29.25 is what percent of 31.5 - 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 31.5 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 31.5, so we can write it down as 100%=31.5.
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%=31.5
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%=31.5/29.25
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 31.5

100%/x%=31.5/29.25
(100/x)*x=(31.5/29.25)*x       - we multiply both sides of the equation by x
100=1.0769230769231*x       - we divide both sides of the equation by (1.0769230769231) to get x
100/1.0769230769231=x
92.857142857143=x
x=92.857142857143

now we have:
29.25 is 92.857142857143% of 31.5