2199.98 is what percent of 5687 - 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 5687 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 5687, so we can write it down as 100%=5687.
4. We know, that x% equals 2199.98 of the output value, so we can write it down as x%=2199.98.
5. Now we have two simple equations:
1) 100%=5687
2) x%=2199.98
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%=5687/2199.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2199.98 is what percent of 5687

100%/x%=5687/2199.98
(100/x)*x=(5687/2199.98)*x       - we multiply both sides of the equation by x
100=2.5850235002136*x       - we divide both sides of the equation by (2.5850235002136) to get x
100/2.5850235002136=x
38.684367856515=x
x=38.684367856515

now we have:
2199.98 is 38.684367856515% of 5687