What is 2.1875 percent of 31200 - 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 31200 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 31200 is 100%, so we can write it down as 31200=100%.
4. We know, that x is 2.1875% of the output value, so we can write it down as x=2.1875%.
5. Now we have two simple equations:
1) 31200=100%
2) x=2.1875%
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:
31200/x=100%/2.1875%
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 2.1875% of 31200

31200/x=100/2.1875
(31200/x)*x=(100/2.1875)*x       - we multiply both sides of the equation by x
31200=45.714285714286*x       - we divide both sides of the equation by (45.714285714286) to get x
31200/45.714285714286=x
682.5=x
x=682.5

now we have:
2.1875% of 31200=682.5