25.99 is what percent of 77.97 - 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 77.97 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 77.97, so we can write it down as 100%=77.97.
4. We know, that x% equals 25.99 of the output value, so we can write it down as x%=25.99.
5. Now we have two simple equations:
1) 100%=77.97
2) x%=25.99
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%=77.97/25.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.99 is what percent of 77.97

100%/x%=77.97/25.99
(100/x)*x=(77.97/25.99)*x       - we multiply both sides of the equation by x
100=3*x       - we divide both sides of the equation by (3) to get x
100/3=x
33.333333333333=x
x=33.333333333333

now we have:
25.99 is 33.333333333333% of 77.97