36.87 is what percent of 1699.2 - 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 1699.2 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 1699.2, so we can write it down as 100%=1699.2.
4. We know, that x% equals 36.87 of the output value, so we can write it down as x%=36.87.
5. Now we have two simple equations:
1) 100%=1699.2
2) x%=36.87
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%=1699.2/36.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.87 is what percent of 1699.2

100%/x%=1699.2/36.87
(100/x)*x=(1699.2/36.87)*x       - we multiply both sides of the equation by x
100=46.086248982913*x       - we divide both sides of the equation by (46.086248982913) to get x
100/46.086248982913=x
2.1698446327684=x
x=2.1698446327684

now we have:
36.87 is 2.1698446327684% of 1699.2