31.25 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 31.25 of the output value, so we can write it down as x%=31.25.
5. Now we have two simple equations:
1) 100%=106
2) x%=31.25
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%=106/31.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.25 is what percent of 106

100%/x%=106/31.25
(100/x)*x=(106/31.25)*x       - we multiply both sides of the equation by x
100=3.392*x       - we divide both sides of the equation by (3.392) to get x
100/3.392=x
29.481132075472=x
x=29.481132075472

now we have:
31.25 is 29.481132075472% of 106