31.33 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 31.33 of the output value, so we can write it down as x%=31.33.
5. Now we have two simple equations:
1) 100%=100
2) x%=31.33
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%=100/31.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.33 is what percent of 100

100%/x%=100/31.33
(100/x)*x=(100/31.33)*x       - we multiply both sides of the equation by x
100=3.19182891797*x       - we divide both sides of the equation by (3.19182891797) to get x
100/3.19182891797=x
31.33=x
x=31.33

now we have:
31.33 is 31.33% of 100