29.25 is what percent of 31 - 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 31 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 31, so we can write it down as 100%=31.
4. We know, that x% equals 29.25 of the output value, so we can write it down as x%=29.25.
5. Now we have two simple equations:
1) 100%=31
2) x%=29.25
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%=31/29.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.25 is what percent of 31

100%/x%=31/29.25
(100/x)*x=(31/29.25)*x       - we multiply both sides of the equation by x
100=1.0598290598291*x       - we divide both sides of the equation by (1.0598290598291) to get x
100/1.0598290598291=x
94.354838709677=x
x=94.354838709677

now we have:
29.25 is 94.354838709677% of 31