What is 31.4 percent of 52.5 - 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 52.5 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 52.5 is 100%, so we can write it down as 52.5=100%.
4. We know, that x is 31.4% of the output value, so we can write it down as x=31.4%.
5. Now we have two simple equations:
1) 52.5=100%
2) x=31.4%
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:
52.5/x=100%/31.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 31.4% of 52.5

52.5/x=100/31.4
(52.5/x)*x=(100/31.4)*x       - we multiply both sides of the equation by x
52.5=3.1847133757962*x       - we divide both sides of the equation by (3.1847133757962) to get x
52.5/3.1847133757962=x
16.485=x
x=16.485

now we have:
31.4% of 52.5=16.485