39.55 is what percent of 1251.25 - 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 1251.25 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 1251.25, so we can write it down as 100%=1251.25.
4. We know, that x% equals 39.55 of the output value, so we can write it down as x%=39.55.
5. Now we have two simple equations:
1) 100%=1251.25
2) x%=39.55
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%=1251.25/39.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.55 is what percent of 1251.25

100%/x%=1251.25/39.55
(100/x)*x=(1251.25/39.55)*x       - we multiply both sides of the equation by x
100=31.637168141593*x       - we divide both sides of the equation by (31.637168141593) to get x
100/31.637168141593=x
3.1608391608392=x
x=3.1608391608392

now we have:
39.55 is 3.1608391608392% of 1251.25