What is 1687.5 percent of 2250 - 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 2250 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 2250 is 100%, so we can write it down as 2250=100%.
4. We know, that x is 1687.5% of the output value, so we can write it down as x=1687.5%.
5. Now we have two simple equations:
1) 2250=100%
2) x=1687.5%
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:
2250/x=100%/1687.5%
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 1687.5% of 2250

2250/x=100/1687.5
(2250/x)*x=(100/1687.5)*x       - we multiply both sides of the equation by x
2250=0.059259259259259*x       - we divide both sides of the equation by (0.059259259259259) to get x
2250/0.059259259259259=x
37968.75=x
x=37968.75

now we have:
1687.5% of 2250=37968.75