What is 21.37 percent of 1687.5 - 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 1687.5 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 1687.5 is 100%, so we can write it down as 1687.5=100%.
4. We know, that x is 21.37% of the output value, so we can write it down as x=21.37%.
5. Now we have two simple equations:
1) 1687.5=100%
2) x=21.37%
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:
1687.5/x=100%/21.37%
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 21.37% of 1687.5

1687.5/x=100/21.37
(1687.5/x)*x=(100/21.37)*x       - we multiply both sides of the equation by x
1687.5=4.6794571829668*x       - we divide both sides of the equation by (4.6794571829668) to get x
1687.5/4.6794571829668=x
360.61875=x
x=360.61875

now we have:
21.37% of 1687.5=360.61875