31.98 is what percent of 206.25 - 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 206.25 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 206.25, so we can write it down as 100%=206.25.
4. We know, that x% equals 31.98 of the output value, so we can write it down as x%=31.98.
5. Now we have two simple equations:
1) 100%=206.25
2) x%=31.98
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%=206.25/31.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.98 is what percent of 206.25

100%/x%=206.25/31.98
(100/x)*x=(206.25/31.98)*x       - we multiply both sides of the equation by x
100=6.4493433395872*x       - we divide both sides of the equation by (6.4493433395872) to get x
100/6.4493433395872=x
15.505454545455=x
x=15.505454545455

now we have:
31.98 is 15.505454545455% of 206.25