25.99 is what percent of 199.51 - 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 199.51 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 199.51, so we can write it down as 100%=199.51.
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%=199.51
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%=199.51/25.99
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 199.51

100%/x%=199.51/25.99
(100/x)*x=(199.51/25.99)*x       - we multiply both sides of the equation by x
100=7.6764140053867*x       - we divide both sides of the equation by (7.6764140053867) to get x
100/7.6764140053867=x
13.026915944063=x
x=13.026915944063

now we have:
25.99 is 13.026915944063% of 199.51