253.98 is what percent of 261.25 - 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 261.25 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 261.25, so we can write it down as 100%=261.25.
4. We know, that x% equals 253.98 of the output value, so we can write it down as x%=253.98.
5. Now we have two simple equations:
1) 100%=261.25
2) x%=253.98
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%=261.25/253.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.98 is what percent of 261.25

100%/x%=261.25/253.98
(100/x)*x=(261.25/253.98)*x       - we multiply both sides of the equation by x
100=1.0286243011261*x       - we divide both sides of the equation by (1.0286243011261) to get x
100/1.0286243011261=x
97.217224880383=x
x=97.217224880383

now we have:
253.98 is 97.217224880383% of 261.25