26.25 is what percent of 29.25 - 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 29.25 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 29.25, so we can write it down as 100%=29.25.
4. We know, that x% equals 26.25 of the output value, so we can write it down as x%=26.25.
5. Now we have two simple equations:
1) 100%=29.25
2) x%=26.25
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%=29.25/26.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.25 is what percent of 29.25

100%/x%=29.25/26.25
(100/x)*x=(29.25/26.25)*x       - we multiply both sides of the equation by x
100=1.1142857142857*x       - we divide both sides of the equation by (1.1142857142857) to get x
100/1.1142857142857=x
89.74358974359=x
x=89.74358974359

now we have:
26.25 is 89.74358974359% of 29.25