) x%=25.69
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%=33.36/25.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.69 is what percent of 33.36

100%/x%=33.36/25.69
(100/x)*x=(33.36/25.69)*x       - we multiply both sides of the equation by x
100=1.2985597508758*x       - we divide both sides of the equation by (1.2985597508758) to get x
100/1.2985597508758=x
77.008393285372=x
x=77.008393285372

now we have:
25.69 is 77.008393285372% of 33.36